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Article overview
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Fluctuation-Dissipation Relations in the absence of Detailed Balance: formalism and applications to Active Matter | Sara Dal Cengio
; Demian Levis
; Ignacio Pagonabarraga
; | Date: |
14 Jul 2020 | 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. | Source: | arXiv, 2007.7322 | Services: | Forum | Review | PDF | Favorites |
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