Fluctuation bounds in the exponential bricklayers process
Abstract
This paper is the continuation of our earlier paper, where we proved t^{1/3}-order of current fluctuations across the characteristics in a class of one dimensional interacting systems with one conserved quantity. We also claimed two models with concave hydrodynamic flux which satisfied the assumptions which made our proof work. In the present note we show that the totally asymmetric exponential bricklayers process also satisfies these assumptions. Hence this is the first example with convex hydrodynamics of a model with t^{1/3}-order current fluctuations across the characteristics. As such, it further supports the idea of universality regarding this scaling.
Cite
@article{arxiv.1107.4752,
title = {Fluctuation bounds in the exponential bricklayers process},
author = {Márton Balázs and Júlia Komjáthy and Timo Seppäläinen},
journal= {arXiv preprint arXiv:1107.4752},
year = {2012}
}
Comments
34 pages, revised version after referees comments, accepted at JSP. A few explanations added, some proofs shortened in the Appendix