论文标题
Maxwell的方程式,用于机械驱动的,形状的,可充电的媒体系统,在任意速度场V(R,T)缓慢移动
Maxwell's equations for a mechano-driven, shape-deformable, charged-media system, slowly moving at an arbitrary velocity field v(r,t)
论文作者
论文摘要
麦克斯韦方程的差异形式首先是基于媒体是静止的假设而得出的,这是描述系统的电磁耦合行为的基础。 For a general case in which the medium has a time-dependent volume, shape and boundary and may move at an arbitrary velocity field v(r,t) and along a general trajectory, we derived the Maxwell's equations for a mechano-driven slow-moving media system directly starting from the integral forms of four physics laws, which should be accurate enough for describing the coupling among mechano-electro-magnetic interactions of a general system in practice although it may not be洛伦兹协变量。我们的要点直接来自四个物理定律,描述了完成观察的所有领域,空间和时间。这些方程式不仅适用于具有加速度的带电固体和软培养基,还适用于带电的液体/液体培养基,例如流体电动力学。这是迈向非续语框架中电动力学的一步。使用时间和频率空间的扰动理论提出了解决机械驱动减速介质的麦克斯韦方程的一般策略。最后,比较了移动介质的电动力学方法,并就一些有趣的问题进行了相关讨论。
The differential form of the Maxwell's equations was first derived based on an assumption that the media are stationary, which is the foundation for describing the electro-magnetic coupling behavior of a system. For a general case in which the medium has a time-dependent volume, shape and boundary and may move at an arbitrary velocity field v(r,t) and along a general trajectory, we derived the Maxwell's equations for a mechano-driven slow-moving media system directly starting from the integral forms of four physics laws, which should be accurate enough for describing the coupling among mechano-electro-magnetic interactions of a general system in practice although it may not be Lorentz covarance. Our key point is directly from the four physics laws by describing all of the fields, the space and the time in the frame where the observation is done. The equations should be applicable to not only moving charged solid and soft media that has acceleration, but also charged fluid/liquid media, e.g., fluid electrodynamics. This is a step toward the electrodynamics in non-inertia frame of references. General strategies for solving the Maxwell's equations for mechano-driven slowing moving medium are presented using the perturbation theory both in time and frequency spaces. Finally, approaches for the electrodynamics of moving media are compared, and related discussions are given about a few interesting questions.