Statistical Mechanics'This is an excellent book from which to learn the methods and results of statistical mechanics.' Nature 'A well written graduate-level text for scientists and engineers... Highly recommended for graduate-level libraries.' ChoiceThis highly successful text, which first appeared in the year 1972 and has continued to be popular ever since, has now been brought up-to-date by incorporating the remarkable developments in the field of 'phase transitions and critical phenomena' that took place over the intervening years. This has been done by adding three new chapters (comprising over 150 pages and containing over 60 homework problems) which should enhance the usefulness of the book for both students and instructors. We trust that this classic text, which has been widely acclaimed for its clean derivations and clear explanations, will continue to provide further generations of students a sound training in the methods of statistical physics. |
From inside the book
Results 1-5 of 37
Page vi
... oscillators 3.9. The statistics of paramagnetism 3.10. Thermodynamics of magnetic systems: negative temperatures ... oscillator 5.4. Systems composed of indistinguishable particles 5.5. The density matrix and the partition function ...
... oscillators 3.9. The statistics of paramagnetism 3.10. Thermodynamics of magnetic systems: negative temperatures ... oscillator 5.4. Systems composed of indistinguishable particles 5.5. The density matrix and the partition function ...
Page 37
... oscillator. The classical expression for the Hamiltonian of this system is 1 1 H (q, p) = # "2m p°, (8) where k is the spring constant and m the mass of the oscillating particle. The space coordinate q and the momentum coordinate p of ...
... oscillator. The classical expression for the Hamiltonian of this system is 1 1 H (q, p) = # "2m p°, (8) where k is the spring constant and m the mass of the oscillating particle. The space coordinate q and the momentum coordinate p of ...
Page 38
... oscillator energy to the interval (E – #A, E + #A), its representative point in the phase space will be confined to the region bounded by elliptical trajectories corresponding to the energy values (E+ #A) and (E - #A). The “volume” (in ...
... oscillator energy to the interval (E – #A, E + #A), its representative point in the phase space will be confined to the region bounded by elliptical trajectories corresponding to the energy values (E+ #A) and (E - #A). The “volume” (in ...
Page 40
... oscillator, provided that we divide phase space into elementary cells of volume h” and put these cells into one-to-one correspondence with the vibrational modes of Rayleigh. It may, however, be added that a two-fold multiplicity of ...
... oscillator, provided that we divide phase space into elementary cells of volume h” and put these cells into one-to-one correspondence with the vibrational modes of Rayleigh. It may, however, be added that a two-fold multiplicity of ...
Page 41
... oscillators, the energy eigenvalues of the oscillators being (n + #)ho, n = 0, 1, 2, ..., and (ii) the corresponding expression for the “volume” of the relevant region of the phase space of this system. Establish the correspondence ...
... oscillators, the energy eigenvalues of the oscillators being (n + #)ho, n = 0, 1, 2, ..., and (ii) the corresponding expression for the “volume” of the relevant region of the phase space of this system. Establish the correspondence ...
Contents
1 | |
9 | |
30 | |
43 | |
90 | |
104 | |
Chapter 6 The Theory of Simple Gases | 127 |
Chapter 7 Ideal Bose Systems | 157 |
The Method of Quantized Fields | 262 |
Criticality Universality and Scaling | 305 |
Exact or Almost Exact Results for the Various Models | 366 |
The Renormalization Group Approach | 414 |
Chapter 14 Fluctuations | 452 |
Appendixes | 495 |
Bibliography | 513 |
Index | 523 |
Common terms and phrases
Accordingly appearing approach approximation arises assume atoms becomes behavior classical clearly coefficient Comparing complete condition consider constant coordinates correlation corresponding critical defined denotes density dependence derived determined distribution effect electron energy ensemble entropy equal equation equilibrium evaluate expansion expect exponents expression fact factor Fermi field fixed fluctuations follows formula given given system gives hence ideal identical integral interaction lattice leads limit liquid magnetic mean molecules motion nature normal obtain operator parameter particles partition function phase Phys physical positive potential probability problem properties quantity referred region relation relationship represents respectively result Show space specific heat spontaneous magnetization statistics summation temperature theorem theory thermodynamic transformation transition turn variable various volume wave write written zero