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The notion of a nonequilibrium heat capacity is important for bio-energetics and for calorimetry of active materials more generally. It centers around the notion of excess heat or excess work dissipated during a quasistatic relaxation between different nonequilibrium conditions. We give exact results for active random walks moving in an energy landscape on a graph, based on calculations employing the matrix-tree and matrix-forest theorems. That graphical method applies to any Markov jump process under the physical condition of local detailed balance, and is not restricted to the examples given in this paper.
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This page is a summary of: Exact computation of heat capacities for active particles on a graph, Journal of Statistical Mechanics Theory and Experiment, December 2022, Institute of Physics Publishing,
DOI: 10.1088/1742-5468/aca4c5.
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