Work fluctuations for a Brownian particle between two thermostats
Paolo Visco
TL;DR
This paper derives the large deviation function for energy flow in a Brownian particle connected to two heat baths, clarifying initial condition effects and the limits of the Fluctuation Relation's applicability.
Contribution
It explicitly computes the large deviation function for a Brownian particle between two thermostats, highlighting initial condition influences and validity constraints of the Fluctuation Relation.
Findings
Explicit large deviation function derived
Initial conditions influence large deviation behavior
Restrictions on Fluctuation Relation validity identified
Abstract
We explicitly determine the large deviation function of the energy flow of a Brownian particle coupled to two heat baths at different temperatures. This toy model, initially introduced by Derrida and Brunet [B. Derrida and E. Brunet, in "Einstein aujourd'hui", EDP Sciences, 2005], allows not only to sort out the influence of initial conditions on large deviation functions but also to pinpoint various restrictions bearing upon the range of validity of the Fluctuation Relation.
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