Fractional systems and fractional Bogoliubov hierarchy equations.
Fractional systems and fractional Bogoliubov hierarchy equations.
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DOI：
10.1103/physreve.71.011102
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发表时间：
2005-05
期刊：
影响因子：
--
通讯作者：
V. E. Tarasov
中科院分区：
文献类型：
--
作者：
V. E. Tarasov
我们考虑相体积，体积元和泊松括号的分数推广。这些推广将我们引向相空间的分数模拟。我们认为系统在这个分数相空间和分数类似的汉密尔顿方程。提出了平均值的分数推广。Bogoliubov族方程的分数阶类似物是从分数阶Liouville方程导出的。定义了分数阶约化分布函数。分数模拟的Vlasov方程和德拜半径被认为是。
We consider the fractional generalizations of the phase volume, volume element, and Poisson brackets. These generalizations lead us to the fractional analog of the phase space. We consider systems on this fractional phase space and fractional analogs of the Hamilton equations. The fractional generalization of the average value is suggested. The fractional analogs of the Bogoliubov hierarchy equations are derived from the fractional Liouville equation. We define the fractional reduced distribution functions. The fractional analogs of the Vlasov equation and the Debye radius are considered.