Foundations of Physics

, Volume 34, Issue 5, pp 771-813

First online:

Time Evolution in Macroscopic Systems. III: Selected Applications

  • W. T. GrandyJr.Affiliated withDepartment of Physics & Astronomy, University of Wyoming

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The results of two recent articles expanding the Gibbs variational principle to encompass all of statistical mechanics, in which the role of external sources is made explicit, are utilized to further explicate the theory. Representative applications to nonequilibrium thermodynamics and hydrodynamics are presented, describing several fundamental processes, including hydrodynamic fluctuations. A coherent description of macroscopic relaxation dynamics is provided, along with an exemplary demonstration of the approach to equilibrium in a simple fluid.

nonequilibrium statistical mechanics hydrodynamic fluctuations relaxation approach to equilibrium