On Plastic Dislocation Density Tensor

This letter attempts to clarify an issue regarding the proper definition of plastic dislocation density tensor. This study shows that the Ortiz’s and Berdichevsky’s plastic dislocation density tensor are equivalent with each other, but not with Kondo’s one. To fix the problem, we propose a modified version of Kondo’s plastic dislocation density tensor.

Delocalization energy retrieved from the current density tensor

The anisotropy of the magnetically induced current density tensor can be computed by its original formulation, known in the literature as ACID, or by its revised definition, AACID, which takes into account the asymmetric nature of the tensor. In polycyclic aromatic hydrocarbons, the excess of the integrated value of AACID over that computed for isolated ethylenes correlate with the Hückel delocalization energy.

On Plastic Dislocation Density Tensor

This letter attempts to clarify an issue regarding the proper definition of plastic dislocation density tensor. This study shows that the Ortiz’s and Berdichevsky’s plastic dislocation density tensor are equivalent with each other, but not with Kondo’s one. To fix the problem, we propose a modified version of Kondo’s plastic dislocation density tensor.