Thermodynamic equilibrium under long-range forces. II. Gravity and other models

Details Thermodynamic equilibrium under long-range forces. II. Gravity and other models Thermodynamic equilibrium under long-range forces. II. Gravity and other models

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrva..35..406s&link_type=abstract

Physical Review A (General Physics), Volume 35, Issue 1, January 1, 1987, pp.406-410

Mathematics

Dynamical Systems

4

Other Topics In Statistical Physics, Thermodynamics, And Nonlinear Dynamical Systems, Other Topics In General Relativity And Gravitation

Scientific paper

The equilibrium configuration of several models with long-range interaction is discussed by maximizing the entropy S with the fields constrained by the field equations. The calculations include a scalar field model (with Newtonian gravity as a special case) and general relativity, as well as a model in which a field is coupled to a nonconserved charge. The results illustrate the connection between temperature (particle number density) -dependent terms in the field equations and the appearance of nonuniform temperature (chemical potential) in equilibrium. The model with the nonconserved charge illustrates the likelihood of ``miraculous'' cancellations in phenomenological coarse-grain theories.

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