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Physica A: Statistical Mechanics and its Applications, Vol. 390, No. 14. (July 2011), pp. 2655-2663, doi:10.1016/j.physa.2011.02.044 Key: citeulike:9274354
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We present results of theoretical and computer studies of the kinetics of chain-like aggregate formation in suspensions of non-Brownian magnetizable particles. An analytical model for calculation of the time-dependent function of distribution over chain size is suggested. This model describes the evolution of the chain structure due to the chain–chain aggregation. In order to verify this model we have compared it with the results of computer simulations of a two-dimensional model of this suspension. Results of computer simulations and of the analytical model are in reasonable agreement up to 5% of the surface concentration of the particles. ⺠Kinetics of the chain aggregation in suspensions of non Brownian magnetizable particles is studied theoretically. ⺠Mathematical model of the chaining is based on a system of differential equations with respect to function of distribution over number of particles in the chains. ⺠This model is verified with a help of computer simulations of the process. ⺠Good agreement between the analytical model and computer simulations is achieved for systems where concentration of the particles is about 1–3 per cent.
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