»
Statistical Mechanics
 
 

Statistical Mechanics, 3rd Edition

 
Statistical Mechanics, 3rd Edition,R K Pathria,Paul D. Beale,ISBN9780123821881
 
 
 

  &      

Academic Press

9780123821881

9780123821898

744

235 X 191

Check out the companion website: http://www.elsevierdirect.com/companion.jsp?ISBN=9780123821881
and the Instructor website: http://textbooks.elsevier.com/web/manuals.aspx?isbn=9780123821881

Print Book + eBook

USD 113.94
USD 189.90

Buy both together and save 40%

Add to Cart
Select format

Print Book

Paperback

In Stock

Estimated Delivery Time
USD 94.95

eBook
eBook Overview

VST format

USD 94.95
Add to Cart
 
 

Key Features

-Bose-Einstein condensation in atomic gases
-Thermodynamics of the early universe
-Computer simulations: Monte Carlo and molecular dynamics
-Correlation functions and scattering
-Fluctuation-dissipation theorem and the dynamical structure factor
-Chemical equilibrium
-Exact solution of the two-dimensional Ising model for 
finite systems
-Degenerate atomic Fermi gases
-Exact solutions of one-dimensional
fluid models
-Interactions in ultracold Bose and Fermi gases
-Brownian motion of anisotropic particles and harmonic oscillators

Description

Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics.

Readership

Graduate and Advanced Undergraduate Students in Physics. Researchers in the field of Statisical Physics.

