Simulation Studies for Random Sequential Adsorption in Narrow Slit:Two-Dimensional Parking Model

摘要

A parking configuration for cars or hard-rods of equal length on an infinite line,popularly known as the random car parking problem,is the classical one-dimensional version of random sequential adsorption (RSA) process.The statistical properties of parking configurations obtained by the random parking problem were first studied by A.Renyi.When the largest gap between two successive rods is less than the length of a rod,the parking is full or jamming.During the RSA process,particles are deposited at random positions,one at each time step,with the restriction that overlapping with pre-deposited particles is forbidden.