English

Space-time correlations of a Gaussian interface

Probability 2010-02-09 v1

Abstract

The serial harness introduced by Hammersley is equivalent, in the Gaussian case, to the Gaussian Solid-On-Solid interface model with parallel heat bath dynamics. Here we consider sub-lattice parallel dynamics, and give exact results about relaxation dynamics, based on the equivalence to the infinite time limit of a time periodic random field. We also give a numerical comparison to the harness process in continuous time studied by Hsiao and by Ferrari, Niederhauser and Pechersky.

Cite

@article{arxiv.1002.1604,
  title  = {Space-time correlations of a Gaussian interface},
  author = {Francois M. Dunlop},
  journal= {arXiv preprint arXiv:1002.1604},
  year   = {2010}
}

Comments

18 pages, 3 figures

R2 v1 2026-06-21T14:44:33.931Z