Formation of Maxwellian Tails
Abstract
Using two models, we study the relaxation to a Maxwell distribution in the context of classical kinetic theory. For the first model, an exact solution of the nonlinear Boltzmann equation is derived. For the second model, an asymptotic solution exhibits the remarkable feature of a transient tail population sometimes much larger than the equilibrium Maxwell distribution. This phenomenon may be of importance for calculating rates of fast chemical reactions and for controlled thermonuclear fusion.
 Publication:

Physical Review Letters
 Pub Date:
 May 1976
 DOI:
 10.1103/PhysRevLett.36.1107
 Bibcode:
 1976PhRvL..36.1107K
 Keywords:

 Gas Temperature;
 Kinetic Theory;
 MaxwellBoltzmann Density Function;
 Statistical Distributions;
 Asymptotic Methods;
 Chemical Reactions;
 Controlled Fusion;
 Elastic Scattering;
 Energy Distribution;
 HydrogenBased Energy;
 Mathematical Models;
 Molecular Gases;
 Molecular Relaxation;
 Nonlinear Equations;
 Thermonuclear Reactions;
 Transient Response;
 Thermodynamics and Statistical Physics