Franklin

Statistical Mechanics : An Introductory Graduate Course / by A. J. Berlinsky, A. B. Harris.

Author/Creator:
Berlinsky, A. J. author., Author,
Publication:
Cham : Springer International Publishing : Imprint: Springer, 2019.
Format/Description:
Book
1 online resource (XXI, 602 pages) : 169 illustrations, 28 illustrations in color.
Edition:
1st ed. 2019.
Series:
Physics and Astronomy (Springer-11651)
Graduate texts in physics 1868-4513
Graduate Texts in Physics, 1868-4513
Contained In:
Springer eBooks
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Details

Subjects:
Statistical physics.
Thermodynamics.
Heat engineering.
Heat -- Transmission.
Mass transfer.
Quantum theory.
Local subjects:
Statistical Physics and Dynamical Systems. (search)
Engineering Thermodynamics, Heat and Mass Transfer. (search)
Thermodynamics. (search)
Quantum Physics. (search)
System Details:
text file PDF
Summary:
In a comprehensive treatment of Statistical Mechanics from thermodynamics through the renormalization group, this book serves as the core text for a full-year graduate course in statistical mechanics at either the Masters or Ph.D. level. Each chapter contains numerous exercises, and several chapters treat special topics which can be used as the basis for student projects. The concept of scaling is introduced early and used extensively throughout the text. At the heart of the book is an extensive treatment of mean field theory, from the simplest decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory as well as exact solutions on the Cayley tree. Proceeding beyond mean field theory, the book discusses exact mappings involving Potts models, percolation, self-avoiding walks and quenched randomness, connecting various athermal and thermal models. Computational methods such as series expansions and Monte Carlo simulations are discussed, along with exact solutions to the 1D quantum and 2D classical Ising models. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatment of Wilson's epsilon expansion. Finally the subject of Kosterlitz-Thouless systems is introduced from a historical perspective and then treated by methods due to Anderson, Kosterlitz, Thouless and Young. Altogether, this comprehensive, up-to-date, and engaging text offers an ideal package for advanced undergraduate or graduate courses or for use in self study.
Contents:
I Preliminaries
Introduction
Phase Diagrams
Thermodynamic Properties and Relations
II Basic Formalism
Basic Principles
Examples
Basic Principles (Continued)
Noninteracting Gases
III Mean Field Theory, Landau Theory
Mean-Field Approximation for the Free Energy
Density Matrix Mean-Field Theory and Landau Expansions
Landau Theory for Two or More Order Parameters
Quantum Fluids
Theory of Superconductivity
Qualitative Discussion of Fluctuations
The Cayley Tree
IV Beyond Mean Field Theory
Exact Mappings
Series Expansions
The Ising Model: Exact Solutions
Monte Carlo
Real Space Renormalization Group
The Epsilon Expansion
Kosterlitz-Thouless Physics.
Contributor:
Harris, A. B. author., Author,
SpringerLink (Online service)
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Printed edition:
Printed edition:
Printed edition:
ISBN:
978-3-030-28187-8
9783030281878
Publisher Number:
10.1007/978-3-030-28187-8 doi
Access Restriction:
Restricted for use by site license.