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

Charles Bordenave; Pierre Germain; Thomas Trogdon

doi:10.1088/1751-8113/48/48/485205

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

Charles Bordenave, Pierre Germain, Thomas Trogdon

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	485205
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	48
DOIs	https://doi.org/10.1088/1751-8113/48/48/485205
State	Published - 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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keywords = "Derrida-Lebowitz-Speer-Spohn equation, KPZ universality, TracyWidom distribution, nonlinear diffusion",

author = "Charles Bordenave and Pierre Germain and Thomas Trogdon",

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AU - Trogdon, Thomas

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AB - 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 - Derrida-Lebowitz-Speer-Spohn equation

KW - KPZ universality

KW - TracyWidom distribution

KW - nonlinear diffusion

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

Abstract

Keywords

ASJC Scopus subject areas

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