The McLennan–Zubarev steady state distribution and fluctuation theorems

Mitsusada M. Sano

Physica A: Statistical Mechanics and its Applications, 2017, vol. 473, issue C, 603-619

Abstract: The McLennan–Zubarev steady state distribution is studied in the connection with fluctuation theorems. We derive the McLennan–Zubarev steady state distribution from the nonequilibrium detailed balance relation. Then, considering the cumulant function or cumulant functional, two fluctuation theorems for entropy and for currents are proved. Using the fluctuation theorem for currents, the current is expanded in terms of thermodynamic forces. In the lowest order of the thermodynamic force, we find that the transport coefficient satisfies the Onsager’s reciprocal relation. In the next order, we derived the correction term to the Green–Kubo formula.

Keywords: Nonequilibrium steady state; McLennan–Zubarev steady state distribution; Fluctuation theorems (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:473:y:2017:i:c:p:603-619

DOI: 10.1016/j.physa.2017.01.049

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