Topics In Statistical Mechanics

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A01=Brian Cowan
Author_Brian Cowan
Category=PHS
Dissipation
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eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Fluctuations
Interactions
Irreversibility
Kinetic Theory
Phase Transitions
Statistical Mechanics
Thermodynamics

Product details

  • ISBN 9781786349903
  • Publication Date: 10 Aug 2021
  • Publisher: World Scientific Europe Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.

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