MATHEMATICAL SIMULATION OF CLUSTER GROWTH BASED ON VLASOV-LIOUVILLE-MAXWELL EQUATIONS IN MEDIA POSSESSING DISCONTINUITY OF DIELECTRIC PARAMETER

机译：基于VLASOV-LIOUVILLE-MAXWELL方程的介电常数介质不连续性中群增长的数学模拟

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This paper is devoted to the background of Monte-Carlo simulation for clusters growth in the bulk due to polarization effects caused by an internal electric field applied to media possessing a discontinuity of dielectric parameters. The systems of nonlinear equations used in simulation, possess applied significance in mathematical physics, particularly in physical kinetics (Boltzmann and Smoluchowski equations, phase transition models). The nonlinear operators in the above equations are not continuous in Banach spaces specific for these conservation laws. The problems of computations in the above models are also discussed.

机译：本文致力于蒙特卡洛模拟的背景，该模拟是由于内部电场对介电参数不连续的介质施加极化效应而导致的簇生长。用于仿真的非线性方程组在数学物理学中具有重要的应用意义，特别是在物理动力学中（Boltzmann和Smoluchowski方程，相变模型）。上述方程中的非线性算子在这些守恒律特定的Banach空间中不是连续的。还讨论了上述模型中的计算问题。

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《International Conference on Single Crystal Growth and Heat amp; Mass Transfer(ICSC-2003) vol.2; 20030922-26; Obninsk(RU)》|2003年|P.592-601|共10页
会议地点 Obninsk(RU)
作者
Galkin V.A.; Ryzhikov D.A.;
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University of Nuclear Power Engineering (Obninsk, Russia);

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原文格式 PDF
正文语种 eng
中图分类晶体生长工艺;
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MATHEMATICAL SIMULATION OF CLUSTER GROWTH BASED ON VLASOV-LIOUVILLE-MAXWELL EQUATIONS IN MEDIA POSSESSING DISCONTINUITY OF DIELECTRIC PARAMETER

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