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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics
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Advanced Statistical Mechanics (Hardcover)
Loot Price: R1,713
Discovery Miles 17 130
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Advanced Statistical Mechanics (Hardcover)
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This short textbook covers roughly 13 weeks of lectures on advanced
statistical mechanics at the graduate level. It starts with an
elementary introduction to the theory of ensembles from classical
mechanics, and then goes on to quantum statistical mechanics with
density matrix. These topics are covered concisely and briefly. The
advanced topics cover the mean-field theory for phase transitions,
the Ising models and their exact solutions, and critical phenomena
and their scaling theory. The mean-field theories are discussed
thoroughly with several different perspectives - focusing on a
single degree, or using Feynman-Jensen-Bogoliubov inequality,
cavity method, or Landau theory. The renormalization group theory
is mentioned only briefly. As examples of computational and
numerical approach, there is a chapter on Monte Carlo method
including the cluster algorithms. The second half of the book
studies nonequilibrium statistical mechanics, which includes the
Brownian motion, the Langevin and Fokker-Planck equations,
Boltzmann equation, linear response theory, and the Jarzynski
equality. The book ends with a brief discussion of irreversibility.
The topics are supplemented by problem sets (with partial answers)
and supplementary readings up to the current research, such as heat
transport with a Fokker-Planck approach.
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