Directed Surfaces in Disordered Media
Condensed Matter
2016-08-16 v1
Abstract
The critical exponents for a class of one-dimensional models of interface depinning in disordered media can be calculated through a mapping onto directed percolation (DP). In higher dimensions these models give rise to directed surfaces, which do not belong to the directed percolation universality class. We formulate a scaling theory of directed surfaces, and calculate critical exponents numerically, using a cellular automaton that locates the directed surfaces without making reference to the dynamics of the underlying interface growth models.
Keywords
Cite
@article{arxiv.cond-mat/9601109,
title = {Directed Surfaces in Disordered Media},
author = {A. -L. Barabási and G. Grinstein and M. A. Muñoz},
journal= {arXiv preprint arXiv:cond-mat/9601109},
year = {2016}
}
Comments
4 pages, REVTEX, 2 Postscript figures avaliable from [email protected]