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Observation of nonuniversal scaling exponent in a novel erosion model

Author

Listed:
  • Palash Nath

    (Department of Physics, University of Calcutta, 92 A. P. C. Road, Kolkata 700009, India)

  • Debnarayan Jana

    (Department of Physics, University of Calcutta, 92 A. P. C. Road, Kolkata 700009, India)

Abstract

In this present numerical work, we report a discrete erosion kind of model in (1 + 1)-dimension. Erosion and re-deposition phenomena with probabilitiespandq(= 1 - p)are considered as two tunable parameters, which control the overall kinetic roughening behavior of the interface. Redeposition or diffusion dominated erosion like kinetic roughening model gives rise to nonuniversal growth exponent, which varies continuously with respect to erosion probability. However, universal character is restored for the roughness exponent with the value of 0.5 in (1 + 1)-dimension with respect top. Due to nonuniversal nature of growth exponent, we observe a significant modification to the scaling behavior of surface width with respect to erosion probability. For low erosion probability (≲ 0.1) a power law like divergence has been observed of the correlation growth time. This can be argued as limiting behavior of a generalized functional behavior of crossover time with erosion probability.

Suggested Citation

  • Palash Nath & Debnarayan Jana, 2015. "Observation of nonuniversal scaling exponent in a novel erosion model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(10), pages 1-13.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:10:n:s0129183115501156
    DOI: 10.1142/S0129183115501156
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