Statistical Mechanics: Fundamentals and Model Solutions,Statistical Mechanics: Fundamentals and Model Solutions is a textbook on equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics. |
Contents
The First | 7 |
Differentials | 15 |
Thermal Engines and Refrigerators | 23 |
Copyright | |
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Common terms and phrases
³He assume atoms boson called cell chapter compute consider constant convex function corresponding defined denote derive differential distribution function eigenvalues electrons energy density energy levels entropy entropy density equilibrium example exists fact Fermi fermion ferromagnetism Figure finite follows formula free energy density g(xo given by equation grand potential graph Hamiltonian helium hence ideal gas law independent int(A integral interaction internal energy Ising model large-deviation lattice Legendre transform Lemma lim inf lim sup liquid low temperatures magnetic field matrix microstates molecules Note number of particles obtain operator paramagnetic parameters phase diagram phase transition phonons potential pressure Proof prove quantum mechanics quasi-static radiation random variables rate function refrigerator satisfies the LDP sequence specific heat spin statistical mechanics Theorem theory thermal thermodynamic limit v₁ values vapour volume zero др