The jump-length probability distribution (JLPD) in a periodic system is studied using the solution of the linearized Boltzmann equation with BGK collision kernel. The equation is solved both by the matrix-continued-fraction method and by direct numerical simulations. The JLPDs obtained by the BGK equation are compared to those derived from other kinetic models, such as the Langevin (Fokker-Planck) model.
Ferrando, R., Montalenti, F., Spadacini, R., Tommei, G. (1999). Long-jump probabilities in a BGK model for surface diffusion. CHEMICAL PHYSICS LETTERS, 315(3-4), 153-157 [10.1016/S0009-2614(99)01254-3].
Long-jump probabilities in a BGK model for surface diffusion
MONTALENTI, FRANCESCO CIMBRO MATTIA;
1999
Abstract
The jump-length probability distribution (JLPD) in a periodic system is studied using the solution of the linearized Boltzmann equation with BGK collision kernel. The equation is solved both by the matrix-continued-fraction method and by direct numerical simulations. The JLPDs obtained by the BGK equation are compared to those derived from other kinetic models, such as the Langevin (Fokker-Planck) model.
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