# Nonequilibrium stationary states of rotor and oscillator chains

Abstract : We study the properties of stationary states associated with nonequilibrium dynamics from a theoretical and a numerical point of view. These dynamics are obtained by perturbing equilibrium dynamics with mechanical and / or thermal forcings. In the theoretical approach, the system considered evolves according to a Langevin dynamics perturbed by a torque. In this framework, we study the convergence of the law of dynamics to the stationary measure, giving quantitative estimates of the exponential rate, both in the Hamiltonian and  overdamped '' regimes.By a numerical approach, we consider a chain of rotors subjected to both forcings and a chain of Toda oscillators subject to a thermal forcing and a stochastic perturbation. We study the features of the stationary state and analyze its transport properties. In particular, in the case of the rotor chain, contrary to what is naively expected, we observe that the average energy current is in some cases increased by an opposite temperature gradient.
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### Citation

Alessandra Iacobucci. Nonequilibrium stationary states of rotor and oscillator chains. General Mathematics [math.GM]. Université Paris sciences et lettres, 2017. English. ⟨NNT : 2017PSLED040⟩. ⟨tel-01792503⟩

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