کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154712 1462585 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Diffusion limit of Lévy-Lorentz gas is Brownian motion
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Diffusion limit of Lévy-Lorentz gas is Brownian motion
چکیده انگلیسی
In this paper we analyze asymptotic behaviour of a stochastic process called Lévy-Lorentz gas. This process is aspecial kind of continuous-time random walk in which walker moves in the fixed environment composed of scattering points. Upon each collision the walker performs a flight to the nearest scattering point. This type of dynamics is observed in Lévy glasses or long quenched polymers. We show that the diffusion limit of Lévy-Lorentz gas with finite mean distance between scattering centers is the standard Brownian motion. Thus, for long times the behaviour of the Lévy-Lorentz gas is close to the diffusive regime.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 60, July 2018, Pages 100-106
نویسندگان
, ,