Generalized random sequential adsorption in one dimension
作者： G J Rodgers , P Singh
DOI: 10.1088/0305-4470/28/4/006
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摘要: The process of random sequential adsorption in one dimension is generalized so that the rate at which a particle placed an empty space dependent on size being destroyed and sizes two spaces created either side particle. We write down equation for this involving p(z), probability choosing to deposit z, F(x,y mod z), length x y are from x+y+z, given z deposited. A scaling theory solutions presented special cases. results numerical simulation third case presented.
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sci-hub.se 参考文章(21)
J. W. Evans, Random and cooperative sequential adsorption Reviews of Modern Physics. ,vol. 65, pp. 1281- 1329 ,(1993) , 10.1103/REVMODPHYS.65.1281
B. Widom, Random Sequential Addition of Hard Spheres to a Volume The Journal of Chemical Physics. ,vol. 44, pp. 3888- 3894 ,(1966) , 10.1063/1.1726548
M Nakamura, Random sequential packing in square cellular structures Journal of Physics A. ,vol. 19, pp. 2345- 2351 ,(1986) , 10.1088/0305-4470/19/12/020
J. W. Evans, D. R. Burgess, D. K. Hoffman, Irreversible random and cooperative processes on lattices: Exact and approximate hierarchy truncation and solution The Journal of Chemical Physics. ,vol. 79, pp. 5011- 5022 ,(1983) , 10.1063/1.445595
J.D. Aptel, J.C. Voegel, A. Schmitt, Adsorption kinetics of proteins onto solid surfaces in the limit of the interfacial interaction control Colloids and Surfaces. ,vol. 29, pp. 359- 371 ,(1988) , 10.1016/0166-6622(88)80147-1
B. Widom, Random sequential filling of intervals on a line The Journal of Chemical Physics. ,vol. 58, pp. 4043- 4044 ,(1973) , 10.1063/1.1679773
G.C. Barker, M.J. Grimson, Random sequential adsorption of lattice shapes onto a square lattice Molecular Physics. ,vol. 63, pp. 145- 157 ,(1988) , 10.1080/00268978800100121
E. Richard Cohen, H. Reiss, Kinetics of Reactant Isolation. I. One‐Dimensional Problems The Journal of Chemical Physics. ,vol. 38, pp. 680- 691 ,(1963) , 10.1063/1.1733723
H. Cory, G. J. Rodgers, A three stage model for adsorption of nonionic surfactants The Journal of Chemical Physics. ,vol. 99, pp. 8908- 8913 ,(1993) , 10.1063/1.465559
Mitsunobu Nakamura, Fractal property of two-dimensional continuum percolation clusters Physical Review A. ,vol. 34, pp. 3356- 3361 ,(1986) , 10.1103/PHYSREVA.34.3356