Order of current variance and diffusivity in the asymmetric simple exclusion process

Marton Balazs, Timo Seppalainen

Research output: Contribution to journalArticle (Academic Journal)

27 Citations (Scopus)

Abstract

We prove anomalous, t^1/3 scaling of current fluctuations in the partially
asymmetric simple exclusion process. This has been conjectured and open for a
long time, and proven only for the totally asymmetric version in the previous
few years. Our proof was the first instance of a partially asymmetric process'
anomalous scaling. Our methods were different from most of those used for
similar processes, and indeed could later be generalized to various other
models as well.
Original languageEnglish
Pages (from-to)1237-1265
Number of pages28
JournalAnnals of Mathematics
Volume171
Issue number2
DOIs
Publication statusPublished - Mar 2010

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