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

Charles Bordenave, Pierre Germain, Thomas Trogdon

Research output: Contribution to journalArticle

Abstract

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 languageEnglish (US)
Article number485205
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number48
DOIs
StatePublished - Nov 6 2015

Keywords

  • Derrida-Lebowitz-Speer-Spohn equation
  • KPZ universality
  • TracyWidom distribution
  • nonlinear diffusion

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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