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Statistical Mechanics in a Nutshell

Luca Peliti

EPUB
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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein

Beschreibung

A concise introduction to statistical mechanics

Statistical mechanics is one of the most exciting areas of physics today, and it also has applications to subjects as diverse as economics, social behavior, algorithmic theory, and evolutionary biology. Statistical Mechanics in a Nutshell offers the most concise, self-contained introduction to this rapidly developing field. Requiring only a background in elementary calculus and elementary mechanics, this book starts with the basics, introduces the most important developments in classical statistical mechanics over the last thirty years, and guides readers to the very threshold of today's cutting-edge research.

Statistical Mechanics in a Nutshell zeroes in on the most relevant and promising advances in the field, including the theory of phase transitions, generalized Brownian motion and stochastic dynamics, the methods underlying Monte Carlo simulations, complex systems—and much, much more. The essential resource on the subject, this book is the most up-to-date and accessible introduction available for graduate students and advanced undergraduates seeking a succinct primer on the core ideas of statistical mechanics.

  • Provides the most concise, self-contained introduction to statistical mechanics
  • Focuses on the most promising advances, not complicated calculations
  • Requires only elementary calculus and elementary mechanics
  • Guides readers from the basics to the threshold of modern research
  • Highlights the broad scope of applications of statistical mechanics


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Schlagwörter

Variational principle, Magnetic susceptibility, Internal energy, Dimension, Magnetization, Derivative, Logarithm, Diagram (category theory), Fermion, Big O notation, Wave vector, Taylor series, Variable (mathematics), Mean field theory, Thermodynamic system, Eigenvalues and eigenvectors, Ideal gas, Markov chain, Partition function (statistical mechanics), Grand canonical ensemble, Percolation, Phase space, Statistical mechanics, Critical exponent, Phonon, Renormalization, Heat capacity, Magnetic field, Canonical ensemble, Temperature, Probability, Boltzmann distribution, Instant, Ising model, Power law, Degrees of freedom (statistics), Molecule, Free energy, Phase transition, Thermodynamic equilibrium, Gibbs free energy, Equation, Monte Carlo method, Result, Dirac delta function, Observable, Statistical physics, Chemical potential, Correlation function, Division by zero, Equation of state, Order of magnitude, Correlation function (quantum field theory), Theory, Fourier transform, Calculation, Thermodynamics, Coherence length, Approximation, Initial condition, Quantity, Thermodynamic limit, Gaussian integral, Degrees of freedom (mechanics), Gibbs–Duhem equation, Probability distribution, Intensive and extensive properties, Helmholtz free energy, Fugacity, Normal distribution