R K Pathria

Affiliations and Expertise

University of California at San Diego

Paul D. Beale

Affiliations and Expertise

University of Colorado at Boulder

Statistical Mechanics, 3rd Edition

Preface to the Third Edition Preface to the Second Edition Preface to the First Edition Historical Introduction 1. The Statistical Basis of Thermodynamics     1.1. The macroscopic and the microscopic states     1.2. Contact between statistics and thermodynamics: physical significance of the number O(N,V,E)     1.3. Further contact between statistics and thermodynamics     1.4. The classical ideal gas     1.5. The entropy of mixing and the Gibbs paradox     1.6. The “correct” enumeration of the microstates      Problems 2. Elements of Ensemble Theory     2.1. Phase space of a classical system     2.2. Liouville’s theorem and its consequences     2.3. The microcanonical ensemble     2.4. Examples     2.5. Quantum states and the phase space     Problems 3. The Canonical Ensemble     3.1. Equilibrium between a system and a heat reservoir     3.2. A system in the canonical ensemble     3.3. Physical significance of the various statistical quantities in the canonical ensemble     3.4. Alternative expressions for the partition function     3.5. The classical systems     3.6. Energy fluctuations in the canonical ensemble: correspondence with the microcanonical ensemble     3.7. Two theorems-the “equipartition” and the “virial”     3.8. A system of harmonic oscillators     3.9. The statistics of paramagnetism     3.10. Thermodynamics of magnetic systems: negative temperatures     Problems 4. The Grand Canonical Ensemble 91     4.1. Equilibrium between a system and a particle-energy reservoir     4.2. A system in the grand canonical ensemble     4.3. Physical significance of the various statistical quantities     4.4. Examples     4.5. Density and energy fluctuations in the grand canonical ensemble: correspondence with other ensembles     4.6. Thermodynamic phase diagrams     4.7. Phase equilibrium and the Clausius-Clapeyron equation     Problems 5. Formulation of Quantum Statistics     5.1. Quantum-mechanical ensemble theory: the density matrix     5.2. Statistics of the various ensembles     5.3. Examples     5.4. Systems composed of indistinguishable particles     5.5. The density matrix and the partition function of a system of free particles     Problems 6. The Theory of Simple Gases     6.1. An ideal gas in a quantum-mechanical microcanonical ensemble     6.2. An ideal gas in other quantum-mechanical ensembles     6.3. Statistics of the occupation numbers     6.4. Kinetic considerations     6.5. Gaseous systems composed of molecules with internal motion     6.6. Chemical equilibrium     Problems 7. Ideal Bose Systems     7.1. Thermodynamic behavior of an ideal Bose gas     7.2. Bose-Einstein condensation in ultracold atomic gases     7.3. Thermodynamics of the blackbody radiation     7.4. The field of sound waves     7.5. Inertial density of the sound field     7.6. Elementary excitations in liquid helium II     Problems 8. Ideal Fermi Systems     8.1. Thermodynamic behavior of an ideal Fermi gas     8.2. Magnetic behavior of an ideal Fermi gas     8.3. The electron gas in metals     8.4. Ultracold atomic Fermi gases     8.5. Statistical equilibrium of white dwarf stars     8.6. Statistical model of the atom     Problems 9. Thermodynamics of the Early Universe     9.1. Observational evidence of the Big Bang     9.2. Evolution of the temperature of the universe     9.3. Relativistic electrons, positrons, and neutrinos     9.4. Neutron fraction     9.5. Annihilation of the positrons and electrons     9.6. Neutrino temperature     9.7. Primordial nucleosynthesis     9.8. Recombination     9.9. Epilogue     Problems 10. Statistical Mechanics of Interacting Systems: The Method of Cluster Expansions     10.1. Cluster expansion for a classical gas     10.2. Virial expansion of the equation of state     10.3. Evaluation of the virial coefficients     10.4. General remarks on cluster expansions     10.5. Exact treatment of the second virial coefficient     10.6. Cluster expansion for a quantum-mechanical system     10.7. Correlations and scattering     Problems 11. Statistical Mechanics of Interacting Systems: The Method of Quantized Fields     11.1. The formalism of second quantization     11.2. Low-temperature behavior of an imperfect Bose gas     11.3. Low-lying states of an imperfect Bose gas     11.4. Energy spectrum of a Bose liquid     11.5. States with quantized circulation     11.6. Quantized vortex rings and the breakdown of superfluidity     11.7. Low-lying states of an imperfect Fermi gas     11.8. Energy spectrum of a Fermi liquid: Landau’s phenomenological theory     11.9. Condensation in Fermi systems     Problems 12. Phase Transitions: Criticality, Universality, and Scaling     12.1. General remarks on the problem of condensation     12.2. Condensation of a van der Waals gas     12.3. A dynamical model of phase transitions     12.4. The lattice gas and the binary alloy     12.5. Ising model in the zeroth approximation     12.6. Ising model in the first approximation     12.7. The critical exponents     12.8. Thermodynamic inequalities     12.9. Landau’s phenomenological theory     12.10. Scaling hypothesis for thermodynamic functions     12.11. The role of correlations and fluctuations     12.12. The critical exponents ? and n     12.13. A final look at the mean field theory     Problems 13. Phase Transitions: Exact (or Almost Exact) Results for Various Models     13.1. One-dimensional fluid models     13.2. The Ising model in one dimension     13.3. The n-vector models in one dimension     13.4. The Ising model in two dimensions     13.5. The spherical model in arbitrary dimensions     13.6. The ideal Bose gas in arbitrary dimensions     13.7. Other models     Problems 14. Phase Transitions: The Renormalization Group Approach     14.1. The conceptual basis of scaling     14.2. Some simple examples of renormalization     14.3. The renormalization group: general formulation     14.4. Applications of the renormalization group     14.5. Finite-size scaling     Problems 15. Fluctuations and Nonequilibrium Statistical Mechanics     15.1. Equilibrium thermodynamic fluctuations     15.2. The Einstein-Smoluchowski theory of the Brownian motion     15.3. The Langevin theory of the Brownian motion     15.4. Approach to equilibrium: the Fokker-Planck equation     15.5. Spectral analysis of fluctuations: the Wiener-Khintchine theorem     15.6. The fluctuation-dissipation theorem     15.7. The Onsager relations     Problems 16. Computer Simulations     16.1. Introduction and statistics     16.2. Monte Carlo simulations     16.3. Molecular dynamics     16.4. Particle simulations     16.5. Computer simulation caveats     Problems Appendices     A. Influence of boundary conditions on the distribution of quantum states     B. Certain mathematical functions     C. “Volume” and “surface area” of an n-dimensional sphere of radius R     D. On Bose-Einstein functions     E. On Fermi-Dirac functions     F. A rigorous analysis of the ideal Bose gas and the onset of Bose-Einstein condensation     G. On Watson functions     H. Thermodynamic relationships     I. Pseudorandom numbers Bibliography Index

Quotes and reviews

"An excellent graduate-level text. The selection of topics is very complete and gives to the student a wide view of the applications of statistical mechanics. The set problems reinforce the theory exposed in the text, helping the student to master the material"--Francisco Cevantes
"Making sense out of the world around us in one of the most appealing facets of physics. One may start by putting together seemingly isolated observations and as the different pieces start to fall into place, more complicated arrangements and more fundamental explanations are sought. This is indeed the case for instance when trying to understand the behaviour of a collection of particles. On the one hand, thermo- dynamics provides us with a satisfactory explanation of the macroscopic phenomena observed, however, in order to get to the core of the physical system it becomes necessary to take into account the microscopic constituents of the system as well as the fact that quantum mechanical effects are at play. This is the realm of statistical mechanics and the subject of one of the most widely recognised textbooks around the globe: Pathria’s Statistical Mechanics.The original style of the book is kept, and the clarity of explanations and derivations is still there. I am convinced that this third edition of Statistical Mechanics will enable a number of new generations of physicists to gain a solid background of statistical physics and that can only be a good thing."--Contemporary Physics, pages 619-620

 
 

Shop with Confidence

Free Shipping around the world
▪ Broad range of products
▪ 30 days return policy
FAQ

Contact Us