Inhomogeneous random sequential adsorption on a lattice |
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Authors: | J K Percus |
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Institution: | (1) Courant Institute of Mathematical Sciences and Physics Department, New York University, 10012 New York, New York |
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Abstract: | We study idealized random sequential adsorption on a lattice, with adsorption probabilities inhomogeneous both in space and in time, and including the possibility of cooperativity. Attention is directed to the mean occupancy of a given site as a function of time, which is represented by a weighted random walk on the lattice. In the special case of nearest neighbor exclusion, the walk is transformed to one in which only neighbors of occupied sites can be occupied, but with a renormalized probability. Reduction theorems are presented, with which the general case of a tree lattice is completely solved in inverse form. |
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Keywords: | Random sequential adsorption irreversible kinetics nonuniform lattice simply connected network inverse response |
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