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Dynamics and correlations of driven diffusive systems

Abstract : We investigate the collective effects and the correlations in both single-file systems and out-of-equilibrium bidimensional systems. Single-file systems are quasi-one-dimensional and display anomalous subdiffusion due to strong spatial correlations that we characterize in a lattice model. We first use a vacancy-based approach exact at high density that enables us to derive the N-tag probability law, and to uncover remarkable cooperativity and competition effects between biased intruders. We then derive hydrodynamic equations for the large-scale density field and unveil an unbinding transition for two intruders driven in opposite directions. An extension of this method gives us the full one-tag probability law in various limits. We also investigate the pair correlations in two out-of-equilibrium bidimensional systems: a driven binary mixture composed of two species forced towards opposite directions, and an assembly of active Brownian particles which self-propel with angular noise. Our framework builds upon the linearization of an exact stochastic equation for the density field and is valid for weak interactions. Our main result is the characterization of the spatial structure of the correlations. For both systems it shows intriguing scaling forms associated with a power-law decay of the correlations.
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https://tel.archives-ouvertes.fr/tel-03094377
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Submitted on : Monday, September 6, 2021 - 4:53:10 PM
Last modification on : Tuesday, September 7, 2021 - 3:26:28 AM

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  • HAL Id : tel-03094377, version 2

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Alexis Poncet. Dynamics and correlations of driven diffusive systems. Physics [physics]. Sorbonne Université, 2020. English. ⟨NNT : 2020SORUS172⟩. ⟨tel-03094377v2⟩

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