The Non-local Kardar-Parisi-Zhang Equation With Spatially Correlated Noise

Details The Non-local Kardar-Parisi-Zhang Equation With Spatially Correlated Noise The Non-local Kardar-Parisi-Zhang Equation With Spatially Correlated Noise

1999-02-13

arxiv.org/abs/cond-mat/9902194v1

Physics

Condensed Matter

Statistical Mechanics

Plain Latex, 10 pages, 2 figures in one ps file

Scientific paper

10.1103/PhysRevE.60.293

The effects of spatially correlated noise on a phenomenological equation equivalent to a non-local version of the Kardar-Parisi-Zhang equation are studied via the dynamic renormalization group (DRG) techniques. The correlated noise coupled with the long ranged nature of interactions prove the existence of different phases in different regimes, giving rise to a range of roughness exponents defined by their corresponding critical dimensions. Finally self-consistent mode analysis is employed to compare the non-KPZ exponents obtained as a result of the long range -long range interactions with the DRG results.

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