A new model of the random sequential adsorption has been proposed for the systems of different sizes and with different radii of repulsion of particles. It is simulated by computer, scaling properties of the interface width and the behavior of the coefficient of surface filling are examined, established that scaling exponent of the interface width ? does not depend upon radius of the repulsion of the particles within the system, and scaling exponent ? with increase of repulsion radius of particles is being decreased, their meanings are calculated. A general competitive model of deposit formation based on the combination of the random sequential adsorption deposition (RSAD), ballistic deposition (BD) and random deposition (RD) models is proposed. This model named as RSAD1-S (RDfBD1-f )s allows one to consider different cases of interparticle interactions from complete repulsion between near-neighbors in the RSAD model (s=0), sticking interactions in the BD model (s = 1, f = 0), or the absence of interactions in the RD model (s = 1, f = 1). An ordered structure of the ideal chessboard type was observed for the pure RSAD model (s = 0) in the limit of h ??. At small h, defects in the ordered structure are observed. The concentration of these defects decreases with increasing h in accordance with the critical law ??h-?RSAD, where ?RSAD=0.31?0.02. The packing coefficient p versus system size L was investigated and the scaling parameters and values of p?=p(L??) were determined. Dependences of p versus the parameters of a competitive model, s and f, were studied. The anomalous behavior of the packing coefficient p? with changing the interparticle repulsion was observed, that goes through the minimum with changing the parameter s. Using gravimetric and conductometric methods, the sedimentation kinetics in aqueous suspensions of Alekseev kaolin has been studied for pH value range from 4 to 10. It has been found that pH increasing leads to the decreasing of mean radii of flocks linearly. The polydisperse characteristics, such as the number of fractions, minimum, maximum and mean radii of flocks have been calculated for pH = 4, 6.25, 7.05, 9.05, 10. We found that sedimentation kinetics for intermediate pH values (6.25, 7.05, 9.05) can be described by scaling equations that crossover time defined transition from a gravitational mechanism of deposition to the diffusion one.
