Test of Steady-State Fluctuation Theorem on Heat Flux Fluctuation

Abstract

Abstract: The research on fluctuation theorem is a topic of general interest in statistical physics, and it is of great importance and practical significance to verify the steady-state fluctuation theorem and investigate the applicable range of the parameters. In this article, we study three kinds of typical one-dimensional lattices models coupled with Langevin heat reservoirs at different temperature on both ends to carefully verify the steady-state fluctuation theorem. Numerical results show that all of the heat flux of three kinds of models strictly obey the steady-state fluctuation theorem when in the limit that the measure time window goes to infinity. The deviation of fluctuation theorem rising with the increase of the system size under the case of finite measure time window is found as well. There is a scaling change on different size of systems which can be good to rescale into a universal dependency. The nonlinear deviation of the fluctuation relation is also studied in this article.

Key words: steady-state fluctuation theorem, one-dimensional lattices model, nonlinear, scaling law

CLC Number:

O414.22

BI Mingyang, ZHAO Hong. Test of Steady-State Fluctuation Theorem on Heat Flux Fluctuation[J]. Journal of Qujing Normal University, 2022, 41(6): 25-31.

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