All Title Author
Keywords Abstract

Physics  2014 

An extension of the Derrida-Lebowitz-Speer-Spohn equation

Full-Text   Cite this paper   Add to My Lib

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.

Full-Text

comments powered by Disqus