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

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. An important nontrivial property of the RSA model is that this irreversible process reaches the jamming limit at large time, and, as a non-Markovian chain sequence, the saturated jamming state depends on the initial configuration. In contrast, the equilibrium fluids exhibit the Markovian stochastic properties, in which the final state has no memory effect from the initial state. The main features observed in the onedimensional car parking problem persist in various systems of higher-order dimensions. The fundamental and application of the RSA process on this subject has been the central topic of reviews 2 and books. 3 The qualitative and quantitative relevance of higher dimensional RSA has been demonstrated in various research areas including proteins, colloidal particles, polymer chains, granular materials, etc. 4 Very recently, by employing both numerical and theoretical methods, Torquato and his coworkers 5 have made the systematic investigation for the RSA packing in Euclidean space over six hyper-dimensional systems. Except for the one-dimensional case, there is no exact analytic solution to the RSA problem because the complicated form of the probability density involved in two or more dimensional systems imposes the non-trivial generalization of the theoretical formalism in statistical thermodynamics. When the system dimensionality of the substrate becomes higher, one can often obtain the detailed structures and kinetics of the RSA model using the computer simulation method. As an extremely useful diagnostic approach, simulation results can provide essentially exact data for precisely defined model systems. 6