Titlebook: Statistical Mechanics; A Concise Advanced T Sergio Cecotti Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclusive l

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书目名称Statistical Mechanics影响因子(影响力)




书目名称Statistical Mechanics影响因子(影响力)学科排名




书目名称Statistical Mechanics网络公开度




书目名称Statistical Mechanics网络公开度学科排名




书目名称Statistical Mechanics被引频次




书目名称Statistical Mechanics被引频次学科排名




书目名称Statistical Mechanics年度引用




书目名称Statistical Mechanics年度引用学科排名




书目名称Statistical Mechanics读者反馈




书目名称Statistical Mechanics读者反馈学科排名

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Equilibrium Ensemblesfunctions, associated thermodynamical potentials, probability distributions, and thermodynamic limits. We discuss how the partition functions of the diverse ensembles are related by a web of Laplace transforms, and how these transforms reduce in the thermodynamic limit to Legendre transforms between

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Non-interacting Quantum Systems reviewing the Spin and Statistics theorem and its implications for quantum thermal physics, then we use techniques from Representation Theory to write down the Grand potential for arbitrary systems of non-interacting bosons and, respectively, fermions. We study the . functions and the allied Fermi/

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Phase Transitions and Lattice Systemsetical laboratory is the Ising model in diverse dimensions. After discussing a few generalities on phase transitions, we present the Yang-Lee theory and the Peierls argument for the existence of spontaneous magnetization at low temperature. We introduce the formalism of the . and use it to character

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Frustrated and Quenched Systemsresent the Sherrington-Kirkpatrick (SK) model, deduce the naive solution with unbroken replica symmetry, and then outline Parisi’s exact solution of the SK model with broken replica symmetry and a functional order parameter.

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Thermodynamical Formalismceptibilities (response functions) are expressed as derivatives of the thermodynamical potentials and connected via the Maxwell relations. In the last section we reproduce Boltzmann’s thermodynamic proof of the Stefan law as a testament of the “unreasonable effectiveness” of Thermodynamics in Physics.

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Textbook 2024tionally talented mathematics students. The book‘s intended audience shapes its character. It introduces Statistical Mechanics from the ground up, offering a fully self-contained presentation that aims for mathematical precision. It distinguishes rigorous results from controlled approximations and p

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