Exact computation of heat capacities for active particles on a graph

Abstract

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.

14 pages, 8 figures

References in corpus (5)

• Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
• A Nernst heat theorem for nonequilibrium jump processes
• Trees and forests for nonequilibrium purposes: an introduction to graphical representations
• The vanishing of excess heat for nonequilibrium processes reaching zero ambient temperature
• Matrices of Forests and the Analysis of Digraphs

Cited by in corpus (8)

• A Nernst heat theorem for nonequilibrium jump processes
• Calorimetry for active systems
• Trees and forests for nonequilibrium purposes: an introduction to graphical representations
• The vanishing of excess heat for nonequilibrium processes reaching zero ambient temperature
• Drazin-Inverse and heat capacity for driven random walks on the ring
• Local detailed balance for active particle models
• Close-to-equilibrium heat capacity
• Negative specific heats: where Clausius and Boltzmann entropies separate