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 148
... thermodynamic transformation corresponds to a slow variation of E and V ... functions in terms of molecular interactions . The third law of ... functions of a system . RECIPE . Consider an isolated system that occupies volume V and has an ...
... thermodynamic transformation corresponds to a slow variation of E and V ... functions in terms of molecular interactions . The third law of ... functions of a system . RECIPE . Consider an isolated system that occupies volume V and has an ...
Page 164
... thermodynamic functions we define the grand partition function as follows : 00 2 ( z , V , T ) = Σ zaQn ( V , T ) N = 0 ( 8.34 ) which in principle can be calculated from a knowledge of the Hamiltonian . Integrating both sides of ( 8.33 ) ...
... thermodynamic functions we define the grand partition function as follows : 00 2 ( z , V , T ) = Σ zaQn ( V , T ) N = 0 ( 8.34 ) which in principle can be calculated from a knowledge of the Hamiltonian . Integrating both sides of ( 8.33 ) ...
Page 165
... function of N , V , and T , is obtained by eliminating z between ( 8.35 ) and ( 8.36 ) . All other thermodynamic functions may be obtained from the internal energy : a U = - log 2 ( z , V , T ) ав ( 8.37 ) After eliminating z with the ...
... function of N , V , and T , is obtained by eliminating z between ( 8.35 ) and ( 8.36 ) . All other thermodynamic functions may be obtained from the internal energy : a U = - log 2 ( z , V , T ) ав ( 8.37 ) After eliminating z with the ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
4 | 46 |
Copyright | |
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absolute zero approximation atoms average Boltzmann transport equation Bose gas bosons boundary condition calculate classical collision consider constant coordinates corresponds d³r d³v defined denoted density derivation distribution function E₁ eigenvalues energy levels entropy equilibrium excited Fermi gas fermions finite given grand canonical ensemble Hamiltonian hard-sphere Helmholtz free energy Hence ideal Bose gas ideal gas independent integral interaction Ising model isotherm lattice law of thermodynamics liquid He¹ log 2(z macroscopic magnetic matrix elements Maxwell-Boltzmann distribution microcanonical ensemble molecular chaos molecules momentum N₁ N₂ number of particles obtain occupation numbers P₁ partition function phase transition phonons potential pressure pseudopotentials r₁ second law shown in Fig sinh solution specific heat spin statistical mechanics superfluid T-space T₁ temperature theorem transformation V₁ V₂ valid vector velocity volume wave function ди др