M. Aizenman and J. Wehr, Rounding effects of quenched randomness on first-order phase transitions, Communications in Mathematical Physics, vol.29, issue.3, pp.489-528, 1990.
DOI : 10.1515/9783110850147

K. S. Alexander and V. Sidoravicius, Pinning of polymers and interfaces by random potentials, The Annals of Applied Probability, vol.16, issue.2, pp.636-669, 2006.
DOI : 10.1214/105051606000000015

K. S. Alexander, The Effect of Disorder on Polymer Depinning Transitions, Communications in Mathematical Physics, vol.35, issue.1, pp.117-146, 2008.
DOI : 10.1007/s100510050016

K. S. Alexander and N. Zygouras, Quenched and Annealed Critical Points in Polymer Pinning Models, Communications in Mathematical Physics, vol.280, issue.4, pp.659-689, 2009.
DOI : 10.1142/p504

M. Y. Azbel, Long-range interaction and heterogeneity yield a different kind of critical phenomenon, Physical Review E, vol.8, issue.5, p.50901, 2003.
DOI : 10.1209/0295-5075/8/1/002

M. Y. Azbel, Giant non-universal critical index and fluctuations in DNA phase transition, Physica A: Statistical Mechanics and its Applications, vol.321, issue.3-4, pp.571-576, 2003.
DOI : 10.1016/S0378-4371(02)01745-4

S. M. Bhattacharjee and S. Mukherji, Directed polymers with random interaction: Marginal relevance and novel criticality, Physical Review Letters, vol.57, issue.1, pp.49-52, 1993.
DOI : 10.1103/PhysRevLett.57.2184

S. M. Bhattacharjee and S. Mukherji, Directed polymers with random interaction - An exactly solvable case, Phys. Rev. E, vol.48, pp.3483-3496, 1993.

Q. Berger and H. Lacoin, Sharp critical behavior for pinning models in a random correlated environment, Stochastic Processes and their Applications, vol.122, issue.4, pp.1397-1436, 2012.
DOI : 10.1016/j.spa.2011.12.007

Q. Berger and F. L. Toninelli, Hierachical pinning model in correlated random environment . Annales de l'Institut Henri Poincaré, pp.781-816, 2013.
DOI : 10.1214/12-aihp493

URL : http://doi.org/10.1214/12-aihp493

M. Birkner and R. Sun, Annealed vs quenched critical points for a random walk pinning model. Annales de l'Institut Henri Poincaré, pp.414-441, 2010.
DOI : 10.1214/09-aihp319

URL : http://doi.org/10.1214/09-aihp319

U. Bockelmann, B. Essevaz-roulet, and F. Heslot, Molecular Stick-Slip Motion Revealed by Opening DNA with Piconewton Forces, Physical Review Letters, vol.317, issue.22, p.4489, 1997.
DOI : 10.1209/0295-5075/31/5-6/015

U. Bockelmann, B. Essevaz-roulet, and F. Heslot, DNA strand separation studied by single molecule force measurements, Physical Review E, vol.31, issue.2, pp.2386-2394, 1998.
DOI : 10.1209/0295-5075/31/5-6/015

U. Bockelmann, B. Essevaz-roulet, P. Thomen, and F. Heslot, Mechanical opening of DNA by micro manipulation and force measurements, Comptes Rendus Physique, vol.3, issue.5, pp.585-594, 2002.
DOI : 10.1016/S1631-0705(02)01342-7

T. Bodineau, G. Giacomin, H. Lacoin, and F. L. Toninelli, Copolymers at Selective Interfaces: New Bounds on??the??Phase Diagram, Journal of Statistical Physics, vol.13, issue.4, pp.603-626, 2008.
DOI : 10.1007/s100510050016

URL : https://hal.archives-ouvertes.fr/hal-00264365

E. Bolthausen and F. Den-hollander, Localization transition of random copolymers near selective interface, Ann. Probab, vol.25, pp.1334-1366, 1997.

E. Bolthausen and G. Giacomin, Periodic copolymers at selective interfaces: A large deviations approach, The Annals of Applied Probability, vol.15, issue.1B, pp.963-983, 2005.
DOI : 10.1214/105051604000000800

URL : https://hal.archives-ouvertes.fr/hal-00101800

E. Bolthausen, E. Caravenna, and B. De-tiliere, The quenched critical point of a diluted disordered polymer model, Stochastic Processes and their Applications, vol.119, issue.5, pp.1479-1504, 2009.
DOI : 10.1016/j.spa.2008.07.008

E. Bolthausen, T. Funaki, and T. Otobe, Concentration under scaling limits for weakly pinned Gaussian random walks. Prob. Theory Relat, pp.441-480, 2009.
DOI : 10.1007/s00440-007-0132-8

F. Caravenna and G. Giacomin, On Constrained Annealed Bounds for Pinning and Wetting Models, Electronic Communications in Probability, vol.10, issue.0, pp.179-189, 2005.
DOI : 10.1214/ECP.v10-1150

URL : https://hal.archives-ouvertes.fr/hal-00018589

J. T. Chayes, L. Chayes, D. S. Fisher, and T. Spencer, Finite-Size Scaling and Correlation Lengths for Disordered Systems, Physical Review Letters, vol.51, issue.24, p.2999, 1986.
DOI : 10.1103/PhysRevLett.51.1896

