Statistical Physics: A Probabilistic ApproachOffers a new, probabilistic approach to statistical mechanics by incorporating Bose-Einstein and Fermi-Dirac statistics. Includes Boltzmann's principle, black-body radiation, quantum statistics, conjugate distributions, statistical equivalence, and the kinetic foundation of Gauss' principle. |
Contents
Prologue | 1 |
Origins of the Canonical Distribution | 5 |
7 | 33 |
Copyright | |
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Common terms and phrases
average energy average number average value B.H. Lavenda black radiation Boltzmann's principle Bose-Einstein statistics canonical cells chemical potential coefficient composite system concave function condition conjugate consider constant convexity degrees-of-freedom derived deviations differential E₁ Einstein emission ensemble equal equation equipartition equivalent error law estimate exponential family expression extensive extensive quantity Fermi-Dirac frequency interval gamma density Gauss Gibbs Gibbs-Duhem relation given grand-canonical heat ideal gas independent inequality integral intensive variables Introducing inverse temperature law of error Legendre transform limit logarithm maximum likelihood mechanical molecules N₁ N₂ negative binomial distribution number of particles obtain oscillators parameter particle number partition function phase space photons physical Planck Poisson distribution pressure priori probabilities probability density probability distribution probable value processes quantity quantum random variable second law Stirling's approximation stochastic entropy subsystems subvolume theorem theory thermodynamic total number uncertainty relations V₁ volume wavelength Wien Wien's