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

A. Bahraminasab·S. M. A. Tabei·A. A. Masoudi·F. Shahbazi·M. Reza Rahimi Tabar
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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 $t_{c, ν\to 0}$ of the KPZ equation with an infinitesimal surface tension is investigated.

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A. Bahraminasab, S. M. A. Tabei, A. A. Masoudi, F. Shahbazi, M. Reza Rahimi Tabar. 2005-04-30. Zero tension Kardar-Parisi-Zhang equation in (d+1)- Dimensions. https://doi.org/10.1023/b%3Ajoss.0000041747.55551.8b

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