Abstract
A model for a growing surface in the presence of anomalous diffusion, known as the fractal Kardar-Parisi-Zhang equation (FKPZ) was studied. The equation included a fractional Laplacian which accounted for the possibility that the cause of surface transport was a hopping mechanism of a Levy flight. To predict the critical exponents for the FKPZ model for any choice of the parameters and any spatial dimension, the self-consistent expansion (SCE) was used for the purpose.
| Original language | English |
|---|---|
| Article number | 031607 |
| Pages (from-to) | 316071-316075 |
| Number of pages | 5 |
| Journal | Physical Review E |
| Volume | 68 |
| Issue number | 3 1 |
| State | Published - Sep 2003 |
| Externally published | Yes |