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
... average energy of a molecule , defined by We have , setting vo = 0 : mC € = d3v v2e ̄Av2 § d3v mv2 fo ( v ) S d3v fo ( v ) mc - 2 m C [ € = 2n = n 00 dv v1e - 4v2 3 m = 4 A The constant A is therefore related to the average energy by ...
... average energy of a molecule , defined by We have , setting vo = 0 : mC € = d3v v2e ̄Av2 § d3v mv2 fo ( v ) S d3v fo ( v ) mc - 2 m C [ € = 2n = n 00 dv v1e - 4v2 3 m = 4 A The constant A is therefore related to the average energy by ...
Page 72
... average values of v2 , v , 2 , and v2 are all equal to one - third of the average of v2 = v2 + v2 + v , 2 . Finally we notice that P = C | d3v mv2e ̄4v2 ď3v1⁄2mv3e ̄1 = jne ( 4.21 ) This is the equation of state . Experimentally we ...
... average values of v2 , v , 2 , and v2 are all equal to one - third of the average of v2 = v2 + v2 + v , 2 . Finally we notice that P = C | d3v mv2e ̄4v2 ď3v1⁄2mv3e ̄1 = jne ( 4.21 ) This is the equation of state . Experimentally we ...
Page 142
... average values are commonly introduced : The most probable value and the ensemble average . The most probable value of f ( p , q ) is the value of f ( p , q ) that is possessed by the largest number of systems in the ensemble . The ...
... average values are commonly introduced : The most probable value and the ensemble average . The most probable value of f ( p , q ) is the value of f ( p , q ) that is possessed by the largest number of systems in the ensemble . The ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
THE PROBLEM OF KINETIC THEORY | 55 |
Copyright | |
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absolute zero approximation assume assumption atoms average becomes Boltzmann Bose calculate called canonical ensemble classical collision complete condition consider constant contains coordinates corresponds defined definition denoted density depends derivation determined discussion distribution effect eigenvalues elements energy ensemble entropy equal equation equilibrium excited exists expansion external fact Fermi field finite given ground Hamiltonian heat Hence ideal independent integral interaction lattice levels limit liquid magnetic mass matrix mean molecular molecules momentum n₁ obtain occupation operator particles partition function phase physical positive possible potential pressure probability problem properties quantity quantum quantum mechanics region represented respectively result satisfies shown in Fig solution specific statistical mechanics temperature theorem theory thermodynamic transformation transition unit V₁ V₂ valid volume wave function