P. Cluzel, A. Lebrun, H. Heller, R. Lavery, J. Viovy et al., DNA: An Extensible Molecule, Science, vol.271, issue.5250, pp.792-794, 1996.
DOI : 10.1126/science.271.5250.792

URL : https://hal.archives-ouvertes.fr/hal-00312971

S. Cocco, R. Monasson, and J. F. Marko, Force and kinetic barriers to unzipping of the DNA double helix, Proc. Natl. Acad. Sci. USA 98, pp.8608-8613, 2001.
DOI : 10.1103/PhysRev.34.57

P. Collet, J. P. Eckmann, V. Glaser, and A. Martin, A spin glass with random couplings, Journal of Statistical Physics, vol.93, issue.1-2, pp.89-106, 1984.
DOI : 10.1007/BF01015728

URL : http://cds.cern.ch/record/154770/files/cer-000066037.pdf

P. Collet, J. P. Eckmann, V. Glaser, and A. Martin, Study of the iterations of a mapping associated to a spin glass model, Communications in Mathematical Physics, vol.94, issue.3, pp.353-370, 1984.
DOI : 10.1007/BF01224830

J. A. Cuesta and A. Sánchez, General non-existence theorem for phase transitions in one-dimensional systems with short range interactions, and physical examples of such transitions, J. Stat. Phys, p.115, 2004.

T. Dauxois, M. Peyrard, and A. R. Bishop, Entropy-driven DNA denaturation, Physical Review E, vol.67, issue.1, pp.44-47, 1993.
DOI : 10.1007/BF01049717

T. Dauxois, M. Peyrard, and A. R. Bishop, Dynamics and thermodynamics of a nonlinear model for DNA denaturation, Physical Review E, vol.46, issue.1, pp.684-697, 1993.
DOI : 10.1103/PhysRevA.46.3198

T. Dauxois and M. Peyrard, Entropy-driven transition in a one-dimensional system, Physical Review E, vol.66, issue.5, pp.4027-4040, 1993.
DOI : 10.1063/1.1731411

B. Derrida and E. Gardner, Renormalisation group study of a disordered model, Journal of Physics A: Mathematical and General, vol.17, issue.16, pp.3223-3236, 1984.
DOI : 10.1088/0305-4470/17/16/023

B. Derrida, H. Dickinson, and J. Yeomans, On the Harris criterion for hierarchical lattices, Journal of Physics A: Mathematical and General, vol.18, issue.1, pp.53-55, 1985.
DOI : 10.1088/0305-4470/18/1/010

B. Derrida, Directed polymers in a random medium Physica A: Stat, Mech. App, vol.163, pp.71-84, 1990.

B. Derrida, V. Hakim, and J. Vannimenus, Effect of disorder on two-dimensional wetting, Journal of Statistical Physics, vol.8, issue.5-6, pp.1189-1213, 1992.
DOI : 10.1007/BF01054419

B. Derrida, G. Giacomin, H. Lacoin, and F. L. Toninelli, Fractional Moment Bounds and Disorder Relevance for Pinning Models, Communications in Mathematical Physics, vol.18, issue.3, pp.867-887, 2009.
DOI : 10.1142/p504

URL : https://hal.archives-ouvertes.fr/hal-00202700

B. Derrida and M. Retaux, The Depinning Transition in Presence of Disorder: A Toy Model, Journal of Statistical Physics, vol.18, issue.2, pp.268-290, 2014.
DOI : 10.1214/07-AAP496

M. Doi and S. F. Edwards, The theory of Polymer dynamics, 1986.

F. J. Dyson, An Ising ferromagnet with discontinuous long-range order, Communications in Mathematical Physics, vol.8, issue.4, p.269, 1971.
DOI : 10.1103/PhysRevB.1.1522

S. F. Edwards, The statistical mechanics of polymers with excluded volume, Proceedings of the Physical Society, vol.85, issue.4, pp.613-624, 1965.
DOI : 10.1088/0370-1328/85/4/301

B. Essevaz-roulet, U. Bockelmann, and F. Heslot, Mechanical separation of the complementary strands of DNA, Proc. Natl. Acad. Sci. USA, pp.11935-11940, 1997.
DOI : 10.1021/ma00130a008

M. E. Fisher, Effect of Excluded Volume on Phase Transitions in Biopolymers, The Journal of Chemical Physics, vol.25, issue.5, pp.1469-1473, 1966.
DOI : 10.1063/1.1696437

M. E. Fisher, Walks, walls, wetting and melting, J. Stat. Phys, vol.34, pp.684-689, 1984.
DOI : 10.1142/9789813144910_0004

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009.
DOI : 10.1017/CBO9780511801655

URL : https://hal.archives-ouvertes.fr/inria-00072739

P. Flory, Principles of Polymer Chemistry, 1953.

G. Forgacs, J. M. Luck, T. M. Nieuwenhuizen, and H. Orland, Wetting of a Disordered Substrate: Exact Critical Behavior in Two Dimensions, Physical Review Letters, vol.38, issue.17, pp.2184-2187, 1986.
DOI : 10.1016/0375-9601(72)90149-1

