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

Charles Bordenave, Pierre Germain, Thomas Trogdon

Research output: Contribution to journalArticle

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.
Original languageUndefined
Article number1402.6620
JournalarXiv
StatePublished - Feb 26 2014

Keywords

  • math-ph
  • math.MP

Cite this

Bordenave, C., Germain, P., & Trogdon, T. (2014). An extension of the Derrida-Lebowitz-Speer-Spohn equation. arXiv, [1402.6620].