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Lyapounov functions in extended irreversible thermodynamics
Physics Letters A, 1982Abstract Working in the context of extended irreversible thermodynamics, Lyapounov's functions, generalizing Glansdorff-Prigogine's δ 2 S expression, are formulated. New consequences are derived.
G. Lebon, M.S. Boukary
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Journal of Statistical Physics, 1983
The relationship between fluctuating irreversible thermodynamics and theories of irreversible processes which include the thermodynamic fluxes as independent variables is explored. It is shown that the usual fluctuating linear theory of irreversible thermodynamics is a contraction of the extended theory.
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The relationship between fluctuating irreversible thermodynamics and theories of irreversible processes which include the thermodynamic fluxes as independent variables is explored. It is shown that the usual fluctuating linear theory of irreversible thermodynamics is a contraction of the extended theory.
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Extended irreversible thermodynamics of heat conduction
European Journal of Physics, 1988The authors present in a simple and illustrative way the main points of extended irreversible thermodynamics as applied to heat conduction. A comparison with kinetic theory is carried out.
D Jou, J Casas-Vazquez
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Extended Irreversible Thermodynamics: Statements and Prospects
2005Extended irreversible thermodynamics has known a wide development during the two last decades. In this work, the main statements of the theory are reviewed and a panoramic view of some of the open problems to be studied in the future years is presented.
G. Lebon, D. Jou, J. Casas-Váquez
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Hydrodynamical fluctuations in extended irreversible thermodynamics
Physica A: Statistical Mechanics and its Applications, 1980Abstract Starting from the generalized Gibbs equation of extended irreversible thermodynamics, we define a thermodynamic potential that provides a suitable description of the fluctuations of the hydrodynamical dissipative fluxes when it is used in an expression analogous to the classical Einstein formula for the probability of fluctuations.
D. Jou, J.M. Rubi, J. Casas-Vazquez
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Fluctuation theory and extended irreversible thermodynamics
Physica A: Statistical Mechanics and its Applications, 1989Abstract The moments of the fluctuations of dissipative fluxes are used to obtain explicit expressions for the coefficients of a generalized entropy which depends on heat flux and viscous pressure. The results are applied to quantum ideal gases and to classical dilute nonideal gases.
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On the Closure Assumption in Extended Irreversible Thermodynamics
Journal of Non-Equilibrium Thermodynamics, 1989A new macroscopic aspect of one of the postulates of extended irreversible thermodynamics is discussed. The role of parameters in the construction of the generalized entropy production is illustrated for the uniform shear flow of a dilute gas. Comparison with earlier work is made and some implications of the new assumption are mentioned.
Rodríguez, R. F., de Haro, M. L.
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Some views on extended irreversible thermodynamics
Acta Physica Hungarica, 1989A brief and concise analysis is presented on the main ideas behind the several efforts made in the past ten years to extend irreversible thermodynamics beyond its linear domain. The Wave Approach to Thermodynamics developed by I. Gyarmati in this context is shown to be a consequence of nonequilibrium statistical mechanics, at least for spatially ...
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Extended irreversible thermodynamics of gene regulation
Journal of Non-Newtonian Fluid Mechanics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetry transformations in extended irreversible thermodynamics
Journal of Mathematical Physics, 2001In this paper we consider symmetry transformations that preserve the first law and the second law of thermodynamics, as well as the pseudo-Riemannian structure of the Legendre manifold defined in terms of the second derivative matrix of the entropy function in extended irreversible thermodynamics.
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