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http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/8183| Title: | Critical behavior of a bounded Kardar-Parisi-Zhang equation |
| Issue Date: | 1-Jun-2013 |
| Publisher: | Sociedade Brasileira de Física |
| Description: | A host of spatially extended systems, both in physics and in other disciplines, are well described at a coarse-grained scale by a Langevin equation with multiplicative-noise. Such systems may exhibit nonequilibrium phase transitions, which can be classified into universality classes. Here we study in detail one such class that can be mapped into a Kardar-Parisi-Zhang (KPZ) interface equation with a positive (negative) non-linearity in the presence of a bounding lower (upper) wall. The wall limits the possible values taken by the height variable, introducing a lower (upper) cut-off, and induces a phase transition between a pinned (active) and a depinned (absorbing) phase. This transition is studied here using mean field and field theoretical arguments, as well as from a numerical point of view. Its main properties and critical features, as well as some challenging theoretical difficulties, are reported. The differences with other multiplicative noise and bounded-KPZ universality classes are stressed, and the effects caused by the introduction of "attractive" walls, relevant in some physical contexts, are also analyzed. |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/8183 |
| Other Identifiers: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000300005 http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2003&volume=33&issue=3&spage=443 |
| Appears in Collections: | Physics and Astronomy |
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