000 02177nam a2200181 a 4500
020 _a9780691082196
020 _a0691082197
082 _a530.13
_bTHO
100 _aThompson, Colin J.
245 _aMathematical Statistical Mechanics
260 _aNew Jersey:
_bPrinceton University Press,
_c1972.
300 _aix, 278 pages :
_billustrations ;
500 _aIncludes Bibliography & Index
505 _aKinetic theory -- Thermodynamics -- The Gibbs ensembles and the thermodynamic limit -- Phase transitions and critical points -- The Ising model: algebraic approach -- The Ising model: combinatorial approach -- Some applications of the Ising model to biology -- Appendixes: A. Measure-theoretic statement of Liouville's theorem -- B. Ergodic theory and the microcanonical ensemble -- C. Lebowitz-Penrose theorem for magnetic systems -- D. Algebraic derivation of the partition function for a two-dimensional Ising model -- E. Combinatorial solution of the Dimer and Ising problems in two dimensions.
520 _aWhile most introductions to statistical mechanics are either too mathematical or too physical, Colin Thompson's book combines mathematical rigor with familiar physical materials. Following introductory chapters on kinetic theory, thermodynamics, the Gibbs ensembles, and the thermodynamic limit, later chapters discuss the classical theories of phase transitions, the Ising model, algebraic methods and combinatorial methods for solving the two-dimensional model in zero field, and some applications of the Ising model to biology. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
650 _aMathematical physics.
942 _cBK
999 _c37997
_d37997