2+1维张量规范理论中动态位错的弹性Liénard-Wiechert势
Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
AI总结：
本文利用fracton-弹性对偶性研究线性各向同性介质中动态位错的规范势与相互作用，推导出Liénard-Wiechert势和Jefimenko方程，并将Peach-Koehler力推广到非互易情形。
摘要：
晶体固体中缺陷激发的动力学对于理解弹性介质的宏观低能性质是必要的。我们利用fracton-弹性对偶性系统地研究线性各向同性介质中的缺陷动力学与相互作用。我们推导出运动位错的对偶规范势的显式表达式以及由此得到的Jefimenko方程。我们还计算了应力和应变。本文包括两种物理情形：空位数固定时和空位数涨落时。如果存在缺陷，我们展示了一个约束条件，即当缺陷垂直于其Burgers矢量攀移时需要满足该约束。接下来，我们扩展了Peach和Koehler关于两个位错之间力的经典结果，并表明，类似于电动力学中的运动电荷，当一个位错运动时，该力是非互易的。我们论证，通过利用弹性应力的对偶规范表述所提供的简化，我们的形式体系可以扩展到Cauchy弹性之外。
英文摘要：
The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in the linear isotropic medium. We derive the explicit expressions for the dual gauge potentials for moving dislocations and the resulting Jefimenko equations. We also compute stresses and strains. The paper includes two physical situations: when the vacancy number is fixed and when the number is fluctuating. If defects are present we show a constraint that needs to be satisfied by them when they climb perpendicularly to their Burgers vector. Next, we extend the classic result of Peach and Koehler for the force between two dislocations and show that, similarly, to moving charges in electrodynamics, it is non-reciprocal, when one dislocation is moving. We argue that our formalism can be extended beyond Cauchy's elasticity by exploiting the simplifications provided by the dual gauge formulation of elastic stresses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
