Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume 2021, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/abffd4
Keywords
active matter; correlation functions; stochastic particle dynamics
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Funding
- MIUR PRIN [201798CZLJ]
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Generalized fluctuation-dissipation relations are derived for a general stochastic dynamics, including both equilibrium models for passive colloids and non-equilibrium models for active particles. These relations are simpler as they rely only on microscopic knowledge of dynamics, rather than the entire steady-state probability distribution function.
We derive generalized fluctuation-dissipation relations (FDR) holding for a general stochastic dynamics that includes as subcases both equilibrium models for passive colloids and non-equilibrium models used to describe active particles. The relations reported here differ from previous formulations of the FDR because of their simplicity: they require only the microscopic knowledge of the dynamics instead of the whole expression of the steady-state probability distribution function that, except for linear interactions, is unknown for systems displaying non-vanishing currents. From the response function, we can extrapolate generalized versions of the mesoscopic virial equation and the equipartition theorem, which still holds far from equilibrium. Our results are tested in the case of equilibrium colloids described by underdamped or overdamped Langevin equations and for models describing the non-equilibrium behavior of active particles. Both the active Brownian particle and the active Ornstein-Uhlenbeck particle models are compared in the case of a single particle confined in an external potential.
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