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Zero Tension Kardar-Parisi-Zhang Equation in (d + 1)–Dimensions |
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| Authors: | Bahraminasab A Tabei S M A Masoudi A A Shahbazi F Reza Rahimi Tabar M |
| Institution: | 1.Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran ;2.Department of Physics, Alzahra University, Tehran, 19834, Iran ;3.Department of Physics, Isfahan University of Technology, Isfahan, Iran ;4.CNRS UMR 6529, Observatoire de la C?te d'Azur, BP 4229, 06304, Nice Cedex 4, France; e-mail: ; |
| 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 scale t c.v→0 of the KPZ equation with an infinitesimal surface tension is investigated. |
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