Universal ideal behavior and macroscopic work relation of linear irreversible stochastic thermodynamics

3Citations
Citations of this article
12Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We revisit the Ornstein-Uhlenbeck (OU) process as the fundamental mathematical description of linear irreversible phenomena, with fluctuations, near an equilibrium. By identifying the underlying circulating dynamics in a stationary process as the natural generalization of classical conservative mechanics, a bridge between a family of OU processes with equilibrium fluctuations and thermodynamics is established through the celebrated Helmholtz theorem. The Helmholtz theorem provides an emergent macroscopic 'equation of state' of the entire system, which exhibits a universal ideal thermodynamic behavior. Fluctuating macroscopic quantities are studied from the stochastic thermodynamic point of view and a non-equilibrium work relation is obtained in the macroscopic picture, which may facilitate experimental study and application of the equalities due to Jarzynski, Crooks, and Hatano and Sasa.

Cite

CITATION STYLE

APA

Ma, Y. A., & Qian, H. (2015). Universal ideal behavior and macroscopic work relation of linear irreversible stochastic thermodynamics. New Journal of Physics, 17(6). https://doi.org/10.1088/1367-2630/17/6/065013

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free