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Density fluctuations for exclusion processes with long jumps | | Patrícia Gonçalves
; Milton Jara
; | | Date: |
19 Mar 2015 | | Abstract: | We show that the stationary density fluctuations of exclusion processes with
long jumps, whose rates are of the form $c^pm |y-x|^{-(1+alpha)}$ where
$cpm$ depends on the sign of $y-x$, are given by a fractional
Ornstein-Uhlenbeck process for $alpha in (0,frac{3}{2})$. When $alpha
=frac{3}{2}$ we show that the density fluctuations are tight, in a suitable
topology, and that any limit point is an energy solution of the fractional
Burgers equation, previously introduced in [13] in the finite volume setting. | | Source: | arXiv, 1503.5838 | | Services: | Forum | Review | PDF | Favorites | |
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