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

Author

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  • Khodabandehlou, Faezeh
  • Maes, Irene

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.

Suggested Citation

  • Khodabandehlou, Faezeh & Maes, Irene, 2023. "Drazin-inverse and heat capacity for driven random walkers on the ring," Stochastic Processes and their Applications, Elsevier, vol. 164(C), pages 337-356.
    • Handle: RePEc:eee:spapps:v:164:y:2023:i:c:p:337-356
    DOI: 10.1016/j.spa.2023.07.011
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