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Deviation from power law behaviour of persistence probability in radially growing surfaces

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  • Singha, Subhendu B.

Abstract

The behaviour of surface width and persistence probability of rough surfaces belonging to the purely random deposition class is studied analytically in (1+1)-dimensional plane polar geometry. It is observed that, for short time, the surface width follows the same power law growth with time as in flat geometry. But the squared width, at long time, grows logarithmically with time unlike power law growth in flat geometry (as mentioned in Escudero, 2008). The Family-Vicsek dynamic scaling behaviour for width does not hold in both the geometries. Interestingly, in radial growth the persistence probability, at long times, decays logarithmically with time (i.e.P0(t)∼[lnt]−12) which is, to our belief, a new behaviour as contrast to usual power law decay of persistence probability in the systems of fluctuating interfaces.

Suggested Citation

  • Singha, Subhendu B., 2024. "Deviation from power law behaviour of persistence probability in radially growing surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 651(C).
    • Handle: RePEc:eee:phsmap:v:651:y:2024:i:c:s0378437124004977
    DOI: 10.1016/j.physa.2024.129988
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