Search results for "Thermodynamic potential"

showing 4 items of 14 documents

Thermodynamic potentials for the infinite range Ising model with strong coupling

2003

Abstract The specific Gibbs free energy has been calculated for the infinite range Ising model with fixed and finite interaction strength. The model shows a temperature driven first-order phase transition that differs from the infinite ranged Ising model with weak coupling. In the temperature-field phase diagram the strong coupling model shows a line of first-order phase transitions that does not end in a critical point.

Statistics and ProbabilityPhysicsPhase transitionCondensed matter physicsMean field theoryCritical point (thermodynamics)Critical phenomenaSquare-lattice Ising modelIsing modelCondensed Matter PhysicsPhase diagramThermodynamic potentialPhysica A: Statistical Mechanics and its Applications
researchProduct

Thermodynamic formalism and linear response theory for non-equilibrium steady states

2016

We study the linear response in systems driven away from thermal equilibrium into a nonequilibrium steady state with nonvanishing entropy production rate. A simple derivation of a general response formula is presented under the condition that the generating function describes a transformation that (to lowest order) preserves normalization and thus describes a physical stochastic process. For Markov processes we explicitly construct the conjugate quantities and discuss their relation with known response formulas. Emphasis is put on the formal analogy with thermodynamic potentials and some consequences are discussed.

Thermal equilibriumNormalization (statistics)Statistical Mechanics (cond-mat.stat-mech)Stochastic processEntropy productionMarkov processNon-equilibrium thermodynamicsFOS: Physical sciences01 natural sciences010305 fluids & plasmasThermodynamic potentialsymbols.namesake0103 physical sciencessymbolsStatistical physics010306 general physicsLinear response theoryCondensed Matter - Statistical MechanicsMathematics
researchProduct

Gibbs equation in the nonlinear nonequilibrium thermodynamics of dilute nonviscous gases

2003

AbstractThis paper deals with the derivation of the Gibbs equation for a nonviscous gas in the presence of heat flux. The analysis aims to shed some light on the physical interpretation of thermodynamic potentials far from equilibrium. Two different definitions for the chemical potential and thermodynamic pressure far from equilibrium are introduced: nonequilibrium chemical potential and nonequilibrium thermodynamic pressure at constant heat flux q and nonequilibrium chemical potential and nonequilibrium thermodynamic pressure at constant J = Vq, where V is the specific volume.

Thermodynamic stateThermodynamic equilibriumApplied MathematicsNonequilibrium thermodynamic potentialsThermodynamicsThermodynamic databases for pure substancesNonequilibrium thermodynamicsThermodynamic equationsThermodynamic systemExtended thermodynamicsThermodynamic potentialsymbols.namesakeGibbs equationGibbs–Helmholtz equationsymbolsKinetic theoryMathematicsThermodynamic processApplied Mathematics Letters
researchProduct

Thermodynamics: Classical Framework

2016

This chapter starts with a summary of the thermodynamic potentials and the relationships between them which are obtained from Legendre transformation. This is followed by an excursion to some important global properties of materials such as specific heat, expansion coefficients and others. The thermodynamic relations provide the basis for a discussion of continuous changes of state which are illustrated by the Joule-Thomson effect and the Van der Waals gas. These are models which are more realistic than the ideal gas. The discussion of Carnot cycles leads to and illustrates the second and third laws of thermodynamics. The chapter closes with a discussion of entropy as a concave function of …

symbols.namesakeEntropy (classical thermodynamics)Fundamental thermodynamic relationOn the Equilibrium of Heterogeneous SubstancessymbolsNon-equilibrium thermodynamicsStatistical physicsCarnot cycleThermodynamic systemLaws of thermodynamicsThermodynamic potentialMathematics
researchProduct