Unlike 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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part A THERMODYNAMICS AND KINETIC THEORY
SOME APPLICATIONS OF THERMODYNAMICS
THE PROBLEM OF KINETIC THEORY
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absolute zero approximation arbitrary assume atoms Bose gas Bose-Einstein condensation bosons boundary condition calculate classical coefficient collision consider constant coordinates corresponds critical exponents critical point defined denoted density derivation dimension distribution function eigenvalues electrons ensemble average entropy equilibrium external Fermi gas fermions ferromagnetic finite first-order fixed point fluctuations fluid free energy given grand canonical ensemble Hamiltonian Helmholtz free energy Hence ideal Bose gas ideal gas independent integral interaction Ising model isotherm Landau lattice law of thermodynamics liquid macroscopic magnetic field matrix Maxwell-Boltzmann distribution mean-field microcanonical ensemble molecules momentum number of particles obtain occupation numbers order parameter partition function phase transition phonons Phys plane potential pressure quantity region RG transformation scale second law shown in Fig solution space specific heat spin spontaneous magnetization statistical mechanics superfluid temperature theorem theory vector velocity volume wave function