Kardar–Parisi–Zhang universality class of a discrete erosion model

Palash Nath (), Pradipta Kumar Mandal () and Debnarayan Jana ()
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Palash Nath: Department of Physics, University of Calcutta, 92 A. P. C. Road, Kolkata – 700009, India
Pradipta Kumar Mandal: Department of Physics, Scottish Church College, 1&3 Urquhart Square, Kolkata – 700006, India
Debnarayan Jana: Department of Physics, University of Calcutta, 92 A. P. C. Road, Kolkata – 700009, India

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 05, 1-11

Abstract: We investigate a novel(d + 1)-dimensional discrete erosion model ford = 1, 2 and 3. The dynamics of the model is controlled by the physically motivated erosion mechanism. The coarse grained nature of this erosion process has been well compared with the Kardar–Parisi–Zhang (KPZ) equation. The kinetic roughening of the discrete model shows the same scaling behavior as that of the KPZ equation in the dimensionsd = 1, 2. Moreover, in this present discrete model in (3 + 1)-dimension almost smooth interface has been obtained with vanishingly small roughness exponent, indicating the model belongs to the weak coupling regime of KPZ universality class.

Keywords: Kinetic roughening; discrete model; universality class; 68.35.Ct; 64.60.al; 61.43.Hv; 05.40.-a (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115500497

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