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Phase transition in equilibrium fluctuations of symmetric slowed exclusion | | Tertuliano Franco
; Patricia Gonçalves
; Adriana Neumann
; | | Date: |
21 Jan 2013 | | Abstract: | We analyze the equilibrium fluctuations of the density, current and tagged
particle in symmetric exclusion with a slow bond. The system evolves in the
one-dimensional lattice and the jump rate is everywhere equal to one except at
the slow bond where it is $alpha n^-eta$, where $alpha,etageq{0}$ and
$n$ is the scaling parameter. Depending on the regime of $eta$, we find three
different behaviors for the limiting fluctuations whose covariances are
explicitly computed. In particular, for the critical value $eta=1$, starting
a tagged particle near the slow bond, we obtain a family of gaussian processes
indexed in $alpha$, interpolating a fractional brownian motion of Hurst
exponent 1/4 and the degenerate process equal to zero. | | Source: | arXiv, 1301.4935 | | Services: | Forum | Review | PDF | Favorites | |
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