Abstract
The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in steady states or going through a relaxation process. Namely, we derive the linear response to perturbations of the noise intensity, mapping it onto the quadratic response to a constant small force. The latter, displaying divergent terms, is explicitly regularised with a novel path-integral method. The nonequilibrium equivalents of heat capacity and thermal expansion coefficient are two applications of this approach, as we show with numerical examples.
Highlights
The determination of response functions is arguably one of the most topical issues in statistical physics
For a system slightly driven off equilibrium, the Kubo formula gives the linear response of an observable in terms of the equilibrium time-correlation between the observable itself and the entropy produced by the perturbation
These efforts culminated in the discovery of the algebraic decay in time of the correlation functions entering Kubo formulas [11,12,13], which prevents the existence of transport coefficients in low dimensions
Summary
Any further distribution of The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond this work must maintain entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in attribution to the author(s) and the title of steady states or going through a relaxation process. We derive the linear response to the work, journal citation and DOI. Perturbations of the noise intensity, mapping it onto the quadratic response to a constant small force. The latter, displaying divergent terms, is explicitly regularised with a novel path-integral method.
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