G. Forgacs, J. M. Luck, T. M. Nieuwenhuizen, and H. Orland, Exact critical behavior of two-dimensional wetting problems with quenched disorder, Journal of Statistical Physics, vol.27, issue.1-2, pp.29-56, 1988.
DOI : 10.1007/BF01015319

D. M. Gangardt and S. K. Nechaev, Wetting Transition on a One-Dimensional Disorder, Journal of Statistical Physics, vol.17, issue.3, pp.483-502, 2008.
DOI : 10.1016/0378-4371(81)90092-3

URL : https://hal.archives-ouvertes.fr/hal-00202266

T. Garel, D. A. Huse, S. Leibler, and H. Orland, Localization Transition of Random Chains at Interfaces, Europhysics Letters (EPL), vol.8, issue.1, pp.9-13, 1989.
DOI : 10.1209/0295-5075/8/1/002

T. Garel and C. Monthus, Two-dimensional wetting with binary disorder: a numerical study of the loop statistics, The European Physical Journal B, vol.88, issue.1, pp.117-125, 2005.
DOI : 10.1140/epjb/e2005-00241-1

URL : https://hal.archives-ouvertes.fr/hal-00016500

G. Giacomin and F. L. Toninelli, Smoothing Effect of Quenched Disorder on Polymer Depinning Transitions, Communications in Mathematical Physics, vol.46, issue.1, pp.1-16, 2006.
DOI : 10.1007/s100510050016

URL : https://hal.archives-ouvertes.fr/hal-00086238

G. Giacomin and F. L. Toninelli, Smoothing of Depinning Transitions for Directed Polymers with Quenched Disorder, Physical Review Letters, vol.13, issue.7, p.70602, 2006.
DOI : 10.1103/PhysRevLett.86.830

URL : https://hal.archives-ouvertes.fr/hal-00086235

G. Giacomin, Random Polymer models, 2007.
DOI : 10.1142/p504

URL : https://hal.archives-ouvertes.fr/hal-00155080

G. Giacomin and F. L. Toninelli, On the irrelevant disorder regime of pinning models, The Annals of Probability, vol.37, issue.5, pp.1841-1875, 2009.
DOI : 10.1214/09-AOP454

URL : https://hal.archives-ouvertes.fr/hal-00431842

G. Giacomin, H. Lacoin, and F. L. Toninelli, Marginal relevance of disorder for pinning models, Communications on Pure and Applied Mathematics, vol.14, issue.20, pp.233-265, 2010.
DOI : 10.1214/EJP.v14-612

URL : https://hal.archives-ouvertes.fr/hal-00338985

G. Giacomin, H. Lacoin, and F. L. Toninelli, Hierarchical pinning models, quadratic maps and quenched disorder. Prob. Theory Relat, pp.185-216, 2010.
DOI : 10.1007/s00440-009-0205-y

URL : https://hal.archives-ouvertes.fr/hal-00202697

G. Giacomin, H. Lacoin, and F. L. Toninelli, Disorder relevance at marginality and critical point shift. Annales de l'Institut Henri Poincaré -Prob, Stat, vol.47, pp.148-175, 2011.
DOI : 10.1214/10-aihp366

URL : https://hal.archives-ouvertes.fr/hal-00413563

T. Halpin-healy and Y. C. Zhang, Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics, Physics Reports, vol.254, issue.4-6, pp.215-414, 1995.
DOI : 10.1016/0370-1573(94)00087-J

A. B. Harris, Effect of random defects on the critical behaviour of Ising models, Journal of Physics C: Solid State Physics, vol.7, issue.9, pp.1671-1692, 1974.
DOI : 10.1088/0022-3719/7/9/009

K. Jo, A single-molecule barcoding system using nanoslits for DNA analysis, Proceedings of the National Academy of Sciences, vol.285, issue.5433, pp.2673-2678, 2007.
DOI : 10.1126/science.285.5433.1558

Y. Kafri, D. Mukamel, and L. Peliti, Why is the DNA Denaturation Transition First Order?, Physical Review Letters, vol.41, issue.23, pp.4988-4991, 2000.
DOI : 10.1051/jphys:01980004103022300

URL : http://arxiv.org/pdf/cond-mat/0007141

Y. Kafri and D. Mukamel, Griffiths Singularities in Unbinding of Strongly Disordered Polymers, Physical Review Letters, vol.12, issue.5, p.38103, 2003.
DOI : 10.1063/1.3062516

J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics, vol.6, issue.7, pp.1181-1203, 1973.
DOI : 10.1088/0022-3719/6/7/010

URL : http://iopscience.iop.org/article/10.1088/0022-3719/6/7/010/pdf

J. M. Kosterlitz and D. J. Thouless, Early Work on Defect Driven Phase Transitions, International Journal of Modern Physics B, vol.7, issue.30, pp.1-67, 2013.
DOI : 10.1103/PhysRevB.56.340

URL : http://www.worldscientific.com/doi/pdf/10.1142/S0217979216300188

H. Kunz and R. Livi, DNA denaturation and wetting in the presence of disorder, EPL (Europhysics Letters), vol.99, issue.3, p.30001, 2012.
DOI : 10.1209/0295-5075/99/30001

