Generalized Statistical Thermodynamics (eBook, PDF)

Generalized Statistical Thermodynamics (eBook, PDF)

Thermodynamics of Probability Distributions and Stochastic Processes

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This book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs's notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics.The first part of the book develops the theory for discrete and continuous distributions while the second part ...

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