An extension of the Derrida–Lebowitz–Speer–Spohn equation. (6th November 2015)

• Record Type: Journal Article
• Authors: Bordenave, Charles; Germain, Pierre; Trogdon, Thomas
• Is Part Of: Journal of physics. Volume 48:Number 48(2015)
• Publication Date: 2015-11-06
• Subjects: nonlinear diffusion -- Derrida–Lebowitz–Speer–Spohn equation -- Tracy–Widom distribution -- KPZ universality; 35K35 -- 35K55 -- 82C22 -- 60K35; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/48/485205
• Languages: English
• ISSNs: 1751-8113

Abstract

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.