Statistical Mechanics in a Nutshell (eBook)

Luca Peliti (Autor)

eBook Download: EPUB

2011
416 Seiten
Princeton University Press (Verlag)
978-1-4008-3936-0 (ISBN)

Infos

A concise introduction to statistical mechanicsStatistical 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 mechanicsFocuses on the most promising advances, not complicated calculationsRequires only elementary calculus and elementary mechanicsGuides readers from the basics to the threshold of modern researchHighlights the broad scope of applications of statistical mechanics

Autor

Luca Peliti is professor of statistical mechanics at the University of Naples Federico II in Italy. His books include Biologically Inspired Physics.

Produkt-Details

• Erscheint lt. Verlag: 8.8.2011
• Reihe/Serie: In a Nutshell
• Reihe/Serie: In a Nutshell
• Zusatzinfo: 74 line illus. 6 tables.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Themenwelt: Technik
• Schlagworte: Approximation • Avogadro constant • Big O notation • Boltzmann distribution • Boson • Brownian motion • Calculation • Canonical Ensemble • central limit theorem • chemical potential • coefficient • Coherence length • Correlation function • Correlation function (quantum field theory) • critical exponent • Degrees of freedom (mechanics) • Degrees of freedom (statistics) • Derivative • Diagram (category theory) • Dimension • Dirac delta function • Division by zero • Eigenvalues and Eigenvectors • energy level • Equation • Equation of State • Equation of state (cosmology) • Equations of motion • Equipartition theorem • Fermion • Fokker–Planck equation • Fourier transform • free energy • Fugacity • Gaussian integral • Gibbs–Duhem equation • Gibbs Free Energy • grand canonical ensemble • ground state • Harmonic oscillator • heat capacity • Helmholtz Free Energy • ideal gas • Initial Condition • Instant • Intensive and extensive properties • internal energy • Ising Model • Lagrange multiplier • Landau Theory • logarithm • Magnetic field • magnetic susceptibility • magnetization • Markov Chain • Maxwell–Boltzmann distribution • Mean field theory • Microstate (statistical mechanics) • Molecule • Monte Carlo Method • Normal distribution • Observable • Order of magnitude • Pair potential • Partition function (statistical mechanics) • percolation • Perturbation theory (quantum mechanics) • Phase space • phase transition • Phonon • Photon • power law • Probability • Probability Distribution • Proportionality (mathematics) • Quantity • Recurrence relation • renormalization • Renormalization Group • result • Solution • Statistical Mechanics • Statistical Physics • symmetry breaking • Taylor series • Temperature • theory • Thermal de Broglie wavelength • Thermodynamic Equilibrium • Thermodynamic free energy • Thermodynamic Limit • thermodynamics • Thermodynamic system • two-dimensional space • van der waals equation • Variable (mathematics) • Variational Principle • Virial expansion • wave function • Wave vector
• ISBN-10: 1-4008-3936-X / 140083936X
• ISBN-13: 978-1-4008-3936-0 / 9781400839360