Volume 139, Number 3, August 2022
|Number of page(s)||4|
|Section||Statistical physics and networks|
|Published online||05 August 2022|
Fluctuation-dissipation theorem with Loewner time
Department of Correlative Study in Physics and Chemistry, Graduate School of Integrated Basic Sciences, Nihon University - Setagaya, Tokyo 156-8550, Japan
Received: 6 February 2022
Accepted: 22 June 2022
Although the fluctuation-dissipation theorem (FDT) is recognized as a general result of statistical physics, its applicability to the non-equilibrium and nonlinear system has not been completely clarified. In this study, we observe that introducing a new type of time coordinate determined by the stochastic Loewner evolution enables the conversion of a certain class of nonlinear Langevin equations into linear ones. The formulation using Loewner time yields a linear response function for the nonlinear systems under a small perturbation. The proposed approach is expected to provide an extension of the conventional FDT in a form applicable to a wide class of non-equilibrium dynamics.
© 2022 The author(s)
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