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Title: | Fluctuation-Dissipation Relations in the absence of Detailed Balance: formalism and applications to Active Matter |
Author: | Dal Cengio, Sara Levis, Demian Pagonabarraga Mora, Ignacio |
Keywords: | Fluctuacions (Física) Matèria condensada tova Mecànica estadística Fluctuations (Physics) Soft condensed matter Statistical mechanics |
Issue Date: | 7-Jan-2021 |
Publisher: | International School for Advanced Studies (SISSA) and IOP Publishing (IOP) |
Abstract: | We present a comprehensive study about the relationship between the way Detailed Balance is broken in non-equilibrium systems and the resulting violations of the Fluctuation-Dissipation Theorem. Starting from stochastic dynamics with both odd and even variables under Time-Reversal, we exploit the relation between entropy production and the breakdown of Detailed Balance to establish general constraints on the non-equilibrium steady-states (NESS), which relate the non-equilibrium character of the dynamics with symmetry properties of the NESS distribution. This provides a direct route to derive extended Fluctuation-Dissipation Relations, expressing the linear response function in terms of NESS correlations. Such framework provides a unified way to understand the departure from equilibrium of active systems and its linear response. We then consider two paradigmatic models of interacting self-propelled particles, namely Active Brownian Particles (ABP) and Active Ornstein-Uhlenbeck Particles (AOUP). We analyze the non-equilibrium character of these systems (also within a Markov and a Chapman-Enskog approximation) and derive extended Fluctuation-Dissipation Relations for them, clarifying which features of these active model systems are genuinely non-equilibrium. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1088/1742-5468/abee22 |
It is part of: | Journal of Statistical Mechanics: Theory and Experiment, 2021, vol. 4, p. 043201 |
URI: | http://hdl.handle.net/2445/184759 |
Related resource: | https://doi.org/10.1088/1742-5468/abee22 |
ISSN: | 1742-5468 |
Appears in Collections: | Articles publicats en revistes (Institut de Recerca en Sistemes Complexos (UBICS)) Articles publicats en revistes (Física de la Matèria Condensada) Publicacions de projectes de recerca finançats per la UE |
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719751.pdf | 1.64 MB | Adobe PDF | View/Open |
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