Abstract (may include machine translation)
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. 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.
Original language | English |
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Pages (from-to) | 1481-1484 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 76 |
Issue number | 9 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |