A limit theorem for stochastic acceleration
نویسندگان
چکیده
منابع مشابه
A Limit Theorem for Stochastic Acceleration
We consider the motion of a particle in a weak mean zero random force field F, which depends on the position, x(t), and the velocity, v(t) = 2(0. The equation of motion is 2(0 = ef(x( t ) , v(t), 0~), where x( ') and v(-) take values in R d, d > 3, and co ranges over some probability space. We show, under suitable mixing and moment conditions on F, that as e--+ 0, v~( t ) v(t/e 2) converges wea...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1980
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01941968