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Article
Zero Tension Kardar-Parisi-Zhang Equation in (d + 1)–Dimensions
Journal of Statistical Mechanics (2004)
  • A. Bahraminasab, Sharif University of Technology
  • S.M. Ali Tabei, University of Northern Iowa
  • A. A. Masoudi, Alzahra University
  • F. Shahbazi, Isfahan University of Technology
  • M. Reza Rahimi Tabar, Sharif University of Technology
Abstract
The joint probability distribution function (PDF) of the height and its gradients is derived for a zero tension d + 1-dimensional Kardar-Parisi-Zhang (KPZ) equation. It is proved that the height's PDF of zero tension KPZ equation shows lack of positivity after a finite time t c . 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 t c and the singularity time scalet c.v→0 of the KPZ equation with an infinitesimal surface tension is investigated.
Disciplines
Publication Date
September, 2004
DOI
10.1023/B:JOSS.0000041747.55551.8b
Citation Information
A. Bahraminasab, S.M. Ali Tabei, A. A. Masoudi, F. Shahbazi, et al.. "Zero Tension Kardar-Parisi-Zhang Equation in (d + 1)–Dimensions" Journal of Statistical Mechanics Vol. 116 Iss. 5 (2004) p. 1521 - 1544
Available at: http://works.bepress.com/sm-tabei/14/