### 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 language | Undefined |
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Article number | 1402.6620 |

Journal | arXiv |

State | Published - 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].