H. Lacoin and F. L. Toninelli, A Smoothing Inequality for Hierarchical Pinning Models, Prog. Prob, vol.62, pp.271-278, 2009.
DOI : 10.1007/978-3-7643-9891-0_12

URL : https://hal.archives-ouvertes.fr/hal-00483073

H. Lacoin, The Martingale approach to disorder irrelevance for pinning models, Electronic Communications in Probability, vol.15, issue.0, pp.418-427, 2010.
DOI : 10.1214/ECP.v15-1572

H. Lacoin, Hierarchical pinning model with site disorder: disorder is marginally relevant. Prob. Theory Relat, pp.159-175, 2010.
DOI : 10.1007/s00440-009-0226-6

URL : https://hal.archives-ouvertes.fr/hal-00356343

H. Lacoin and G. Moreno, Directed polymers on hierarchical lattices with site disorder, Stochastic Processes and their Applications, vol.120, issue.4, pp.467-493, 2010.
DOI : 10.1016/j.spa.2009.11.008

URL : https://hal.archives-ouvertes.fr/hal-00469503

D. K. Lubensky and D. R. Nelson, Pulling Pinned Polymers and Unzipping DNA, Physical Review Letters, vol.18, issue.7, p.85, 2000.
DOI : 10.1088/0305-4470/18/3/025

URL : http://arxiv.org/pdf/cond-mat/0004423

C. Monthus, On the localization of random heteropolymers at the interface between two selective solvents, The European Physical Journal B, vol.13, issue.1, pp.111-130, 2000.
DOI : 10.1007/s100510050016

URL : https://hal.archives-ouvertes.fr/hal-00003893

C. Monthus, T. Garel, and H. Orland, Copolymer at a selective interface and two-dimensional wetting: a grand canonical approach, The European Physical Journal B, vol.17, issue.1, pp.121-130, 2000.
DOI : 10.1007/PL00011066

URL : https://hal.archives-ouvertes.fr/hal-00003894

C. Monthus and T. Garel, Distribution of pseudo-critical temperatures and lack of self-averaging in disordered Poland-Scheraga models with different loop exponents, The European Physical Journal B, vol.48, issue.3, pp.393-403, 2005.
DOI : 10.1140/epjb/e2005-00417-7

C. Monthus, Random Walks and Polymers in the Presence of Quenched Disorder, Letters in Mathematical Physics, vol.58, issue.4, pp.207-233, 2006.
DOI : 10.1017/CBO9780511605826

C. Monthus and T. Garel, Multifractal statistics of the local order parameter at random critical points: Application to wetting transitions with disorder, Physical Review E, vol.27, issue.2, p.21114, 2007.
DOI : 10.1088/0305-4470/39/22/R01

C. Monthus and T. Garel, Critical points of quadratic renormalizations of random variables and phase transitions of disordered polymer models on diamond lattices, Physical Review E, vol.30, issue.2, p.21132, 2008.
DOI : 10.1088/0305-4470/18/3/025

S. Mukherji and S. M. Bhattacharjee, Failure of the Harris criterion for directed polymers on hierarchical lattices, Physical Review E, vol.31, issue.2, pp.1930-1933, 1995.
DOI : 10.1103/PhysRevA.31.3199

E. Orlandini, M. C. Tesi, and S. G. Whittington, A self-avoiding walk model of random copolymer adsorption, Journal of Physics A: Mathematical and General, vol.32, issue.3, pp.469-477, 1999.
DOI : 10.1088/0305-4470/32/3/004

M. Peyrard and A. R. Bishop, Statistical mechanics of a nonlinear model for DNA denaturation, Physical Review Letters, vol.33, issue.23, p.2755, 1989.
DOI : 10.1103/PhysRevB.33.5676

D. Poland and H. A. Scheraga, Occurrence of a Phase Transition in Nucleic Acid Models, The Journal of Chemical Physics, vol.45, issue.5, pp.1464-1469, 1966.
DOI : 10.2307/1969153

. Reisner, Statics and Dynamics of Single DNA Molecules Confined in Nanochannels, Physical Review Letters, vol.268, issue.19, p.196101, 2005.
DOI : 10.1103/PhysRevE.55.7396

. Reisner, Single-molecule denaturation mapping of DNA in nanofluidic channels, Proceedings of the National Academy of Sciences, vol.8, issue.9, p.13299, 2010.
DOI : 10.1039/b805614e

C. Richard and A. J. Guttmann, Poland???Scheraga Models and the DNA Denaturation Transition, Journal of Statistical Physics, vol.115, issue.3/4, pp.943-965, 2004.
DOI : 10.1023/B:JOSS.0000022370.48118.8b

URL : http://www.esi.ac.at/preprints/esi1305.pdf

Y. G. Sinai, A Random Walk with Random Potential, Theory of Probability & Its Applications, vol.38, issue.2, pp.382-385, 1993.
DOI : 10.1137/1138036

S. B. Smith, L. Finzi, and C. Bustamante, Direct mechanical measurements of the elasticity of single DNA molecules by using magnetic beads, Science, vol.258, issue.5085, pp.1122-1126, 1992.
DOI : 10.1126/science.1439819

S. B. Smith, Y. Cui, and C. Bustamante, Overstretching B-DNA: The Elastic Response of Individual Double-Stranded and Single-Stranded DNA Molecules, Science, vol.271, issue.5250, pp.795-799, 1996.
DOI : 10.1126/science.271.5250.795

