Zero Tension Kardar-Parisi-Zhang Equation in (d + 1)–DimensionsJournal of Statistical Mechanics (2004)
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 DateSeptember, 2004
Citation InformationA. 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/