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 108
... coefficient of viscosity , we independently calculate the coefficient of viscosity using its experimental definition . Consider a gas of uniform and constant density and temperature , with an average velocity given by Их = A + By = = u1 ...
... coefficient of viscosity , we independently calculate the coefficient of viscosity using its experimental definition . Consider a gas of uniform and constant density and temperature , with an average velocity given by Их = A + By = = u1 ...
Page 219
... coefficient . We can find the relationship between the virial coefficients a , and the cluster integrals b , by substituting ( 10.30 ) into ( 10.28 ) and requiring that the resulting equation be satisfied for every z : ∞ ∞ α . Σ Σ ...
... coefficient . We can find the relationship between the virial coefficients a , and the cluster integrals b , by substituting ( 10.30 ) into ( 10.28 ) and requiring that the resulting equation be satisfied for every z : ∞ ∞ α . Σ Σ ...
Page 417
... coefficient of vm ( x ) | 2 is chosen to be , to fix the scale of m ( x ) . All other coefficients are ... coefficient for the order parameter to be correctly given by -G / H . The coefficient so for the cubic term must vanish for ...
... coefficient of vm ( x ) | 2 is chosen to be , to fix the scale of m ( x ) . All other coefficients are ... coefficient for the order parameter to be correctly given by -G / H . The coefficient so for the cubic term must vanish for ...
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