R Ferrando et al 2005 New J. Phys. 7 19 doi:10.1088/1367-2630/7/1/019
Jump rate and jump probabilities in the two-dimensional strong-collision model
Focus on Brownian Motion and Diffusion in the 21st CenturyR Ferrando1, M Mazroui2, R Spadacini1 and G E Tommei1,3
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The diffusion of a particle in a two-dimensional non-separable periodic potential is studied in the framework of the strong-collision model. In this model, the diffusing particle is subjected to well-separated strong collisions with frequency η. After each collision the particle velocity is suddenly thermalized. The model is studied by numerical simulations. The average jump rate, the probability distribution of the jump lengths and the diffusion coefficient D are calculated depending on η and on the x–y coupling term of the potential. For large η, the x–y coupling term decreases the jump rate, while for small η the opposite trend is found. However, the x–y coupling always suppresses a large proportion of long jumps, causing thus a decrease of the diffusion coefficient for all values of η. In the presence of x–y coupling, in the limit η 
1, there is an indication that D behaves as η−α, with α < 1.
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Issue 1 (January 2005)
Received 31 August 2004
Published 31 January 2005
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Jump rate and jump probabilities in the two-dimensional strong-collision model
R Ferrando et al 2005 New J. Phys. 7 19
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