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EFFECT OF FIELD DIRECTION AND FIELD INTENSITY ON DIRECTED SPIRAL PERCOLATION

Santanu Sinha and S. B. Santra ()
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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

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 09, 1285-1302

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.

Keywords: Disordered systems; percolation; external bias fields; anisotropy; critical exponents; universality (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009072

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