Statistical mechanics/ (Record no. 175879)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 06906nam a2200145Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789380931890 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.13 |
| Item number | PAT/S |
| 245 #0 - TITLE STATEMENT | |
| Title | Statistical mechanics/ |
| Statement of responsibility, etc. | Pathria,R.K. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 3rd.ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam: |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 718 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | <br/>1. The Statistical Basis of Thermodynamics 1<br/>1.1. The macroscopic and the microscopic states 1<br/>1.2. Contact between statistics and thermodynamics:<br/>physical significance of the number Q(N, V,E) 3<br/>1.3. Further contact between statistics and thermodynamics 6<br/>1.4. The classical ideal gas 9<br/>1.5. The entropy of mixing and the Gibbs paradox 16<br/>1.6. The "correct" enumeration of the microstates 20<br/>Problems 22<br/>2. Elements of Ensemble Theory 25<br/>2.1. Phase space of a classical system 25<br/>2.2. Liouville's theorem and its consequences 27<br/>2.3. The microcanonical ensemble 30<br/>2.4. Examples 32<br/>2.5. Quantum states and the phase space 35<br/>Problems 37<br/>vi Contents<br/>3. The Canonical Ensemble 39<br/>3.1. Equilibrium between a system and a heat reservoir 40<br/>3.2. A System in the canonical ensemble 41<br/>3.3. Physical significance of the various statistical quantities<br/>in the canonical ensemble 50<br/>3.4. Alternative expressions for the partition function 52<br/>3.5. The classical systems 54<br/>3.6. Energy Fluctuations in the canonical ensemble:<br/>correspondence with the microcanonical ensemble 58<br/>3.7. TWo theorems —the "equipartition" and the "virial" 61<br/>3.8. A System of harmonic oscillators 65<br/>3.9. The statistics of paramagnetism 70<br/>3.10. Thermodynamics of magnetic systems:<br/>negative temperatures 77<br/>Problems q3<br/>4. The Grand Canonical Ensemble 91<br/>4.1. Equilibrium between system and a particle-energy<br/>reservoir gj<br/>4.2. A System in the grand canonical ensemble 93<br/>4.3. Physical significance of the various statistical quantities 95<br/>4.4. Examples 9g<br/>4.5. Density and energy fluctuations in the grand canonical<br/>ensemble: correspondence with other ensembles 103<br/>4.6. Thermodynamic phase diagrams IO5<br/>4.7. Phase equilibrium and the Clausius-Clapeyron equation 109<br/>Problems<br/>5. Formulation of Quantum Statistics<br/>5.1. Quantum-mechanical ensemble theory:<br/>the density matrix<br/>5.2. Statistics of the various ensembles<br/><br/>5.3. Examples 122<br/>5.4. Systems composed of indistinguishable particles 128<br/>5.5. The density matrix and the partition function of a<br/>system of free particles 133<br/>Problems 139<br/>6. The Theory of Simple Gases 141<br/>6.1. An ideal gas in a quantum-mechanical<br/>microcanonical ensemble 141<br/>6.2. An Ideal gas in other quantum-mechanical ensembles 146<br/>6.3. Statistics of the occupation numbers 149<br/>6.4. Kinetic considerations 152<br/>6.5. Gaseous systems composed of molecules with<br/>internal motion 155<br/>6.6. Chemical equilibrium 170<br/>Problems 173<br/>7. Ideal Bose Systems 179<br/>7.1. Thermodynamic behavior of an ideal Bose gas i80<br/>7.2. Bose-Einstein condensation in ultracold atomic gases 191<br/>^ 7.3. Thermodynamics of the blackbody radiation 200<br/>7.4. The field of sound waves 205<br/>7.5. Inertial density of the sound field 212<br/>7.6. Elementary excitations in liquid helium II 215<br/>Problems 223<br/>8. Ideal Fermi Systems 231<br/>8.1. Thermodynamic behavior of an ideal Fermi gas 231<br/>8.2. Magnetic behavior of an ideal Fermi Gas 238<br/>8.3. The electron gas in metals 247<br/>8.4. Ultracold atomic Fermi gases 258<br/>Contents vii<br/>viii Contents<br/>8.5. Statistical equilibrium of white dwarf stars 259<br/>8.6. Statistical model ofthe atom 264<br/>Problems 269<br/>9. Thermodynamics