Introduction to Mathematical Statistical Physics is popular PDF and ePub book, written by Robert Adolʹfovich Minlos in 2000, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Mathematical Statistical Physics can be Read Online from any device for your convenience.
Introduction to Mathematical Statistical Physics Book PDF Summary
This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.
Detail Book of Introduction to Mathematical Statistical Physics PDF
- Author : Robert Adolʹfovich Minlos
- Release : 03 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821813379
- Genre : Mathematics
- Total Page : 114 pages
- Language : English
- PDF File Size : 15,9 Mb
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