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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Palash Nath & Pradipta Kumar Mandal & Debnarayan Jana, 2015. "Kardar–Parisi–Zhang universality class of a discrete erosion model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(05), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:05:n:s0129183115500497
    DOI: 10.1142/S0129183115500497
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