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 71
... assume that , since ƒ1⁄2 has a shorter time scale than ƒ1 , it reaches equilibrium earlier than ƒ1 . Thus we set afat = 0 , and assume f2 has attained the equilibrium form described earlier . Similarly , we assume that the range of ...
... assume that , since ƒ1⁄2 has a shorter time scale than ƒ1 , it reaches equilibrium earlier than ƒ1 . Thus we set afat = 0 , and assume f2 has attained the equilibrium form described earlier . Similarly , we assume that the range of ...
Page 417
... assume it is very weak . We have assumed for simplicity that m ( x ) is a single real field . More generally it could have many components , or be complex . The coefficient of vm ( x ) | 2 is chosen to be , to fix the scale of m ( x ) ...
... assume it is very weak . We have assumed for simplicity that m ( x ) is a single real field . More generally it could have many components , or be complex . The coefficient of vm ( x ) | 2 is chosen to be , to fix the scale of m ( x ) ...
Page 449
... assume to correspond to a critical point . Subtracting ( 18.37 ) from ( 18.36 ) , we have K ( n + 1 ) - K * = R ( K ( " ) ) − K * - Assuming n to be very large we can make the linear approximation ( 18.38 ) ( 18.39 ) R ( K ( n ) ) = R ...
... assume to correspond to a critical point . Subtracting ( 18.37 ) from ( 18.36 ) , we have K ( n + 1 ) - K * = R ( K ( " ) ) − K * - Assuming n to be very large we can make the linear approximation ( 18.38 ) ( 18.39 ) R ( K ( n ) ) = R ...
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