T. R. Strick, V. Croquette, and D. Bensimon, Biophysics Homologous pairing in stretched supercoiled DNA, Proc. Natl. Acad. Sci. USA. 95, pp.10579-10583, 1998.
DOI : 10.1073/pnas.95.18.10579

URL : http://www.pnas.org/content/95/18/10579.full.pdf

L. H. Tang and H. Chaté, Rare-Event Induced Binding Transition of Heteropolymers, Physical Review Letters, vol.34, issue.5, pp.830-833, 2001.
DOI : 10.1088/0022-3719/7/6/005

F. L. Toninelli, Critical Properties and Finite-Size Estimates for the Depinning Transition of Directed Random Polymers, Journal of Statistical Physics, vol.37, issue.4-5, pp.1025-1044, 2007.
DOI : 10.1007/s100510050016

F. L. Toninelli, A Replica-Coupling Approach to Disordered Pinning Models, Communications in Mathematical Physics, vol.163, issue.1, pp.389-401, 2008.
DOI : 10.1142/p504

URL : http://arxiv.org/pdf/math-ph/0701063v1.pdf

F. L. Toninelli, Disordered pinning models and copolymers: Beyond annealed bounds, The Annals of Applied Probability, vol.18, issue.4, pp.1569-1587, 2008.
DOI : 10.1214/07-AAP496

URL : http://doi.org/10.1214/07-aap496

F. L. Toninelli, Coarse graining, fractional moments and the critical slope of random copolymers, Electronic Journal of Probability, vol.14, issue.0, pp.531-547, 2009.
DOI : 10.1214/EJP.v14-612

T. Van-erp and M. Peyrard, The dynamics of the DNA denaturation transition, EPL (Europhysics Letters), vol.98, issue.4, p.48004, 2012.
DOI : 10.1209/0295-5075/98/48004

L. Van-hove, Sur L'int??grale de Configuration Pour Les Syst??mes De Particules ?? Une Dimension, Physica, vol.16, issue.2, p.137, 1950.
DOI : 10.1016/0031-8914(50)90072-3

S. G. Whittington, Random copolymers, Physica A: Statistical Mechanics and its Applications, vol.314, issue.1-4, pp.214-219, 2002.
DOI : 10.1016/S0378-4371(02)01055-5

L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, On the long range correlations of thermodynamic systems out of equilibrium. Cond-mat arXiv, pp.705-2996, 2007.

T. Bodineau, B. Derrida, V. Lecomte, and F. Van-wijland, Long Range Correlations and Phase Transitions in??Non-equilibrium Diffusive Systems, Journal of Statistical Physics, vol.42, issue.5???6, pp.1013-1031, 2008.
DOI : 10.1007/978-3-642-84371-6

B. Derrida, E. Domany, and D. Mukamel, An exact solution of a one-dimensional asymmetric exclusion model with open boundaries, Journal of Statistical Physics, vol.54, issue.3-4, p.667, 1992.
DOI : 10.1007/BF01050430

B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, Exact solution of a 1D asymmetric exclusion model using a matrix formulation, Journal of Physics A: Mathematical and General, vol.26, issue.7, p.1493, 1993.
DOI : 10.1088/0305-4470/26/7/011

B. Derrida, S. A. Janowsky, J. L. Lebowitz, and E. R. Speer, Exact solution of the totally asymmetric simple exclusion process: Shock profiles, Journal of Statistical Physics, vol.69, issue.5-6, p.813, 1993.
DOI : 10.1080/17442508908833573

B. Derrida, J. L. Lebowitz, and E. R. Speer, Free Energy Functional for Nonequilibrium Systems: An Exactly Solvable Case, Physical Review Letters, vol.84, issue.15, p.150601, 2001.
DOI : 10.1103/PhysRevLett.84.4882

URL : http://arxiv.org/pdf/cond-mat/0105110

B. Derrida, J. L. Lebowitz, and E. R. Speer, Large deviation of the density profile in the steady state of the open symmetric simple exclusion process, Journal of Statistical Physics, vol.107, issue.3/4, p.599, 2002.
DOI : 10.1023/A:1014555927320

B. Derrida, Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.07, p.7023, 2007.
DOI : 10.1088/1742-5468/2007/07/P07023

B. Derrida, J. L. Lebowitz, and E. R. Speer, Entropy of Open Lattice Systems, Journal of Statistical Physics, vol.115, issue.4-5, p.1083, 2007.
DOI : 10.1007/s10955-006-9160-5

B. Derrida and M. Retaux, Finite Size Corrections to the Large Deviation Function of the Density in the One Dimensional Symmetric Simple Exclusion Process, Journal of Statistical Physics, vol.41, issue.5, pp.824-845, 2013.
DOI : 10.1088/1751-8113/41/50/505001

J. R. Dorfman, T. R. Kirkpatrick, and J. V. Sengers, Generic Long-Range Correlations in Molecular Fluids, Annual Review of Physical Chemistry, vol.45, issue.1, pp.213-239, 1994.
DOI : 10.1146/annurev.pc.45.100194.001241

