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Fluctuation-Dissipation Relations in the absence of Detailed Balance: formalism and applications to Active Matter

# metadata.dc.description.abstract[].value
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.

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International School for Advanced Studies (SISSA) and IOP Publishing (IOP)

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Journal of Statistical Mechanics: Theory and Experiment, 2021, vol. 4, p. 043201

# metadata.dc.rights[].value
(c) IOP Publishing Ltd and SISSA Medialab srl, 2021

# metadata.dc.source[].value
Articles publicats en revistes (Física de la Matèria Condensada)

# metadata.dc.title[].value
Fluctuation-Dissipation Relations in the absence of Detailed Balance: formalism and applications to Active Matter