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. |
From inside the book
Results 1-3 of 68
Page 239
... Hamiltonian is N H = Heisenberg εΣ σ · ― μ Σ σ · Η ( ij ) i = 1 where ( ij ) denotes a nearest - neighbor pair , H is a uniform external magnetic field , and € and μ are positive constants . Another model , the Ising model , is ...
... Hamiltonian is N H = Heisenberg εΣ σ · ― μ Σ σ · Η ( ij ) i = 1 where ( ij ) denotes a nearest - neighbor pair , H is a uniform external magnetic field , and € and μ are positive constants . Another model , the Ising model , is ...
Page 254
... Hamiltonian of the system in the presence of an external magnetic field H. For weak fields the Hamiltonian the canonical ensemble we have depends on H linearly . In M = kT a log QN ән V and in the grand canonical ensemble we have д log ...
... Hamiltonian of the system in the presence of an external magnetic field H. For weak fields the Hamiltonian the canonical ensemble we have depends on H linearly . In M = kT a log QN ән V and in the grand canonical ensemble we have д log ...
Page 454
... Hamiltonian E ' by " integrating out " the k values whose magnitude lies between A and A / b ( b > 1 ) : E ' [ m ] e = en Λ b IT ′ fdm ( k ) dm * ( k ) e− E [ m ] < | k | < A ( 18.55 ) where the constant is a function of A and all the ...
... Hamiltonian E ' by " integrating out " the k values whose magnitude lies between A and A / b ( b > 1 ) : E ' [ m ] e = en Λ b IT ′ fdm ( k ) dm * ( k ) e− E [ m ] < | k | < A ( 18.55 ) where the constant is a function of A and all the ...
Contents
SOME APPLICATIONS OF THERMODYNAMICS | 31 |
THE PROBLEM OF KINETIC THEORY | 52 |
THE EQUILIBRIUM STATE OF A DILUTE GAS | 73 |
Copyright | |
16 other sections not shown
Other editions - View all
Common terms and phrases
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