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
General Physics and Astronomy

Access to Document

10.1088/1751-8113/48/48/485205

Cite this

@article{8635e96b8f6b4e13815e7c4db9d7c486,

title = "An extension of the Derrida-Lebowitz-Speer-Spohn equation",

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.",

keywords = "Derrida-Lebowitz-Speer-Spohn equation, KPZ universality, TracyWidom distribution, nonlinear diffusion",

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

note = "Publisher Copyright: {\textcopyright} 2015 IOP Publishing Ltd.",

year = "2015",

month = nov,

day = "6",

doi = "10.1088/1751-8113/48/48/485205",

language = "English (US)",

volume = "48",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "48",

}

TY - JOUR

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

AU - Bordenave, Charles

AU - Germain, Pierre

AU - Trogdon, Thomas

PY - 2015/11/6

Y1 - 2015/11/6

N2 - 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 - 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

UR - http://www.scopus.com/inward/record.url?scp=84948418202&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84948418202&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/48/48/485205

DO - 10.1088/1751-8113/48/48/485205

M3 - Article

AN - SCOPUS:84948418202

SN - 1751-8113

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 48

M1 - 485205

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this