منابع مشابه
Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation
Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...
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In [32, 31], fast deterministic algorithms based on spectral methods were derived for the Boltzmann collision operator for a class of interactions including the hard spheres model in dimension 3. These algorithms are implemented for the solution of the Boltzmann equation in dimension 2 and 3, first for homogeneous solutions, then for general non homogeneous solutions. The results are compared t...
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We wish to describe the motion of a rarefied gas, consisting of a very large number of identical particles, moving in a three-dimensional space. For (t, x, ξ) ∈ [0,∞[×IR3 × IR, we consider a function f(t, x, ξ) describing the density of particles at time t, at the point x, having speed ξ. In alternative, we may also think of f(t, x, ξ) as the probability of finding a particle with speed ξ near ...
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We introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kernel, it is shown that, if the initial distribution has finite temperature, the solution converges exponentially for large–time to a Maxwellian profile drifting at the same velocity as field particles and with a universa...
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We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrödinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreeness in the weak coupling limit at any later time. By definition, a state is called restricted quasifree if the four-point and the eight-point fun...
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ژورنال
عنوان ژورنال: Journal of Cosmology and Astroparticle Physics
سال: 2016
ISSN: 1475-7516
DOI: 10.1088/1475-7516/2016/04/040