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

Charles Bordenave, Pierre Germain, Thomas Trogdon

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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
StatePublished - Feb 26 2014


  • math-ph
  • math.MP

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