منابع مشابه
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We consider Burgers equation forced by a brownian in space and white noise in time process ∂tu+ 1 2 ∂x(u) = f(x, t), with E(f(x, t)f(y, s)) = 1 2 (|x|+ |y| − |x− y|)δ(t− s) and we show that there are Levy processes solutions, for which we give the evolution equation of the characteristic exponent. In particular we give the explicit solution in the case u0(x) = 0.
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We refute the arguments by Anton in cond-mat/0004390, which set out to disprove the existence of a collapse transition for a randomly forced inelastic particle. An eprint by Anton [1] has recently appeared on this archive, criticizing our proposal of a collapse transition for an inelastic, randomly-forced particle [2]. Our conclusions were that a particle forced by Gaussian white noise that reb...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2007
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.98.098101