M. R. Evans, S. N. Majumdar, and R. K. Zia, Factorized steady states in mass transport models, Journal of Physics A: Mathematical and General, vol.37, issue.25, p.275, 2004.
DOI : 10.1088/0305-4470/37/25/L02

URL : http://arxiv.org/pdf/cond-mat/0406524

J. P. Eckmann and L. S. Young, Temperature profiles in Hamiltonian heat conduction, Europhysics Letters (EPL), vol.68, issue.6, p.790, 2004.
DOI : 10.1209/epl/i2004-10291-5

URL : http://arxiv.org/pdf/cond-mat/0401320

J. P. Eckmann and L. S. Young, Nonequilibrium Energy Profiles for a Class of 1-D Models, Communications in Mathematical Physics, vol.262, issue.1, p.237, 2006.
DOI : 10.1007/s00220-005-1462-y

G. Eyink, J. L. Lebowitz, and H. Spohn, Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models, Communications in Mathematical Physics, vol.54, issue.No. 1, pp.253-283, 1990.
DOI : 10.1007/978-1-4613-8514-1

G. Eyink, J. L. Lebowitz, and H. Spohn, Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state, Communications in Mathematical Physics, vol.11, issue.1, pp.119-131, 1991.
DOI : 10.1515/9783110850147

S. Katz, J. Lebowitz, and H. Spohn, Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors, Journal of Statistical Physics, vol.141, issue.3-4, p.497, 1984.
DOI : 10.1007/BF01018556

T. R. Kirkpatrick, E. G. Cohen, and J. R. Dorfman, Fluctuations in a nonequilibrium steady state: Basic equations, Physical Review A, vol.13, issue.2, pp.950-971, 1982.
DOI : 10.1063/1.1692878

S. Lepri, R. Livi, and A. Politi, On the anomalous thermal conductivity of one-dimensional lattices, Europhysics Letters (EPL), vol.43, issue.3, p.271, 1998.
DOI : 10.1209/epl/i1998-00352-3

T. M. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, Grundlehren der mathematischen Wissenschaften, vol.324, 1999.
DOI : 10.1007/978-3-662-03990-8

J. M. Ortiz-de-zarate and J. V. Sengers, On the Physical Origin of Long-Ranged Fluctuations in Fluids in Thermal Nonequilibrium States, Journal of Statistical Physics, vol.115, issue.5/6, pp.1341-1359, 2004.
DOI : 10.1023/B:JOSS.0000028062.57459.52

J. E. Santos and G. M. Schütz, Exact time-dependent correlation functions for the symmetric exclusion process with open boundary, Physical Review E, vol.16, issue.3, p.36107, 2001.
DOI : 10.1088/0022-3719/16/20/009

G. Schütz and E. Domany, Phase transitions in an exactly soluble one-dimensional exclusion process, Journal of Statistical Physics, vol.68, issue.1-2, p.277, 1993.
DOI : 10.1007/BF01048050

H. Spohn, Long range correlations for stochastic lattice gases in a non-equilibrium steady state, Journal of Physics A: Mathematical and General, vol.16, issue.18, pp.4275-4291, 1983.
DOI : 10.1088/0305-4470/16/18/029

H. Spohn, Large Scale Dynamics of Interacting Particles, 1991.
DOI : 10.1007/978-3-642-84371-6

Y. Srebro and D. Levine, Exactly Solvable Model for Driven Dissipative Systems, Physical Review Letters, vol.1, issue.24, p.240601, 2004.
DOI : 10.1016/j.physa.2004.05.032

URL : http://arxiv.org/pdf/cond-mat/0407620

H. Touchette, The large deviation approach to statistical mechanics, Physics Reports, vol.478, issue.1-3, pp.1-69, 2009.
DOI : 10.1016/j.physrep.2009.05.002

URL : http://arxiv.org/pdf/0804.0327

R. 1. Kipnis, C. Olla, S. Varadhan, and S. R. , Hydrodynamics and large deviation for simple exclusion processes, Communications on Pure and Applied Mathematics, vol.118, issue.2, pp.115-137, 1989.
DOI : 10.1080/17442508708833446

L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, Stochastic interacting particle systems out of equilibrium, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.07, p.7014, 2007.
DOI : 10.1088/1742-5468/2007/07/P07014

B. Derrida, Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.07, p.7023, 2007.
DOI : 10.1088/1742-5468/2007/07/P07023

H. Touchette, The large deviation approach to statistical mechanics, Physics Reports, vol.478, issue.1-3, pp.1-69, 2009.
DOI : 10.1016/j.physrep.2009.05.002

URL : http://arxiv.org/pdf/0804.0327

L. Bertini, A. De-sole, D. Gabrielli, ?. Jona, G. Lasinio et al., Fluctuations in Stationary Nonequilibrium States of Irreversible Processes, Physical Review Letters, vol.23, issue.4, p.40601, 2001.
DOI : 10.1214/aop/1176988286

L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, Macroscopic fluctuation theory for stationary non equilibrium states, Journal of Statistical Physics, vol.107, issue.3/4, pp.635-675, 2002.
DOI : 10.1023/A:1014525911391

L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, Large deviations for the boundary driven symmetric simple exclusion process, Mathematical Physics, Analysis and Geometry, vol.6, issue.3, pp.231-267, 2003.
DOI : 10.1023/A:1024967818899

