Entropy production and heat capacity of systems under time-dependent oscillating temperature

Abstract

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic equilibrium inducing a continuous generation of entropy. The systems evolve in time according to a Fokker-Planck or to a Fokker-Planck-Kramers equation. Solutions of these equations, for the case of harmonic forces, are found exactly from which the heat flux, the production of entropy and the dynamic heat capacity are obtained as functions of the frequency of the temperature modulation. These last two quantities are shown to be related to the real an imaginary parts of the complex heat capacity.

arXiv comment7 pages, 4 figures

References in corpus (11)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Three Faces of the Second Law: II. Fokker-Planck Formulation
• Entropy production in full phase space for continuous stochastic dynamics
• Stochastic approach to equilibrium and nonequilibrium thermodynamics
• Heat capacity in nonequilibrium steady states
• Macroscopic non-equilibrium thermodynamics in dynamic calorimetry
• Nonequilibrium temperature response for stochastic overdamped systems
• Quantifying the validity and breakdown of the overdamped approximation in stochastic thermodynamics: Theory and experiment
• Stochastic Thermodynamics Across Scales: Emergent Inter-attractoral Discrete Markov Jump Process and Its Underlying Continuous Diffusion
• Nonequilibrium heat capacity
• Entropy production in continuous phase space systems

Cited by in corpus (8)

• Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
• Entropy production and heat transport in harmonic chains under time dependent periodic drivings
• Oscillating states of periodically driven anharmonic Langevin systems
• Nonequilibrium thermodynamics of uncertain stochastic processes
• Periodically Driven Harmonic Langevin Systems
• Oscillating states of driven Langevin systems in large viscous regime
• Understanding temperature modulated calorimetry through studies of a model system
• Thermodynamics of nonequilibrium systems with uncertain parameters