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Baur, H.; Wunderlich, Bernhard

doi:10.1023/a:1010126005720

Cited by 32 publications

(24 citation statements)

References 27 publications

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“…In spite of this fact, there is a net increase in entropy in a cycle, which induces an entropy flux to outside. The imaginary part of the complex heat capacity is interpreted as either the net entropy flux during one cycle, or the entropy produced in a cycle S cy [13,14,15,16,17,18,19,20,21]. These two interpretations are not independent from each other because the net entropy flux and net entropy production are equal in the dynamic steady state.…”

Section: Introductionmentioning

confidence: 99%

Complex heat capacity and entropy production of temperature modulated systems

Oliveira¹

2019

J. Stat. Mech.

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Non-equilibrium systems under temperature modulation are investigated in the light of the stochastic thermodynamics. We show that, for small amplitudes of the temperature oscillations, the heat flux behaves sinusoidally with time, a result that allows the definition of the complex heat capacity. The real part of the complex heat capacity is the dynamic heat capacity, and its imaginary part is shown to be proportional to the rate of entropy production. We also show that the poles of the complex heat capacity are equal to imaginary unit multiplied by the eigenvalues of the unperturbed evolution operator, and are all located in the lower half plane of the complex frequency, assuring that the Kramers-Kronig relations are obeyed. We have also carried out an exact calculation of the complex heat capacity of a harmonic solid and determined the dispersion relation of the dynamic heat capacity and of the rate of entropy production.

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Section: Introductionmentioning

confidence: 99%

Complex heat capacity and entropy production of temperature modulated systems

Oliveira¹

2019

J. Stat. Mech.

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“…The investigation of systems under oscillating temperature has been reported in several works [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], which provides a way of measuring the heat capacity experimentally. Here we intend to verify the nonequilibrium properties of a chain of two interacting particles under time oscillating temperatures.…”

Section: B Oscillating Temperaturesmentioning

confidence: 99%

Entropy production and heat transport in harmonic chains under time-dependent periodic drivings

2020

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Using stochastic thermodynamics, the properties of interacting linear chains subject to periodic drivings are investigated. The systems are described by Fokker-Planck-Kramers equation and exact (explicit) solutions are obtained for periodic drivings as functions of the modulation frequency and strength constants. The limit of long chains is analyzed by means of a protocol in which the intermediate temperatures are self-consistently chosen and the entropy production is decomposed as a sum of two individual contributions, one coming from real baths (placed at extremities of lattice) and other from self-consistent baths. The thermal reservoirs lead to a heat flux according to Fourier's law. Explicit expressions for short chains are derived, whose entropy production is written down as a bilinear function of thermodynamic forces and the associated fluxes, from which Onsager coefficients have been evaluated. A comparison between distinct periodic drivings is also performed.

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“…In two recent publications dating from 1998, Baur and Wunderlich used the previous thermodynamic approach of De Donder-Prigogine-Defay in order to directly derive the formula of the complex heat capacity [87,88]. In their article, they used this thermodynamic approach with the purpose of seeing whether the notion of complex heat capacity is meaningful in TMDSC measurements.…”

Section: Generalized Calorimetric Susceptibilitymentioning

confidence: 99%

“…In 1998, using macroscopic non-equilibrium thermodynamics of De Donder, Prigogine and Defay, Baur and Wunderlich derived for the first time in calorimetry (TMDSC) the wellknown formula of the complex heat capacity [87,88]. This treatment is also described in the recent book of Wunderlich [99].…”

Section: Generalized Calorimetric Susceptibility Of Baur and Wunderlichmentioning

confidence: 99%