### Abstract

Original language | Undefined |
---|---|

Article number | 1402.6620 |

Journal | arXiv |

State | Published - Feb 26 2014 |

### Keywords

- math-ph
- math.MP

### Cite this

*arXiv*, [1402.6620].

**An extension of the Derrida-Lebowitz-Speer-Spohn equation.** / Bordenave, Charles; Germain, Pierre; Trogdon, Thomas.

Research output: Contribution to journal › Article

*arXiv*.

}

TY - JOUR

T1 - An extension of the Derrida-Lebowitz-Speer-Spohn equation

AU - Bordenave, Charles

AU - Germain, Pierre

AU - Trogdon, Thomas

N1 - 20 pages

PY - 2014/2/26

Y1 - 2014/2/26

N2 - 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.

AB - 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.

KW - math-ph

KW - math.MP

M3 - Article

JO - arXiv

JF - arXiv

M1 - 1402.6620

ER -