Some Probabilistic Aspects of the Boltzmann-Equation
Discussion of the probabilistic nature of the Boltzmann equation centered around the Master Equation approach. Some purely mathematical implications as well as some recent work on adding fluctuating terms to the Boltzmann equation will also be reviewed briefly.
KeywordsBoltzmann Equation Master Equation Irreversible Thermodynamic Linearize Boltzmann Equation Probabilistic Aspect
Unable to display preview. Download preview PDF.
- H.P. McKean, Jr., Propagation of Chaos for a Class of Non-linear Parabolic Equations, in Lecture Series in Differential Equations, Vol. II, Ed. A.K. Aziz, Van Nostrand Reinhold Co., 1969.Google Scholar
- L.D. Landau and E.M. Lifshitz, Fluid Mechanics, Perga-mon Press, 1959. See especially Chapter XVII.Google Scholar
- R.F. Fox, Contributions to the Theory of Non-Equilibrium Thermodynamics, Thesis, Rockefeller University, 1969.Google Scholar