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 |
|---|---|
| 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 |