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Diffusion Under Crossed Local And Global Biases In Disordered Systems

Author

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  • SITANGSHU BIKAS SANTRA

    (Department of Physics, Indian Institute of Technology, Kanpur 208016, India;
    Texas A & M University at Galveston, TX553-1675, U.S.A.)

  • WILLIAM A. SEITZ

    (Texas A & M University at Galveston, TX553-1675, U.S.A.)

Abstract

Diffusion on 2D site percolation clusters atp = 0.7, 0.8, and 0.9 abovepcon the square lattice in the presence of two crossed bias fields, a local biasBand a global biasE, has been investigated. The global biasEis applied in a fixed global direction whereas the local biasBimposes a rotational constraint on the motion of the diffusing particle. The rms displacementRt~ tkin the presence of both biases is studied. Depending on the strength ofEandB, the behavior of the random walker changes from diffusion to drift to no-drift or trapping. There is always diffusion for finiteBwith no global bias. A crossover from drift to no-drift at a critical global biasEcis observed in the presence of local biasBfor all disordered lattices. At the crossover, value of the rms exponent changes fromk = 1tok

Suggested Citation

  • Sitangshu Bikas Santra & William A. Seitz, 2000. "Diffusion Under Crossed Local And Global Biases In Disordered Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(07), pages 1357-1369.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:07:n:s0129183100001188
    DOI: 10.1142/S0129183100001188
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