当前位置: X-MOL 学术Int. J. Geom. Methods Mod. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Sedenionic formulation for the field equations of multifluid plasma
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2020-12-26 , DOI: 10.1142/s0219887821500407
Süleyman Demir 1 , Damla Sümer 2 , Murat Tanışlı 1
Affiliation  

In this paper, the multifluid equations of a plasma are reformulated in terms of conic sedenions in order to better reflect the analogies between multifluid plasma equations and Maxwell equations of classical electromagnetism. This formalism also provides us an efficient mathematical tool for unification of equations of fluid dynamics and electromagnetism in a compact and elegant way. Although the presented formulation enables us to express all of the field equations related to different disciplines, a set of Maxwell equations for multifluid plasma is combined into a single sedenionic equation. Moreover, the wave equation with source terms is generalized in a form similar to gravi-electromagnetism counterpart previously derived using this type sedenion.

中文翻译:

多流体等离子体场方程的 Sedenionic 公式

为了更好地反映多流体等离子体方程与经典电磁学麦克斯韦方程之间的类比关系,本文将等离子体的多流体方程重新表述为圆锥面。这种形式主义还为我们提供了一种有效的数学工具,以紧凑而优雅的方式统一流体动力学和电磁方程。尽管提出的公式使我们能够表达与不同学科相关的所有场方程,但一组多流体等离子体的麦克斯韦方程组合成一个单一的硒离子方程。此外,具有源项的波动方程以类似于以前使用这种类型的 sedenion 导出的重力电磁对应物的形式进行推广。
更新日期:2020-12-26
down
wechat
bug