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||American English|
|Number of pages||5|
|Journal||Physical Review E|
|Issue number||3 1|
|State||Published - Sep 2003|