Existence of the upper critical dimension of the Kardar-Parisi-Zhang equation
| dc.creator | Katzav, Eytan | |
| dc.creator | Schwartz, Moshe | |
| dc.date | 2000-12-07 | |
| dc.date | 2001-04-06 | |
| dc.date.accessioned | 2026-07-07T09:33:32Z | |
| dc.date.available | 2026-07-07T09:33:32Z | |
| dc.description | The controversy whether or not he Kardar-Parisi-Zhang (KPZ) equation has an upper critical dimension (UCD) is going on for quite a long time. Some approximate integral equations for the two-point function served as an indication for the existence of a UCD, by obtaining a dimension, above which the equation does not have a strong coupling solution. A surprising aspect of these studies, however, is that variuos authors that considered the same equation produced large variations in the UCD. This caused some doubts concerning the existence of a UCD. Here we revisit these calculations, describe the reason for such large variations in the results of identical calculations, show by a large-d expansion that indeed there exist a UCD and then obtain it numerically by properly defining the integrals involved. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0012103 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0012103 | |
| dc.identifier | Physica A 309, 69 (2002) | |
| dc.identifier | doi:10.1016/S0378-4371(02)00553-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159162 | |
| dc.subject | Materials Science | |
| dc.subject | Statistical Mechanics | |
| dc.title | Existence of the upper critical dimension of the Kardar-Parisi-Zhang equation | |
| dc.type | text |