Statistical Mechanics

Fundamentals and Model Solutions,

Teunis C. Dorlas (Autor)

Buch | Hardcover

273 Seiten

1999
Institute of Physics Publishing (Verlag)
978-0-7503-0540-2 (ISBN)

Infos

This textbook on equilibrium statistical mechanics sets out basic assumptions and emphasizes the importance of the thermodynamic limit and the role of convexity. The role of models for physical systems is also explained and various models are discussed and solved.

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Statistical Mechanics: Fundamentals and Model Solutions is a textbook on equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics.

Inhalt

THERMODYNAMICS
The Zeroth law
The First law
Differentials
The Second law
Thermal engines and refrigerators
The fundamental equation
Convexity
Thermodynamic potentials
Phase transitions
Magnetism
The refrigerator and liquifaction of gases
Examples of phase transitions
Equations of state for solids
Applications in chemistry
Black-body radiation
The Big Bang
The constitution of stars
Problems

FUNDAMENTALS OF STATISTICAL MECHANICS
Quantum mechanics
Noninteracting localized spins
Large deviation theory
The paramagnet revisited
Identical localized free particles
Quantum gases
Ensembles
Existence of thermodynamic limit
Large deviations for the energy density
Problems

MODELS IN STATISTICAL MECHANICS
A simple model for rubber
A Ising model
The mean-field Weiss-Ising model
The mean-field lattice gas
Metals and the electron gas
White dwarf stars
Phonons
Boson condensation and liquid helium
Superconductivity
Problems

APPENDICES
FURTHER READING AND REFERENCES
ANSWERS TO THE PROBLEMS
INDEX

Produkt-Details

• Erscheint lt. Verlag: 1.1.1999
• Verlagsort: London
• Sprache: englisch
• Gewicht: 522 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• ISBN-10: 0-7503-0540-1 / 0750305401
• ISBN-13: 978-0-7503-0540-2 / 9780750305402
• Zustand: Neuware