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.

7 pages, 4 figures

References in corpus (2)

• Stochastic approach to equilibrium and nonequilibrium thermodynamics
• Macroscopic non-equilibrium thermodynamics in dynamic calorimetry

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• Nonequilibrium thermodynamics of uncertain stochastic processes
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• 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