GENERALIZED RANDOM SEQUENTIAL ADSORPTION IN ONE-DIMENSION

The process of random sequential adsorption in one dimension is generalized so that the rate at which a particle is placed in an empty space is dependent on the size of the space being destroyed and on the sizes of the two spaces created on either side of the particle. We write down the equation for this process involving p(z), the probability of choosing to deposit a particle of size z, and F(x,y/z), the rate at which spaces of length x and y are created from a space of length x + y + z, given that a particle of size z is deposited. A scaling theory is given for this process and solutions are presented For two special cases. The results of a numerical simulation of a third case are presented.