Statistical Physics

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This book is essentially based on the lecture course on “Statistical Physics”, that was taught by the author at the physical faculty of the Ural State University in Ekaterinburg since 1992. This course was intended for all physics students, not especially for those specializing in theoretical physics. In this sense the material presented here contains the necessary minimum of knowledge of statistical physics (also often called statisti- cal mechanics), which is in the author’s opinion necessary for every person wishing to obtain a general education in the ¥eld of physics. This posed the rather di1cult prob- lem of the choice of material and appropriately compact presentation. At the same time, it necessarily should contain all the basic principles of statistical physics, as well as its main applications to various physical problems, mainly from the ¥eld of the theory of condensed matter. Extended version of these lectures were published in Russian in 2003. For the present English edition, some of the material was rewritten, and several new sections and paragraphs were added, bringing the contents more up to date and adding more discussion on some more di1cult cases. Of course, the au- thor was much inÉuenced by several classical books on statistical physics [19, 20, 37], and this inÉuence is obvious in many parts of the text. However, the choice of material and the form of presentation is essentially his own. Still, most attention is devoted to rather traditional problems and models of statistical physics. One of the few excep- tions is an attempt to present an elementary and short introduction to the modern quantum theoretical methods of statistical physics at the end of the book. Also, a lit- tle bit more attention than usual is given to the problems of nonequilibrium statistical mechanics. Some of the more special paragraphs, of more interest to future theorists, aredenotedbyasterisksormovedtotheappendices.Ofcourse,thisbookistooshortto give a complete presentation of modern statistical physics. Those interested in further developments should address more fundamental monographs and modern physical literature. The second edition of this book has been expanded with boxes presenting brief summaries of the lives and achievements of the major founders and contributors to the field of “Statistical Physics”. The biographical details complement the scientific content of the book and contextualize the discoveries within the framework of global researchinTheoreticalPhysics.Inmypersonalopinion,thisinformationcanbeuseful for readers and lecturers alike.

Author(s): Michael V. Sadovskii
Series: Texts and Monographs in Theoretical Physics
Edition: 2
Publisher: De Gruyter
Year: 2019

Language: English
Pages: 319

Cover......Page 1
Statistical Physics
......Page 5
© 2019......Page 6
Preface......Page 7
Contents
......Page 9
1 Basic principles of statistics......Page 13
2 Gibbs distribution......Page 57
3 Classical ideal gas......Page 75
4 Quantum ideal gases......Page 91
5 Condensed matter......Page 119
6 Superconductivity......Page 153
7 Fluctuations......Page 183
8 Phase transitions and critical phenomena......Page 195
9 Linear response......Page 223
10 Kinetic equations......Page 239
11 Basics of the modern theory of many-particle
systems......Page 255
A.
Motion in phase space, ergodicity and mixing......Page 279
B.
Statistical mechanics and information theory......Page 291
C.
Nonequilibrium statistical operators......Page 303
Bibliography......Page 311
Index......Page 313
Back Cover......Page 319