Close-to-equilibrium heat capacity
arXiv:2307.11551 · doi:10.1088/1751-8121/ad3ef2
Abstract
Close to equilibrium, the excess heat governs the static fluctuations. We study the heat capacity in that McLennan regime, i.e., in linear order around equilibrium, using an expression in terms of the average energy that extends the equilibrium formula in the canonical ensemble. It is derivable from an entropy and it always vanishes at zero temperature. Any violation of an extended Third Law is, therefore, a nonlinear effect.
References in corpus (12)
- Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
- An expression for stationary distribution in nonequilibrium steady state
- Representation of nonequilibrium steady states in large mechanical systems
- A Nernst heat theorem for nonequilibrium jump processes
- Calorimetry for active systems
- Trees and forests for nonequilibrium purposes: an introduction to graphical representations
- Exact computation of heat capacities for active particles on a graph
- The vanishing of excess heat for nonequilibrium processes reaching zero ambient temperature
- Integrable heat conduction model
- On the Poisson equation for nonreversible Markov jump processes
- Specific heat of a driven lattice gas
- Drazin-Inverse and heat capacity for driven random walks on the ring