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Effect Of Field Direction And Field Intensity On Directed Spiral Percolation

Author

Listed:
  • SANTANU SINHA

    (Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India)

  • S. B. SANTRA

    (Department of Physics, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India)

Abstract

Directed spiral percolation (DSP) is a new percolation model with crossed external bias fields. Since percolation is a model of disorder, the effect of external bias fields on the properties of disordered systems can be studied numerically using DSP. In DSP, the bias fields are an in-plane directional field(E)and a field of rotational nature(B)applied perpendicular to the plane of the lattice. The critical properties of DSP clusters are studied here varying the direction ofEfield and intensities of bothEandBfields in two-dimensions. The system shows interesting and unusual critical behavior at the percolation threshold. Not only the DSP model is found to belong in a new universality class compared to that of other percolation models but also the universality class remains invariant under the variation ofEfield direction. Varying the intensities of theEandBfields, a crossover from DSP to other percolation models has been studied. A phase diagram of the percolation models is obtained as a function of intensities of the bias fieldsEandB.

Suggested Citation

  • Santanu Sinha & S. B. Santra, 2006. "Effect Of Field Direction And Field Intensity On Directed Spiral Percolation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(09), pages 1285-1302.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:09:n:s0129183106009072
    DOI: 10.1142/S0129183106009072
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