Directed particle diffusion under "burnt bridges" conditions

被引:39
作者
Mai, J [1 ]
Sokolov, IM [1 ]
Blumen, A [1 ]
机构
[1] Univ Freiburg, D-79104 Freiburg, Germany
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 01期
关键词
D O I
10.1103/PhysRevE.64.011102
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study random walks on a one-dimensional lattice that contains weak connections, so-called "bridges." Each time the walker crosses the bridge from the left or attempts to cross it from the right, the bridge may be destroyed with probability p; this restricts the particle's motion and directs it. Our model, which incorporates asymmetric aspects in an otherwise symmetric hopping mechanism. is very akin to "Brownian ratchets" and to front propagation in autocatalytic A +B--->2A reactions. The analysis of the model and Monte Carlo simulations show that for large p the velocity of the directed motion is extremely sensitive to the distribution of bridges, whereas for small p the velocity can be understood based on a mean-field analysis. The single-particle model advanced by us here allows an almost quantitative understanding of the front's position in the A+B-->2A many-particle reaction.
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页数:4
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共 34 条
  • [1] FLUCTUATION EFFECTS ON WAVE-PROPAGATION IN A REACTION-DIFFUSION PROCESS
    BREUER, HP
    HUBER, W
    PETRUCCIONE, F
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1994, 73 (03) : 259 - 273
  • [2] THE MACROSCOPIC LIMIT IN A STOCHASTIC REACTION-DIFFUSION PROCESS
    BREUER, HP
    HUBER, W
    PETRUCCIONE, F
    [J]. EUROPHYSICS LETTERS, 1995, 30 (02): : 69 - 74
  • [3] Shift in the velocity of a front due to a cutoff
    Brunet, E
    Derrida, B
    [J]. PHYSICAL REVIEW E, 1997, 56 (03) : 2597 - 2604
  • [4] FLUCTUATIONS AND CORRELATIONS IN A DIFFUSION-REACTION SYSTEM - EXACT HYDRODYNAMICS
    DOERING, CR
    BURSCHKA, MA
    HORSTHEMKE, W
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1991, 65 (5-6) : 953 - 970
  • [5] The role of protein flexibility in molecular motor function: Coupled diffusion in a tilted periodic potential
    Elston, TC
    Peskin, CS
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (03) : 842 - 867
  • [6] Rectified Brownian movement in molecular and cell biology
    Fox, RF
    [J]. PHYSICAL REVIEW E, 1998, 57 (02): : 2177 - 2203
  • [7] Gray P., 1990, CHEM OSCILLATIONS IN
  • [8] Modeling molecular motors
    Julicher, F
    Ajdari, A
    Prost, J
    [J]. REVIEWS OF MODERN PHYSICS, 1997, 69 (04) : 1269 - 1281
  • [9] Fluctuation effects on chemical wave fronts
    Karzazi, MA
    Lemarchand, A
    Mareschal, M
    [J]. PHYSICAL REVIEW E, 1996, 54 (05): : 4888 - 4895
  • [10] Rectification by hopping motion through nonsymmetric potentials with strong bias
    Kehr, KW
    Mussawisade, K
    Wichmann, T
    Dieterich, W
    [J]. PHYSICAL REVIEW E, 1997, 56 (03) : R2351 - R2354