论文标题
麦克斯韦方程无极化场使用生物物理学范式
Maxwell Equations without a Polarization Field using a paradigm from biophysics
论文作者
论文摘要
电动力学通常用极化矢量场编写,以描述物质对电场的响应,或更具体地说,以描述当电场改变电荷的变化。这种方法不允许从电场和磁场的测量值对极化场进行独特的规范。许多极化场会产生相同的电场和磁场,因为仅极化的差异进入麦克斯韦的第一个方程,与电荷和电场有关。任何功能的卷发都可以添加到极化场,而无需更改电场。卷曲的差异始终为零。出于相同的原因,无法从电测量中确定产生极化的结构模型。模型必须描述电荷分布,而不仅仅是极化的分布是唯一的。我提出了一个不同的范式来描述场依赖电荷,即描述极化现象。我提出了对极化的操作定义,该定义在生物物理学中效果很好,在该田间依赖性极化提供的门控电流中,使神经元钠和钾通道响应电压。运营定义已成功地应用于实验已有近五十年的历史。使用此定义从模拟,模型和理论中计算出极化的估计值,它们很好地拟合了实验数据。我建议使用相同的操作定义来定义其他系统的实验,模型,计算,理论和仿真。需要从电动力和力学的组合来计算电荷运动,因为“一切都与其他所有事物相互作用”。经典的极化场根本不必进入该处理。
Electrodynamics is usually written with a polarization vector field to describe the response of matter to electric fields, or more specifically, to describe changes in distribution of charge as an electric field is changed. This approach does not allow unique specification of a polarization field from measurements of electric and magnetic fields. Many polarization fields produce the same electric and magnetic fields, because only the divergence of the polarization enters Maxwell's first equation, relating charge and electric field. The curl of any function can be added to a polarization field without changing the electric field at all. The divergence of the curl is always zero. Models of structures that produce polarization cannot be uniquely determined from electrical measurements for the same reason. Models must describe charge distribution not just distribution of polarization to be unique. I propose a different paradigm to describe field dependent charge, i.e., to describe the phenomena of polarization. I propose an operational definition of polarization that has worked well in biophysics where a field dependent, time dependent polarization provides the gating current that makes neuronal sodium and potassium channels respond to voltage. The operational definition has been applied successfully to experiments for nearly fifty years. Estimates of polarization have been computed from simulations, models, and theories using this definition and they fit experimental data quite well. I propose that the same operational definition be used to define polarization charge in experiments, models, computations, theories, and simulations of other systems. Charge movement needs to be computed from a combination of electrodynamics and mechanics because 'everything interacts with everything else'. The classical polarization field need not enter into that treatment at all.