Reply to "Comment on 'Dynamic Peierls-Nabarro equations for elastically isotropic crystals' "

TL;DR

This paper defends a dynamic extension of the Peierls-Nabarro equation against criticism, demonstrating the effectiveness of using generalized functions to compute dynamic stress fields through simple examples.

Contribution

It provides a rebuttal to critiques of a dynamic Peierls-Nabarro model, emphasizing the utility of generalized functions in stress field calculations.

Findings

The approach successfully addresses criticisms with simple illustrative examples.

Generalized functions are effective in dynamic stress field computations.

The paper clarifies the advantages of the proposed method over previous critiques.

Abstract

The Comment by Markenscoff that criticizes a recent dynamic extension of the Peierls-Nabarro equation [Y.-P. Pellegrini, Phys. Rev. B 81, 024101 (2010)] is refuted by means of simple examples that illustrate the interest of using an approach based on generalized functions to compute dynamic stress fields.