Second Gradient Electromagnetostatics: Electric Point Charge, Electrostatic and Magnetostatic Dipoles

@article{Lazar2020SecondGE,
  title={Second Gradient Electromagnetostatics: Electric Point Charge, Electrostatic and Magnetostatic Dipoles},
  author={Markus Lazar and Jakob Leck},
  journal={Symmetry},
  year={2020},
  volume={12},
  pages={1104}
}
In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical Maxwell electrodynamics whose Lagrangian is both Lorentz and U ( 1 ) -gauge invariant. Second gradient electromagnetostatics is a gradient field theory with up to second-order derivatives of the electromagnetic field strengths in the Lagrangian. Moreover, it… 
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A non-singular continuum theory of point defects using gradient elasticity of bi-Helmholtz type

  • M. Lazar
  • Mathematics
    Philosophical Magazine
  • 2019
ABSTRACT In this paper, we develop a non-singular continuum theory of point defects based on a second strain gradient elasticity theory, the so-called gradient elasticity of bi-Helmholtz type. Such a
...