Variational aspect and kinetic theory of locally conformal dynamics

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
Oğul Esen, Ayten Gezici, Hasan Gümral
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引用次数: 0

Abstract

We present the locally conformal generalization of the Euler–Lagrange equations. We determine the dual space of the LCS Hamiltonian vector fields. Within this dual space, we formulate the Lie–Poisson equation that governs the kinetic motion of Hamiltonian systems in the context of local conformality. By expressing the Lie–Poisson dynamics in terms of density functions, we derive locally conformal Vlasov dynamics. In addition, we outline a geometric pathway that connects LCS Hamiltonian particle motion to locally conformal kinetic motion.
局部保角动力学的变量方面和动力学理论
我们提出了欧拉-拉格朗日方程的局部保角广义。我们确定了 LCS 哈密顿向量场的对偶空间。在这个对偶空间中,我们提出了在局部保角背景下支配哈密顿系统动力学运动的列-泊松方程。通过用密度函数表达列-泊松动力学,我们推导出了局部保角弗拉索夫动力学。此外,我们还概述了连接 LCS 哈密尔顿粒子运动和局部保角动力学运动的几何路径。
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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