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Zero tension Kardar-Parisi-Zhang equation in (d + 1)-dimensions

Bahraminasab, A ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1023/B:JOSS.0000041747.55551.8b
  3. Publisher: 2004
  4. Abstract:
  5. The joint probability distribution function (PDF) of the height and its gradients is derived for a zero tension d + 1-dimensional Kardar-Parisi-Zliang (KPZ) equation. It is proved that the height's PDF of zero tension KPZ equation shows lack of positivity after a finite time tc. The properties of zero tension KPZ equation and its differences with the case that it possess an infinitesimal surface tension is discussed. Also potential relation between the time scale tc and the singularity time scale tc,v→0 of the KPZ equation with an infinitesimal surface tension is investigated. © 2004 Springer Science+Business Media, Inc
  6. Keywords:
  7. Probability distribution function ; Singularity time scale ; Strong coupling limit ; The Kardar-Parisi-Zhang equation
  8. Source: Journal of Statistical Physics ; Volume 116, Issue 5-6 , 2004 , Pages 1521-1544 ; 00224715 (ISSN)
  9. URL: https://link.springer.com/article/10.1023/B:JOSS.0000041747.55551.8b