L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, Minimum Dissipation Principle in Stationary Non-Equilibrium States, Journal of Statistical Physics, vol.116, issue.1-4, pp.831-841, 2004.
DOI : 10.1023/B:JOSS.0000037220.57358.94

URL : http://arxiv.org/pdf/cond-mat/0310072

L. Bertini, D. Gabrielli, G. Jona-lasinio, and C. Landim, Thermodynamic Transformations of Nonequilibrium States, Journal of Statistical Physics, vol.130, issue.5, pp.773-802, 2012.
DOI : 10.1007/978-3-642-84371-6

E. Weinar, W. Ren, and E. Vanden-eijnden, Minimum action method for the study of rare events, Commun. Pure Appl. Math, vol.57, pp.637-656, 2004.

L. Bertini, D. Gabrielli, and J. Lebowitz, Large Deviations for a Stochastic Model of Heat Flow, Journal of Statistical Physics, vol.1, issue.5-6, pp.843-885, 2005.
DOI : 10.4310/AJM.1997.v1.n4.a1

B. Derrida, J. L. Lebowitz, and E. R. Speer, Free Energy Functional for Nonequilibrium Systems: An Exactly Solvable Case, Physical Review Letters, vol.84, issue.15, p.150601, 2001.
DOI : 10.1103/PhysRevLett.84.4882

URL : http://arxiv.org/pdf/cond-mat/0105110

B. Derrida, J. L. Lebowitz, and E. R. Speer, Large deviation of the density drofile in the steady state of the symmetric simple exclusion process, Journal of Statistical Physics, vol.107, issue.3/4, pp.599-634, 2002.
DOI : 10.1023/A:1014555927320

B. Derrida, J. L. Lebowitz, and E. R. Speer, Exact Free Energy Functional for a Driven Diffusive Open Stationary Nonequilibrium System, Physical Review Letters, vol.107, issue.3, p.30601, 2002.
DOI : 10.1023/A:1014525911391

URL : http://arxiv.org/pdf/cond-mat/0203161

B. Derrida, J. L. Lebowitz, and E. R. Speer, Exact large deviation functional of a stationary open driven diffusive system: the asymmetric exclusion process, Journal of Statistical Physics, vol.110, issue.3/6, pp.775-810, 2003.
DOI : 10.1023/A:1022111919402

C. Enaud and B. Derrida, Large Deviation Functional of the Weakly Asymmetric Exclusion Process, Journal of Statistical Physics, vol.114, issue.3/4, pp.537-562, 2004.
DOI : 10.1023/B:JOSS.0000012501.43746.cf

URL : https://hal.archives-ouvertes.fr/hal-00000466

F. Van-wijland and Z. Racz, Large Deviations in Weakly Interacting Boundary Driven Lattice Gases, Journal of Statistical Physics, vol.59, issue.1-2, pp.27-54, 2005.
DOI : 10.1007/978-3-662-03752-2

URL : https://hal.archives-ouvertes.fr/hal-00012901

C. Giardinà, J. Kurchan, and L. Peliti, Direct Evaluation of Large-Deviation Functions, Physical Review Letters, vol.96, issue.12, p.120603, 2006.
DOI : 10.1017/CBO9780511623486

V. Lecomte and J. Tailleur, A numerical approach to large deviations in continuous time, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.03, p.3004, 2007.
DOI : 10.1088/1742-5468/2007/03/P03004

URL : https://hal.archives-ouvertes.fr/hal-00134726

C. Giardinà, J. Kurchan, V. Lecomte, and J. Tailleur, Simulating Rare Events in Dynamical Processes, Journal of Statistical Physics, vol.287, issue.4, pp.787-811, 2011.
DOI : 10.1086/421321

G. Bunin, Y. Kafri, and D. Podolsky, Large deviations in boundary-driven systems: Numerical evaluation and effective large-scale behavior, EPL (Europhysics Letters), vol.99, issue.2, p.20002, 2012.
DOI : 10.1209/0295-5075/99/20002

T. R. Kirkpatrick, E. G. Cohen, and J. R. Dorfman, Fluctuations in a nonequilibrium steady state: Basic equations, Physical Review A, vol.13, issue.2, pp.950-971, 1982.
DOI : 10.1063/1.1692878

H. Spohn, Long range correlations for stochastic lattice gases in a non-equilibrium steady state, Journal of Physics A: Mathematical and General, vol.16, issue.18, pp.4275-4291, 1983.
DOI : 10.1088/0305-4470/16/18/029

R. Schmitz and E. G. Cohen, Fluctuations in a fluid under a stationary heat flux. I. General theory, Journal of Statistical Physics, vol.15, issue.3-4, pp.285-316, 1985.
DOI : 10.1016/0378-4371(83)90073-0

J. R. Dorfman, T. R. Kirkpatrick, and J. V. Sengers, Generic Long-Range Correlations in Molecular Fluids, Annual Review of Physical Chemistry, vol.45, issue.1, pp.213-239, 1994.
DOI : 10.1146/annurev.pc.45.100194.001241

J. M. Ortiz-de-zarate and J. V. Sengers, On the Physical Origin of Long-Ranged Fluctuations in Fluids in Thermal Nonequilibrium States, Journal of Statistical Physics, vol.115, issue.5/6, pp.1341-1359, 2004.
DOI : 10.1023/B:JOSS.0000028062.57459.52

