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Predictive Statistical Mechanics: A Nonequilibrium Ensemble Formalism
TLDR
In this article, Maxent-Nesom-based Kinetic Theory is used for dissipative processes in open systems and nonequilibrium generalized grand-canonical ensembles.Abstract:
List of Figures. List of Tables. Preface. Acknowledgments. Prolegomena. Introduction. 1. Maxent-Nesom in Equilibrium Conditions. 2. Maxent-Nesom for Dissipative Processes in Open Systems. 3. Nonequilibrium Generalized Grand-Canonical Ensemble. 4. Maxent-Nesom-Based Kinetic Theory. 5. Response Function Theory. 6. Theory and Experiment. 7. Informational Statistical Thermodynamics. 8. Final Remarks. Appendices. Bibliography. Index. Name Index.read more
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Temperature in non-equilibrium states: a review of open problems and current proposals
TL;DR: In this paper, the conceptual problems arising in the definition and measurement of temperature in non-equilibrium states are discussed in situations where the local equilibrium hypothesis is no longer satisfactory, and a wide review of proposals is offered on effective nonequilibrium temperatures and their application to ideal and real gases, electromagnetic radiation, nuclear collisions, granular systems, glasses, sheared fluids, amorphous semiconductors and turbulent fluids.
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Principles of maximum entropy and maximum caliber in statistical physics
TL;DR: The variational principles called maximum entropy (MaxEnt) and maximum caliber (MaxCal) are reviewed in this paper, and the different historical justifications for the entropy $S = \ensuremath{-}\ensurem{-} √ √ p √ i √ log √ ǫ(p) √ I √ n) and its corresponding variational principle are reviewed.
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Rapid solidification as non-ergodic phenomenon
TL;DR: In this paper, a general view on non-ergodic fast transitions and a simple description of a continuum theory based on the system of hyperbolic equations applicable to rapid solidification are presented.
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Mesoscopic transport equations and contemporary thermodynamics: an introduction
David Jou,Liliana Restuccia +1 more
TL;DR: The local equilibrium hypothesis is a very successful basis for non-equilibrium thermodynamics over a wide range of phenomena and physical situations as mentioned in this paper, however, the increasing interest in small systems in nanotechnology, in rarefied gases in high-altitude aeronautics, or the search for new materials with sophisticated internal microstructures and tailored thermal properties have led one to ask about the limits of validity of this hypothesis, and to go beyond it.
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An Optimization Principle for Deriving Nonequilibrium Statistical Models of Hamiltonian Dynamics
TL;DR: In this article, a general method for deriving closed reduced models of Hamiltonian dynamical systems is developed using techniques from optimization and statistical estimation, where a cost function is constructed to quantify the lack-of-fit to the microscopic dynamics of any feasible path of densities from the statistical model; it is an ensemble-averaged, weighted, squared-norm of the residual that results from submitting the path of density to the Liouville equation.