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BIASED DIFFUSION: TRAP ANALYSIS IN TWO DIMENSIONS

Alexander Kirsch ()
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Alexander Kirsch: Institute for Theoretical Physics, Cologne University, 50923 Köln, Germany

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 04, 753-757

Abstract: A method for analyzing clusters which block the random walk of particles in two-dimensional biased diffusion on percolation lattices above the percolation thresholdpcis presented, focusing on the arising problems and explaining the phase transition. The difficulties in a precise trap definition are illustrated. Different trap definitions result in different trap statistics, more or less capable of capturing the trend of the phase diagram.

Keywords: Percolation; Monte Carlo; Random walks; Biased diffusion; Phase transition (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000577

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