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Conserved Kardar-Parisi-Zhang equation: Role of quenched disorder in determining universality
1Barasat Government College, 10, KNC Road, Gupta Colony, Barasat, Kolkata 700124, West Bengal, India and Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Calcutta 700064, West Bengal, India.
Abstract:
We study the stochastically driven conserved Kardar-Parisi-Zhang (CKPZ) equation with quenched disorders. Short-ranged quenched disorders are found to be a relevant perturbation on the pure CKPZ equation at one dimension and, as a result, a different universality class different from pure CKPZ equation appears to emerge. At higher dimensions, quenched disorder turns out to be ineffective to influence the universal scaling. This results in the asymptotic long wavelength scaling to be given by the linear theory, a scenario identical with the pure CKPZ equation. For sufficiently long-ranged quenched disorders, the universal scaling is impacted by the quenched disorder even at higher dimensions.
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