Journal ArticleDOI
Formation of Maxwellian Tails
Max Krook,Tai Tsun Wu +1 more
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In this article, the authors studied the relaxation to a Maxwell distribution in the context of classical kinetic theory and derived an exact solution of the nonlinear Boltzmann equation and an asymptotic solution.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 fusionread more
Citations
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Journal ArticleDOI
On stochastic approaches of nuclear dynamics
TL;DR: In this paper, the Boltzmann Langevin Equation (BLE) is used to describe the dynamics of nuclear particle de-excitation by thermal fission in the presence of particle evaporation.
Book
Invariant Manifolds for Physical and Chemical Kinetics
TL;DR: In this paper, a film extension of the dynamics is described, which is called the Film of Nonequilibrium States (FOS), and a slow invariant manifold for open systems is estimated.
Journal ArticleDOI
Monte Carlo simulation of ion motion in drift tubes
S. L. Lin,J. N. Bardsley +1 more
TL;DR: In this article, the motion of a swarm of ions in a uniform electric field is studied by simulating the motion a single ion through many collisions with neutral atoms in order to obtain the drift velocity, average energy, and velocity distribution for the ions.
Journal ArticleDOI
Exact solutions of the Boltzmann equation
Max Krook,Tai Tsun Wu +1 more
TL;DR: In this article, the nonlinear Boltzmann equation for the relaxation to equilibrium of a homogeneous one-component gas, is considered for a class of collision models, characterized by elastic cross sections inversely proportional to the relative speed, but with arbitrary dependence on center-of-mass scattering angle.
References
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MonographDOI
The problem of moments
J. Shohat,J. D. Tamarkin +1 more
TL;DR: Later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed in this paper, with a chapter devoted to approximate quadrature formulas.