Anisotropic model of kinetic roughening: he strong-coupling regime

Research output: Contribution to journalArticle

Abstract

We study the strong coupling (SC) limit of the anisotropic Kardar-Parisi-Zhang (KPZ) model. A systematic mapping of the continuum model to its lattice equivalent shows that in the SC limit, anisotropic perturbations destroy all spatial correlations but retain a temporal scaling which shows a remarkable crossover along one of the two spatial directions, the choice of direction depending on the relative strength of anisotropicity. The results agree with exact numerics and are expected to settle the long-standing SC problem of a KPZ model in the infinite range limit. © 2007 The American Physical Society.
Original languageEnglish
Article number050103
Number of pages4
JournalPhysical Review E
Volume76
Issue number5
DOIs
Publication statusPublished - 27 Nov 2007

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Strong Coupling
Kinetics
kinetics
Continuum Model
Spatial Correlation
Numerics
Crossover
crossovers
Model
Scaling
continuums
Perturbation
scaling
perturbation
Range of data

Keywords

  • anisotropy
  • continuum mechanics
  • crystal lattices
  • numerical analysis
  • perturbation techniques
  • anisotropic Kardar-Parisi-Zhang (KPZ) model
  • strong coupling (SC) regime
  • temporal scaling
  • surface roughness

Cite this

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abstract = "We study the strong coupling (SC) limit of the anisotropic Kardar-Parisi-Zhang (KPZ) model. A systematic mapping of the continuum model to its lattice equivalent shows that in the SC limit, anisotropic perturbations destroy all spatial correlations but retain a temporal scaling which shows a remarkable crossover along one of the two spatial directions, the choice of direction depending on the relative strength of anisotropicity. The results agree with exact numerics and are expected to settle the long-standing SC problem of a KPZ model in the infinite range limit. {\circledC} 2007 The American Physical Society.",
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Anisotropic model of kinetic roughening : he strong-coupling regime. / Chattopadhyay, Amit K.

In: Physical Review E, Vol. 76, No. 5, 050103, 27.11.2007.

Research output: Contribution to journalArticle

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T1 - Anisotropic model of kinetic roughening

T2 - he strong-coupling regime

AU - Chattopadhyay, Amit K.

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AB - We study the strong coupling (SC) limit of the anisotropic Kardar-Parisi-Zhang (KPZ) model. A systematic mapping of the continuum model to its lattice equivalent shows that in the SC limit, anisotropic perturbations destroy all spatial correlations but retain a temporal scaling which shows a remarkable crossover along one of the two spatial directions, the choice of direction depending on the relative strength of anisotropicity. The results agree with exact numerics and are expected to settle the long-standing SC problem of a KPZ model in the infinite range limit. © 2007 The American Physical Society.

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KW - crystal lattices

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KW - perturbation techniques

KW - anisotropic Kardar-Parisi-Zhang (KPZ) model

KW - strong coupling (SC) regime

KW - temporal scaling

KW - surface roughness

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