Work

A Jarzynski-type equality for nonequilibrium steady-state probabilities

Year: 2024
Type: preprint
Abstract: We show that steady-state probabilities of a nonequilibrium Markovian system can be reconstructed from a weighted ensemble average of finite-time loop-erased paths. Each path $Γ$ is weighted by $e^{-S(Γ)}$, where $S(Γ)$ can be interpreted either as the action functional or as the entropy change in the surrounding reservoirs. In doing so, we uncover a Jarzynski-type equality for nonequilibrium steady states. We also reveal that the probabilities of loop-erased paths obey strong thermodynamic symmetry relations.
Institution: Harvard University
Language: English
Open Access status: green
OpenAlex ID: W4403571185
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