Drazin-inverse and heat capacity for driven random walkers on the ring

Faezeh Khodabandehlou and Irene Maes

Stochastic Processes and their Applications, 2023, vol. 164, issue C, 337-356

Abstract: We apply single and double tree-like representations of Markov jump processes on ZN for obtaining their nonequilibrium heat capacity and for taking the diffusion limit N↑∞. The main tool is a graphical representation of the Drazin-inverse of the backward generator. In that way, the combination of algebraic and graph-theoretical approaches enables an exact computation of an important nonequilibrium quantity (excess heat) for Markov jump processes.

Keywords: Pseudo-inverse; Quasipotential; Nonequilibrium heat capacity (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:164:y:2023:i:c:p:337-356

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DOI: 10.1016/j.spa.2023.07.011

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