 A random walk on spheres based kinetic Monte Carlo method for simulation of the fluctuation-limited bimolecular reactionsKarl K. Sabelfeld Mathematics and Computers in Simulation (MATCOM), 2018, vol. 143, issue C, 46-56 Abstract: To simulate spatially inhomogeneous bimolecular reactions driven by diffusion and tunneling we suggest a new stochastic algorithm which combines the well known Random Walk on Spheres (RWS) method and the kinetic Monte Carlo algorithm. This drastically decreases the computer time in the case of diffusion, and especially for low concentrations. This is the case, for instance, when the annihilation of spatially separate electrons and holes in a disordered semiconductor is studied. The method treats all kinds of reactions involved in a unified stochastic kinetic scheme. In particular, along the diffusion and tunneling, nonradiative recombinations in defect sites are taken into account. To validate the simulation algorithm, we compare our simulation results with the asymptotics of the intensity of annihilation which is known from theoretical predictions. Also, we compare the stochastic algorithms with finite-difference methods. Keywords: Fluctuation-limited reactions; Reaction–diffusion kinetics; Electron–hole kinetics; Photoluminescence; Nonradiative recombination (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:143:y:2018:i:c:p:46-56 DOI: 10.1016/j.matcom.2016.03.011 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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