Directed Surfaces in Disordered Media

Details Directed Surfaces in Disordered Media Directed Surfaces in Disordered Media

1996-01-23

arxiv.org/abs/cond-mat/9601109v1

Physics

Condensed Matter

4 pages, REVTEX, 2 Postscript figures avaliable from alb@nd.edu

Scientific paper

10.1103/PhysRevLett.76.1481

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.

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