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arXiv 1002.4698math-phmath.MP
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连续系统随机动力学的Vlasov标度

Vlasov scaling for stochastic dynamics of continuous systems

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy

摘要:

我们描述了一个一般计划推导的Vlasov型方程的马尔可夫演化的粒子系统在连续。该方案是基于相应的马尔可夫生成器的适当缩放,并有一个相关的关联函数方程的层次链的算法实现。在特定的模型中所提出的方法的实现的几个例子。

英文摘要:

We describe a general scheme of derivation of the Vlasov-type equations for Markov evolutions of particle systems in continuum. This scheme is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of related hierarchical chains of correlation functions equations. Several examples of the realization of the proposed approach in particular models are presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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