An extension of the Derrida-Lebowitz-Speer-Spohn equation
Mathematical Physics
2015-04-21 v2 math.MP
Abstract
Derrida, Lebowitz, Speer and Spohn have proposed a simplified model to describe the low temperature Glauber dynamics of an anchored Toom interface. We show how the derivation of the Derrida-Lebowitz-Speer-Spohn equation can be prolonged to obtain a new equation, generalizing the models obtained in the paper by these authors. We then investigate its properties from both an analytical and numerical perspective. Specifically, a numerical method is presented to approximate solutions of the prolonged equation. Using this method, we investigate the relationship between the solutions of the prolonged equation and the Tracy--Widom GOE distribution.
Keywords
Cite
@article{arxiv.1402.6620,
title = {An extension of the Derrida-Lebowitz-Speer-Spohn equation},
author = {Charles Bordenave and Pierre Germain and Thomas Trogdon},
journal= {arXiv preprint arXiv:1402.6620},
year = {2015}
}
Comments
20 pages