B. Derrida, J. L. Lebowitz, and E. R. Speer, Entropy of Open Lattice Systems, Journal of Statistical Physics, vol.115, issue.4-5, pp.1083-1108, 2007.
DOI : 10.1007/s10955-006-9160-5

T. Bodineau, B. Derrida, V. Lecomte, and F. Van-wijland, Long Range Correlations and Phase Transitions in??Non-equilibrium Diffusive Systems, Journal of Statistical Physics, vol.42, issue.5???6, pp.1013-1031, 2008.
DOI : 10.1007/978-3-642-84371-6

L. Bertini, A. De-sole, D. Gabrielli, G. Jona-lasinio, and C. Landim, On the long range correlations of thermodynamic systems out of equilibrium, 2007.

B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, Exact solution of a 1D asymmetric exclusion model using a matrix formulation, Journal of Physics A: Mathematical and General, vol.26, issue.7, pp.1493-1517, 1993.
DOI : 10.1088/0305-4470/26/7/011

R. A. Blythe and M. R. Evans, Nonequilibrium steady states of matrix-product form: a solver's guide, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.46, pp.333-441, 2007.
DOI : 10.1088/1751-8113/40/46/R01

L. Bertini, A. D. Gabrielli, G. Jona-lasinio, and C. Landim, Thermodynamic Transformations of Nonequilibrium States, Journal of Statistical Physics, vol.130, issue.5, pp.773-802, 2012.
DOI : 10.1007/978-3-642-84371-6

F. Spitzer, Interaction of Markov processes, Advances in Mathematics, vol.5, issue.2, pp.246-290, 1970.
DOI : 10.1016/0001-8708(70)90034-4

G. Eyink, J. L. Lebowitz, and H. Spohn, Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models, Communications in Mathematical Physics, vol.54, issue.No. 1, pp.253-283, 1990.
DOI : 10.1007/978-1-4613-8514-1

G. Eyink, J. L. Lebowitz, and H. Spohn, Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state, Communications in Mathematical Physics, vol.11, issue.1, pp.119-131, 1991.
DOI : 10.1515/9783110850147

H. Spohn, Large Scale Dynamics of Interacting Particles, 1991.
DOI : 10.1007/978-3-642-84371-6

T. M. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes, Grundlehren der mathematischen Wissenschaften, 1999.
DOI : 10.1007/978-3-662-03990-8

C. Kipnis and C. Landim, Scaling Limits of Interacting Particle Systems, 1999.
DOI : 10.1007/978-3-662-03752-2

J. L. Lebowitz and J. K. Percus, Statistical Thermodynamics of Nonuniform Fluids, Journal of Mathematical Physics, vol.17, issue.1, pp.116-123, 1963.
DOI : 10.1103/PhysRev.110.1

C. Appert-rolland, B. Derrida, V. Lecomte, and F. Van-wijland, Universal cumulants of the current in diffusive systems on a ring, Physical Review E, vol.2006, issue.2, p.21122, 2008.
DOI : 10.1088/1742-5468/2006/12/P12011

URL : https://hal.archives-ouvertes.fr/hal-00273794

A. Imparato, V. Lecomte, and F. Van-wijland, Equilibriumlike fluctuations in some boundary-driven open diffusive systems, Physical Review E, vol.80, issue.1, p.11131, 2009.
DOI : 10.1088/0305-4470/9/9/008

URL : https://hal.archives-ouvertes.fr/hal-00374584

G. Carinci, C. Giardinà, C. Giberti, and F. Redig, Duality for Stochastic Models of Transport, Journal of Statistical Physics, vol.16, issue.1
DOI : 10.1088/0305-4470/16/18/029

L. Bertini, A. De-sole, D. Gabrielli, ?. Jona, G. Lasinio et al., Lagrangian phase transitions in nonequilibrium thermodynamic systems, Journal of Statistical Mechanics: Theory and Experiment, vol.2010, issue.11, p.11001, 2010.
DOI : 10.1088/1742-5468/2010/11/L11001

URL : http://iopscience.iop.org/article/10.1088/1742-5468/2010/11/L11001/pdf

G. Bunin, Y. Kafri, and D. Podolsky, Cusp Singularities in Boundary-Driven Diffusive Systems, Journal of Statistical Physics, vol.41, issue.2
DOI : 10.1088/1751-8113/41/50/505001

URL : http://arxiv.org/pdf/1301.1708

G. Bunin, Y. Kafri, and D. Podolsky, Non-differentiable large-deviation functionals in boundary-driven diffusive systems, Journal of Statistical Mechanics: Theory and Experiment, vol.2012, issue.10, p.10001, 2012.
DOI : 10.1088/1742-5468/2012/10/L10001

URL : http://iopscience.iop.org/article/10.1088/1742-5468/2012/10/L10001/pdf

J. Tailleur, J. Kurchan, and V. Lecomte, Mapping out-of-equilibrium into equilibrium in one-dimensional transport models, Journal of Physics A: Mathematical and Theoretical, vol.41, issue.50, p.505001, 2008.
DOI : 10.1088/1751-8113/41/50/505001