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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
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.
Publication Date
September, 2004
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
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