Alexander I. Levykin

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Stochastic algorithms for solving Smolouchovsky equation governing the coagulation processes are constructed. The derivation of the method is based on the interrelation between the Boltzmann type nonlinear equations and the Kolmogorov linear equation for the Markov processes. The justification is proposed under the molecule chaos hypothesis. We discuss(More)
| Forward and backward stochastic Lagrangian trajectory simulation methods are developed to calculate the footprint and cumulative footprint functions of concentration and ®uxes in the case when the ground surface has an abrupt change of the roughness height. The statistical characteristics to the stochastic model are extracted numerically from a closure(More)
We develop a new version of the direct simulation Monte Carlo method for coagulation processes governed by homogeneous Smoluchowsky equations. The method is based on a subdivision of the set of particle pairs into classes, and on an efficient algorithm for sampling from a discrete distribution, the so-called Walker’s alias method. The efficiency of the new(More)
Astochastic algorithm for simulation of uctuation-induced reaction-di usion kinetics is presented and further developed following our previous study [15] where this method was used to describe the annihilation of spatially separate electrons and holes in a disordered semiconductor. This model is based on the spatially inhomogeneous, nonlinear Smoluchowski(More)
Based on a stochastic algorithm for simulation of annihilation of spatially separate electrons and holes in a disordered semiconductor, we present numerical results for the photon flux and luminescence in semiconductors. The model is based on the spatially inhomogeneous, nonlinear Smoluchowski equations with random initial distribution density. In the talk(More)
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