Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-10-03
J. Stat. Mech.: Theor. Exp. P10013. (2005).
Physics
Condensed Matter
Statistical Mechanics
Submitted to J. Stat. Mech. 9 pages. 4 Figures
Scientific paper
10.1088/1742-5468/2005/10/P10013
We introduce a Langevin equation describing the pinning-depinning phase transition experienced by Kardar-Parisi-Zhang interfaces in the presence of a bounding ``lower-wall''. This provides a continuous description for this universality class, complementary to the different and already well documented one for the case of an ``upper-wall''. The Langevin equation is written in terms of a field that is not an order-parameter, in contrast to standard approaches, and is studied both by employing a systematic mean-field approximation and by means of a recently introduced efficient integration scheme. Our findings are in good agreement with known results from microscopic models in this class, while the numerical precision is improved. This Langevin equation constitutes a sound starting point for further analytical calculations, beyond mean-field, needed to shed more light on this poorly understood universality class.
Hammal Omar Al
los Santos Francisco de
Munoz Miguel A.
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