000 02197 a2200229 4500
003 OSt
020 _a9783030281861
040 _cIIT Kanpur
041 _aeng
082 _a530.13
_bB455s
100 _aBerlinsky, A. J.
245 _aStatistical mechanics
_cA. J. Berlinsky and A. B. Harris
_ban introductory graduate course
260 _bSpringer Nature
_c2019
_aSwitzerland
300 _axxi, 602p
440 _aGraduate texts in physics
490 _a/ edited by Kurt H. Becker ...[et al.]
520 _aIn a comprehensive treatment of Statistical Mechanics from thermodynamics through the renormalization group, this book serves as the core text for a full-year graduate course in statistical mechanics at either the Masters or Ph.D. level. Each chapter contains numerous exercises, and several chapters treat special topics which can be used as the basis for student projects. The concept of scaling is introduced early and used extensively throughout the text. At the heart of the book is an extensive treatment of mean field theory, from the simplest decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory as well as exact solutions on the Cayley tree. Proceeding beyond mean field theory, the book discusses exact mappings involving Potts models, percolation, self-avoiding walks and quenched randomness, connecting various athermal and thermal models. Computational methods such as series expansions and Monte Carlo simulations are discussed, along with exact solutions to the 1D quantum and 2D classical Ising models. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatment of Wilson’s epsilon expansion. Finally the subject of Kosterlitz-Thouless systems is introduced from a historical perspective and then treated by methods due to Anderson, Kosterlitz, Thouless and Young. Altogether, this comprehensive, up-to-date, and engaging text offers an ideal package for advanced undergraduate or graduate courses or for use in self study.
650 _aStatistical mechanics
650 _aMass transfer
700 _aHarris, A. B.
942 _cBK
999 _c564963
_d564963