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Mathematical Problems of Statistical Mechanics Collection of Papers (Advanced Series in Nonlinear Dynamics) by Ya. G. Sinai

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Published by World Scientific Pub Co Inc .
Written in English

Subjects:

  • Statistical physics,
  • Theoretical methods,
  • Mechanics - General,
  • Science,
  • Science/Mathematics

Book details:

The Physical Object
FormatPaperback
Number of Pages364
ID Numbers
Open LibraryOL13167492M
ISBN 109810205538
ISBN 109789810205539

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Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in. Mar 05,  · Throughout the book the author develops the statistical theory of mechanics using an axiomatic approach and tries to invoke as few assumptions as possible. If you like the language of mathematics, this is the most elegant and concise book on classical equilibrium statistical mechanics/5(9). Jan 09,  · Problems on Statistical Mechanics provides over problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation 5/5(1). Jan 05,  · There have been many developments in mathematical statistical mechanics since this book was published, particularly in the area of exactly solved models in statistical mechanics and vertex models. This book could be used as an introduction to these developments, in spite of the fact that the mathematics used in them is not covered in this book. Only very rudimentary mathematical tools Cited by:

Problems on Statistical Mechanics provides over problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation. This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion principle, and in mathematics through multivariate calculus. (Section also assumes that you can can diagonalize a 2 2 matrix.). Of course after that, there are lots. Schroedinger's lecture notes on Statistical Thermodynamics are a clearly thought out gem of pedagogy, it was really his forte. And you don't need to finish the book either. Khinchin's monograph on Mathematical Foundations of Statistical Mechanics . Lecture Notes in Statistical Mechanics and Mesoscopics. This lecture note covers the following topics: Thermal Equilibrium, Systems with interactions, Fluctuations and Response, System interacting with a bath, introduction to master equations, non-equilibrium processes, fluctuation theorems, linear response theory, adiabatic transport, Kubo formalism and the scattering approach to mesoscopics.

Mathematical Foundations of Statistical Mechanics. translated by G. Gamow () New York: Dover ISBN ter Haar, Dirk (). Elements of statistical mechanics. London: Constable. 2e () New York: Holt, Rinehart & Winston 3e () Oxford: Butterworth-Heinemann ISBN Huang, Kerson (). Statistical mechanics. New York: Wiley. Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. Well respected and widely used, this volume presents problems and full solutions related to a wide range of topics in thermodynamics, statistical physics, and statistical mechanics. The text is intended for instructors, undergraduates, and graduate students of mathematics, physics, . However, with some effort, one can gain a great deal of insight into the mathematics behind statistical mechanics. The book is filled with proofs and theorems and is a great resource for mathematicians. For a physicist, however important these foundations are, the connexions between the proofs and the end result 4/5.