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 | |
| 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)