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Article overview
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Stochastic Burgers equation from long range exclusion interactions | Patricia Gonçalves
; Milton Jara
; | Date: |
21 Jun 2016 | Abstract: | We consider one-dimensional exclusion processes with long jumps given by a
transition probability of the form $p_n(cdot)=s(cdot)+gamma_na(cdot)$, such
that its symmetric part $s(cdot)$ is irreducible with finite variance and its
antisymmetric part is absolutely bounded by $s(cdot).$ We prove that under
diffusive time scaling and strength of asymmetry $sqrt n gamma_n
o_{n oinfty} b
eq 0$, the equilibrium density fluctuations are given by
the unique energy solution of the stochastic Burgers equation. | Source: | arXiv, 1606.6655 | Services: | Forum | Review | PDF | Favorites |
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