Equilibrium and Non-Equilibrium Statistical Mechanics

Equilibrium and Non-Equilibrium Statistical Mechanics

Volumn , Issue , 2008, Pages 1-960

  Van Vliet, Carolyne M ^a,b  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; CONDENSED MATTER PHYSICS; FOKKER PLANCK EQUATION; INTEGRAL EQUATIONS; STATISTICAL MECHANICS; STOCHASTIC SYSTEMS; STUDENTS;

DIAGRAMMATIC METHODS; ENSEMBLE APPROACHES; GRAND CANONICAL ENSEMBLE; LINEAR-RESPONSE THEORY; NON-EQUILIBRIUM PROCESS; NON-EQUILIBRIUM STATISTICAL MECHANICS; SECOND QUANTIZATION; TRUNCATION PROCEDURE;

PHASE SPACE METHODS;

EID: 74149093227     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/6354     Document Type: Book

References (585)

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2. We employ rationalized Gaussian (Heaviside–Lorentz) units throughout this text.
3. More completely the Hamiltonian is i H p q V N A ≡ H p q A Sometimes we include V and N with the external parameters {Ai} = A1…Ap.
4. J. Willard Gibbs, Yale University Press, New Haven 1902; reprinted by Dover Publications, N.Y., 1960.
5. This will be borne out by later detailed computations of the energy for classical and quantum systems.
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10. Strictly speaking, in a statistical mechanics treatment, P and ς will appear as averages in a microcanonical ensemble; however, the bars will usually be omitted to ease the notation.
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12. In former times, before ‘nano-science’ appropriated the term, these variables were called ‘mesoscopic’ from the Greek μεσοσ in between; we shall employ this denotation esp. in the Non-Equilibrium part.
13. There is no unanimity of opinion with respect to (iv). Van Kampen (Ref.16, p.183) takes the attitude that the ai can represent any observable whose relaxations are noticeable on a macroscopic scale, such as temperature fluctuations in a bolometer, pressure fluctuations of a membrane, etc. De Groot and Mazur (Ref. 17, p. 85) on the contrary, assume that only extensive variables, expressive as a(p, q) or corresponding operators, should be considered. As an example they mention charge fluctuations.
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