Statistical MechanicsUnlike most other texts on the subject, this clear, concise introduction to the theory of microscopic bodies treats the modern theory of critical phenomena. Provides up-to-date coverage of recent major advances, including a self-contained description of thermodynamics and the classical kinetic theory of gases, interesting applications such as superfluids and the quantum Hall effect, several current research applications, The last three chapters are devoted to the Landau-Wilson approach to critical phenomena. Many new problems and illustrations have been added to this edition. |
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Page 90
... theorem that dH / dt ≤ 0 at all times . The correct statement of the H theorem , as given in the last section , is free from such objections . We mention these " paradoxes " purely for historical interest . The " reversal paradox " is ...
... theorem that dH / dt ≤ 0 at all times . The correct statement of the H theorem , as given in the last section , is free from such objections . We mention these " paradoxes " purely for historical interest . The " reversal paradox " is ...
Page 91
... theorem has so far been an interesting mathematical exercise irrelevant to physics . Proof of Poincaré's Theorem Let a state of the system be represented by a point in П space . As time goes on , any point in г space traces out a locus ...
... theorem has so far been an interesting mathematical exercise irrelevant to physics . Proof of Poincaré's Theorem Let a state of the system be represented by a point in П space . As time goes on , any point in г space traces out a locus ...
Page 487
... theorem , 86 Avogadro's number , 6 Baker - Campbell - Hausdorf theorem , 204 Baryon conservation , 154 BBGKY hierarchy , 65 , 68 Bendt , P. J. , 310 Bernoulli's equation , 104 Bessel , F. W. , 248 Beta brass , 346 Beth , E. , 224 Bethe ...
... theorem , 86 Avogadro's number , 6 Baker - Campbell - Hausdorf theorem , 204 Baryon conservation , 154 BBGKY hierarchy , 65 , 68 Bendt , P. J. , 310 Bernoulli's equation , 104 Bessel , F. W. , 248 Beta brass , 346 Beth , E. , 224 Bethe ...
Contents
SOME APPLICATIONS OF THERMODYNAMICS | 31 |
THE PROBLEM OF KINETIC THEORY | 52 |
THE EQUILIBRIUM STATE OF A DILUTE GAS | 73 |
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absolute zero approximation assume atoms Boltzmann Bose gas Bose-Einstein condensation bosons boundary condition calculate classical collision consider constant coordinates corresponds critical exponents d³p d³r defined denoted density derivation distribution function eigenvalues electrons entropy equation equilibrium external Fermi gas fermions finite fixed point free energy given grand canonical ensemble Hamiltonian Helmholtz free energy Hence ideal Bose gas ideal gas integral interaction Ising model isotherm Landau lattice law of thermodynamics liquid macroscopic magnetic field matrix Maxwell-Boltzmann distribution mean-field microcanonical ensemble molecular molecules momentum n₁ N₂ number of particles obtain occupation numbers order parameter P₁ partition function phase transition phonons Phys potential pressure quantum r₁ shown in Fig sinh space specific heat spin statistical mechanics superfluid T₁ temperature theorem theory V₁ V₂ vector velocity volume wave function ди