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].

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

In: arXiv, 26.02.2014.

Research output: Contribution to journalArticle

Bordenave C, Germain P, Trogdon T. An extension of the Derrida-Lebowitz-Speer-Spohn equation. arXiv. 2014 Feb 26. 1402.6620.
@article{7e0b44894acd489ba8c9833531a00e8a,
title = "An extension of the Derrida-Lebowitz-Speer-Spohn equation",
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 = "math-ph, math.MP",
author = "Charles Bordenave and Pierre Germain and Thomas Trogdon",
note = "20 pages",
year = "2014",
month = "2",
day = "26",
language = "Undefined",
journal = "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 -