کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
979304 | 1480185 | 2009 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Diffusion-controlled reaction on a one dimensional lattice: Dependence on jump and reaction probabilities Diffusion-controlled reaction on a one dimensional lattice: Dependence on jump and reaction probabilities](/preview/png/979304.png)
In an earlier study [J.C. Lewis, H. Wheeler, Physica A 271 (1999) 63–86] of the dependence on jump probability pp of the rates of diffusion-controlled reactions on simple cubic lattices in dimension 2≤d≤42≤d≤4 we found that the dependence was non-linear, which is not in accord with what would be expected on the basis of theories of such reactions in continua [M. von Smoluchowski, Wien. Ber. 124 (1915) 263; Phys. Zeit. 17 (1916) 557–585; Z. Phys. Chem. 92 (1917) 129; S. Chandrasekhar, Revs. Modern Phys. 15 (1) (1943) 1–89]. In the present work we examine the d=1d=1 case. Jump probabilities less than one are of particular importance in that the p=1p=1 case, in which all particles move simultaneously, is not physical.A recursive solution for the concentration of reactant SS as a function of time and of jump probability 0
Journal: Physica A: Statistical Mechanics and its Applications - Volume 388, Issues 15–16, 1–15 August 2009, Pages 3001–3016