Exact computation of heat capacities for active particles on a graph
Faezeh Khodabandehlou, Simon Krekels, Irene Maes
Abstract
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.
Topics & Concepts
Non-equilibrium thermodynamicsQuasistatic processComputationStatistical physicsGraphJumpMarkov chainWork (physics)Markov processMatrix (chemical analysis)Jump processRandom walkMathematicsThermodynamicsPhysicsCombinatoricsMaterials scienceAlgorithmQuantum mechanicsComposite materialStatisticsAdvanced Thermodynamics and Statistical Mechanicsthermodynamics and calorimetric analysesQuantum Electrodynamics and Casimir Effect