of the Early Universe 275<br/>9.1. Observational evidence of the Big Bang 275<br/>9.2. Evolution of the temperature of the universe 280<br/>9.3. Relativistic electrons, positrons, and neutrinos 282<br/>9.4. Neutron fraction 285<br/>9.5. Annihilation of the positrons and electrons 287<br/>9.6. Neutrino temperature 289<br/>9.7. Primordial nucleosynthesis 290<br/>9.8. Recombination 293<br/>9.9. Epilogue 295<br/>Problems 296<br/>10. Statistical Mechanics of Interacting Systems:<br/>The Method of Cluster Expansions 299<br/>10.1. Cluster expansion for a classical gas 299<br/>10.2. Virial expansion of the equation of state 307<br/>10.3. Evaluation of the virial coefficients 309<br/>10.4. General remarks on cluster expansions 315<br/>10.5. Exact treatment of the second virisd coefficient 320<br/>10.6. Cluster expansion for a quantum-mechanical system 325<br/>10.7. Correlations and scattering 331<br/>Problems 340<br/>11. Statistical Mechanics of Interacting Systems:<br/>The Method of Quantized Fields 345<br/>11.1. The~formalism of second quantization 345<br/>11.2. Low-temperature behavior of<br/>an imperfect Bose gas 355<br/>11.3. Low-lying states of an imperfect Bose gas 361<br/>11.4. Energy spectrum of a Bose liquid 366<br/>11.5. States with quantized circulation 370<br/>11.6. Quantized vortex rings and the breakdown<br/>of superfluidity 376<br/>11.7. Low-lying states of an imperfect Fermi gas 379<br/>11.8. Energy spectrum of a Fermi liquid: Landau<br/>phenomenological theory 385<br/>11.9. Condensation in Fermi systems 392<br/>Problems 394<br/>12. Phase Transitions: Criticality, Universality, and Scaling 401<br/>12.1. General remarks on the problem of condensation 402<br/>12.2.<br/>Condensation ofa van der Waals gas 407<br/>12.3. A Dynamical model of phase transitions 411<br/>12.4. The lattice gas and the binary alloy 417<br/>12.5. Ising model in the zeroth approximation 420<br/>12.6. Ising model in the first approximation 427<br/>12.7. The critical exponents 435<br/>12.8.<br/>Thermodynamic inequalities 438<br/>12.9. Landau's phenomenological theory 442<br/>12.10. Scaling hypothesis for thermodynamic functions 446<br/>12.11. The role of correlations £ind fluctuations 449<br/>12.12. The critical exponents Vand 77 456<br/>12.13. Afinal look at the mean field theory 460<br/>Problems 463<br/>13. Phase Transitions: Exact (or Almost Exact) Results<br/>for Various Models 471<br/>13.1. One-dimensional fluid models 471<br/>13.2. The Ising model in one dimension 476<br/>Contents ix<br/>X Contents<br/>13.3. The n-vector models in one dimension 482<br/>13.4. The Ising model in two dimensions 488<br/>13.5. The spherical model in arbitrary dimensions 508<br/>13.6. The ideal Bose gas in arbitrary dimensions 519<br/>13.7. Other models 526<br/>Problems 530<br/>14. Phase Transitions: The Renormalization Group Approach 539<br/>14.1. The conceptual basis of scaling 540<br/>14.2. Some simple examples of renormalization 543<br/>14.3. The renormalization group: general formulation 552<br/>14.4. Applications of the renormalization group 559<br/>14.5. Finite-size scaling 570<br/>Problems<br/>15. Fluctuations and Nonequilibrium Statistical Mechanics 583<br/>15.1. Equilibrium thermodynamic fluctuations 584<br/>15.2. The Einstein-Smoluchowski theory of the<br/>Brownian motion<br/>15.3. The Langevin theory of the Brownian motion 593<br/>15.4. Approach to equilibrium: tiie Fokker-Planck equation 603<br/>15.5. Spectral £analysis of fluctuations: the<br/>Wiener-Khintchine theorem 609<br/>15.6. The fluctuation-dissipation theorem 617<br/>15.7. The Onsager relations 626<br/>Problems 632<br/>16. Computer Simulations 637<br/>16.1. Introduction and statistics 637<br/>16.2. Monte Carlo simulations 640<br/>16.3. Molecular dynamics 643<br/>16.4. Particle simulations 646<br/>16.5. Computer simulation caveats 650<br/> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Science Library, Sikkim University | General Book Section | 29/08/2016 | 530.13 PAT/S | P30876 | 05/07/2024 | 24/06/2024 | General Books |