Multiscale Thermodynamics
نویسندگان
چکیده
منابع مشابه
Geometry of Multiscale Nonequilibrium Thermodynamics
The time evolution of macroscopic systems can be experimentally observed and mathematically described on many different levels of description. It has been conjectured that the governing equations on all levels are particular realizations of a single abstract equation. We support this conjecture by interpreting the abstract equation as a geometrical formulation of general nonequilibrium thermody...
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This work extends the results of a recently developed theory of a rather complete thermodynamic formalism for discrete-state, continuous-time Markov processes with and without detailed balance. We investigate whether and in what way the thermodynamic structure is invariant in a multiscale stochastic system, that is, whether the relations between thermodynamic functions of state and process vari...
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Heat transfer is investigated on three levels of description: Fourier, Cattaneo, and Peierls. The microscopic nature of the heat that becomes important, in particular in nanoscale systems, is characterized by a vector field related to the heat flux on the Cattaneo level and by the phonon distribution function on the Peierls level. All dynamical theories discussed in the paper are fully nonlinea...
متن کاملGENERIC guide to the multiscale dynamics and thermodynamics
GENERIC is an abstract equation collecting themathematical structure guaranteeing agreement of its solutionswith results of certain basic experimental observations (conservations ofmass and energy and the approach to equilibrium atwhich the classical equilibrium thermodynamics applies). In the unifying framework provided byGENERICwe present recent developments and open challenges in the fundame...
متن کاملGENERIC guide to the multiscale dynamics and thermodynamics
GENERIC is an abstract equation collecting themathematical structure guaranteeing agreement of its solutionswith results of certain basic experimental observations (conservations ofmass and energy and the approach to equilibrium atwhich the classical equilibrium thermodynamics applies). In the unifying framework provided byGENERICwe present recent developments and open challenges in the fundame...
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ژورنال
عنوان ژورنال: Entropy
سال: 2021
ISSN: 1099-4300
DOI: 10.3390/e23020165