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 307
... atoms , so that it becomes impossible to localize the atoms at well - defined lattice sites . To under- stand these reasons , we must first have a few facts . The potential energy v ( r ) between two He atoms separated by a distance r ...
... atoms , so that it becomes impossible to localize the atoms at well - defined lattice sites . To under- stand these reasons , we must first have a few facts . The potential energy v ( r ) between two He atoms separated by a distance r ...
Page 344
... atoms are represented by solid circles and the empty lattice sites by open circles . We neglect the kinetic energy of an atom and assume that only nearest neighbors interact , and the interaction energy for a pair of nearest neighbors ...
... atoms are represented by solid circles and the empty lattice sites by open circles . We neglect the kinetic energy of an atom and assume that only nearest neighbors interact , and the interaction energy for a pair of nearest neighbors ...
Page 346
... atoms interacting with one another through a zero - range potential . Thus it may be interesting to study the phase transition of a lattice gas . The lattice gas has also been used as a model for the melting of a crystal lattice . When ...
... atoms interacting with one another through a zero - range potential . Thus it may be interesting to study the phase transition of a lattice gas . The lattice gas has also been used as a model for the melting of a crystal lattice . When ...
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