On Modified Symmetries for the Boltzmann Equation
نویسندگان
چکیده
منابع مشابه
Notes on the Boltzmann Equation
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 ...
متن کاملOn the quantum Boltzmann equation
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...
متن کاملAn Efficient Modified “ Walk On Spheres ” Algorithm for the Linearized Poisson - Boltzmann Equation
A discrete random walk method on grids was proposed and used to solve the linearized Poisson-Boltzmann equation (LPBE) [1]. Here, we present a new and efficient grid-free random walk method. Based on a modified “Walk On Spheres” (WOS) algorithm [11] for the LPBE, this Monte Carlo algorithm uses a survival probability distribution function for the random walker in a continuous and free diffusion...
متن کاملSteric Effects in Electrolytes: A Modified Poisson-Boltzmann Equation
The adsorption of large ions from solution to a charged surface is investigated theoretically. A generalized Poisson-Boltzmann equation which takes into account the finite size of the ions is presented. We obtain analytical expressions for the electrostatic potential and ion concentrations at the surface, leading to a modified Grahame equation. At high surface charge densities the ionic concent...
متن کاملTheory 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings
سال: 2018
ISSN: 2504-3900
DOI: 10.3390/proceedings2010007