Statistical Mechanics

Statistical Mechanics
Author: David Ruelle
Publisher: World Scientific
Total Pages: 240
Release: 1999
Genre: Science
ISBN: 9789810238629

This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of the spectacular developments of statistical mechanics in the second half of the 20th century.

Statistical Mechanics: Rigorous Results

Statistical Mechanics: Rigorous Results
Author: David Ruelle
Publisher: World Scientific
Total Pages: 236
Release: 1999-04-14
Genre: Science
ISBN: 981449500X

This classic book marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. Its treatment of the infinite system limit has not been superseded, and the discussion of thermodynamic functions and states remains basic for more recent work. The conceptual foundation provided by the Rigorous Results remains invaluable for the study of the spectacular developments of statistical mechanics in the second half of the 20th century.

Statistical Mechanics of Lattice Systems

Statistical Mechanics of Lattice Systems
Author: Sacha Friedli
Publisher: Cambridge University Press
Total Pages: 643
Release: 2017-11-23
Genre: Mathematics
ISBN: 1107184827

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Mathematical Foundations of Statistical Mechanics

Mathematical Foundations of Statistical Mechanics
Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
Total Pages: 212
Release: 1949-01-01
Genre: Mathematics
ISBN: 9780486601472

Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

Statistical Physics of Particles

Statistical Physics of Particles
Author: Mehran Kardar
Publisher: Cambridge University Press
Total Pages: 211
Release: 2007-06-07
Genre: Science
ISBN: 1139464876

Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.

Thermodynamics and Statistical Mechanics

Thermodynamics and Statistical Mechanics
Author: M. Scott Shell
Publisher: Cambridge University Press
Total Pages: 499
Release: 2015-04-16
Genre: Science
ISBN: 1107014530

Learn classical thermodynamics alongside statistical mechanics and how macroscopic and microscopic ideas interweave with this fresh approach to the subjects.