Non-Equilibrium Critical Behavior: An Extended Irreversible Thermodynamics Approach

Non-Equilibrium Critical Behavior: An Extended Irreversible Thermodynamics Approach Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the usual theoretical tools. Experimental studies include light and inelastic neutron scattering, X-ray photon correlation spectroscopy, microwave interferometry and several other techniques. Nevertheless, no conclusive treatment has been developed from the basic principles of a thermodynamic theory of irreversible processes. We have developed a formalism in which we obtain correlation functions as field averages of the associated functions. By applying such formalism, we attempt to find out whether the resulting correlation functions will inherit the mathematical properties (integrability, generalized homogeneity, scaling laws) of its parent potentials , and we also use these correlation functions to study the behavior of macroscopic systems far from equilibrium , especially in the neighborhood of critical points or dynamic phase transitions. As a working example, we will consider the mono-critical behavior of a non-equilibrium binary fluid mixture close to its consolute point. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Non-Equilibrium Thermodynamics de Gruyter

Non-Equilibrium Critical Behavior: An Extended Irreversible Thermodynamics Approach

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Publisher
de Gruyter
Copyright
© Walter de Gruyter
Subject
Original Papers
ISSN
0340-0204
DOI
10.1515/JNETDY.2006.017
Publisher site
See Article on Publisher Site

Abstract

Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the usual theoretical tools. Experimental studies include light and inelastic neutron scattering, X-ray photon correlation spectroscopy, microwave interferometry and several other techniques. Nevertheless, no conclusive treatment has been developed from the basic principles of a thermodynamic theory of irreversible processes. We have developed a formalism in which we obtain correlation functions as field averages of the associated functions. By applying such formalism, we attempt to find out whether the resulting correlation functions will inherit the mathematical properties (integrability, generalized homogeneity, scaling laws) of its parent potentials , and we also use these correlation functions to study the behavior of macroscopic systems far from equilibrium , especially in the neighborhood of critical points or dynamic phase transitions. As a working example, we will consider the mono-critical behavior of a non-equilibrium binary fluid mixture close to its consolute point.

Journal

Journal of Non-Equilibrium Thermodynamicsde Gruyter

Published: Nov 1, 2006

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