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Relativity (Physics). --- Thermodynamic potentials.

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This monograph provides a general introduction to advanced computational methods for free energy calculations, from the systematic and rigorous point of view of applied mathematics. Free energy calculations in molecular dynamics have become an outstanding and increasingly broad computational field in physics, chemistry and molecular biology within the past few years, by making possible the analysis of complex molecular systems. This work proposes a new, general and rigorous presentation, intended both for practitioners interested in a mathematical treatment, and for applied mathematicians inte

Gibbs' free energy. --- Statistical physics --- Physics --- Mathematical statistics --- Free energy, Gibbs' --- Free enthalpy --- Gibbs' function --- Enthalpy --- Entropy --- Surface energy --- Thermodynamic potentials --- Mathematical models. --- Statistical methods

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This book deals with theoretical thermodynamics and the statistical physics of electron and particle gases. While treating the laws of thermodynamics from both classical and quantum theoretical viewpoints, it posits that the basis of the statistical theory of macroscopic properties of a system is the microcanonical distribution of isolated systems, from which all canonical distributions stem. To calculate the free energy, the Gibbs method is applied to ideal and non-ideal gases, and also to a crystalline solid. Considerable attention is paid to the Fermi-Dirac and Bose-Einstein quantum statistics and its application to different quantum gases, and electron gas in both metals and semiconductors is considered in a nonequilibrium state. A separate chapter treats the statistical theory of thermodynamic properties of an electron gas in a quantizing magnetic field.

Electron gas -- Electric properties. --- Gibbs' free energy. --- Statistical physics. --- Thermodynamics. --- Electron gas --- Gibbs' free energy --- Statistical physics --- Thermodynamics --- Physics --- Atomic Physics --- Physical Sciences & Mathematics --- Electron gas. --- Free energy, Gibbs' --- Free enthalpy --- Gibbs' function --- Fermi gas --- Statistical methods --- Physics. --- Quantum physics. --- Dynamical systems. --- Mathematical Methods in Physics. --- Quantum Physics. --- Statistical Physics, Dynamical Systems and Complexity. --- Mathematical statistics --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat --- Heat-engines --- Quantum theory --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Enthalpy --- Entropy --- Surface energy --- Thermodynamic potentials --- Electrons --- Mathematical physics. --- Quantum theory. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Physical mathematics