The Upper Critical Dimension of the KPZ Equation
| dc.creator | Lassig, Michael | |
| dc.creator | Kinzelbach, Harald | |
| dc.date | 1996-08-22 | |
| dc.date.accessioned | 2026-07-07T03:08:49Z | |
| dc.date.available | 2026-07-07T03:08:49Z | |
| dc.description | The strong-coupling regime of Kardar-Parisi-Zhang surface growth driven by short-ranged noise has an upper critical dimension d_> less or equal to four (where the dynamic exponent z takes the value z (d_>) = 2). To derive this, we use the mapping onto directed polymers with quenched disorder. Two such polymers coupled by a small contact attraction are shown to form a bound state at all temperatures below the roughening temperature of a single polymer. Comparing the singularities of the localization length at and below the critical temperature yields d_> \leq 4. | |
| dc.description | 4 pages, revtex, no figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9608099 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9608099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27650 | |
| dc.subject | Condensed Matter | |
| dc.title | The Upper Critical Dimension of the KPZ Equation | |
| dc.type | text |