Search results for "Maximum entropy thermodynamics"

showing 3 items of 3 documents

Thermodynamics based on the principle of least abbreviated action: Entropy production in a network of coupled oscillators

2006

We present some novel thermodynamic ideas based on the Maupertuis principle. By considering Hamiltonians written in terms of appropriate action-angle variables we show that thermal states can be characterized by the action variables and by their evolution in time when the system is nonintegrable. We propose dynamical definitions for the equilibrium temperature and entropy as well as an expression for the nonequilibrium entropy valid for isolated systems with many degrees of freedom. This entropy is shown to increase in the relaxation to equilibrium of macroscopic systems with short-range interactions, which constitutes a dynamical justification of the Second Law of Thermodynamics. Several e…

PhysicsStatistical Mechanics (cond-mat.stat-mech)Entropy productionmedia_common.quotation_subjectConfiguration entropyMaximum entropy thermodynamicsFOS: Physical sciencesGeneral Physics and AstronomyNon-equilibrium thermodynamicsThermodynamicsSecond law of thermodynamicsEntropy in thermodynamics and information theoryEntropy (classical thermodynamics)Classical mechanicsStatistical physicsCondensed Matter - Statistical MechanicsJoint quantum entropymedia_commonAnnals of Physics
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Entropy flux in non-equilibrium thermodynamics

2004

Abstract An important problem in thermodynamics is the link between the entropy flux and the heat flux, for phenomena far from equilibrium. As an illustration we consider here the case of a rigid heat conductor subject to heating. The expression of the entropy flux is determined by the expressions of the evolution equations of the basic variables. It is shown that the coefficient relating entropy and heat fluxes differs far from equilibrium from the inverse of the non-equilibrium temperature θ . The particular case in which these two quantities are identical is examined in detail. A simple but intuitive physical illustration of the results is proposed. A comparison with information theory i…

Statistics and ProbabilityPhysicsEntropy (classical thermodynamics)Heat fluxH-theoremConfiguration entropyMaximum entropy thermodynamicsNon-equilibrium thermodynamicsStatistical physicsEntropy in thermodynamics and information theoryCondensed Matter PhysicsLaws of thermodynamicsPhysica A: Statistical Mechanics and its Applications
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Geometric Entropies of Mixing (EOM)

2005

Trigonometric and trigonometric-algebraic entropies are introduced. Regularity increases the entropy and the maximal entropy is shown to result when a regular $n$-gon is inscribed in a circle. A regular $n$-gon circumscribing a circle gives the largest entropy reduction, or the smallest change in entropy from the state of maximum entropy which occurs in the asymptotic infinite $n$ limit. EOM are shown to correspond to minimum perimeter and maximum area in the theory of convex bodies, and can be used in the prediction of new inequalities for convex sets. These expressions are shown to be related to the phase functions obtained from the WKB approximation for Bessel and Hermite functions.

Statistics and ProbabilityStatistical Mechanics (cond-mat.stat-mech)Principle of maximum entropyConfiguration entropyMathematical analysisMaximum entropy thermodynamicsMin entropyFOS: Physical sciencesStatistical and Nonlinear PhysicsComputer Science::Computational GeometryQuantum relative entropyMaximum entropy probability distributionMathematics::Metric GeometryMathematical PhysicsEntropy rateJoint quantum entropyCondensed Matter - Statistical MechanicsMathematics
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