Reply to comments on "On asymptotic matching and the sheath Edge"

In our recent paper [Sternberg and Godyak (2004)], we have solved the plasma-sheath problem using asymptotic matching techniques. We have shown that the position of the sheath edge obtained by asymptotic matching yields the position of the ion sheath edge determined by Godyak's condition (E=kT/sub e//(e/spl lambda//sub D1/)) [Godyak (1982)]. In addition, we were able to show how the sheath width depends on the voltage applied to the wall. Our results are theoretical, grounded in mathematics. We used numerical computations mainly to illustrate our point. We have written our paper with great care, so that any scientist, even one not familiar with the intricacies of asymptotic matching, could understand our exposition and be convinced in the correctness of our results. Kaganovich (2004) reproduced our theoretical results numerically up to /spl epsi/=10/sup -11/. Franklin (2004) published a review adapting our results and interpretations. However, we were not able to convince Riemann, although he reproduced some of our results numerically [Riemann (2004)]. This paper is a response to Riemann's comments [Riemann (2004)].     

Reply to Post's comments on “Parity and time inversion symmetries of electromagnetic systems”

Points of agreement and disagreement with Post's remarks on the author's discussion of the criteria to be used for reducing the eight parity and time reversal symmetry choices that the formally possible for electromagnetic quantities are noted.     

Reply to da Rocha and Rodrigues' comments on the orientation congruent algebra and twisted forms in electrodynamics

The recent claim by da Rocha and Rodrigues that the nonassociative orientation congruent algebra (???? algebra) and native Clifford algebra are incompatible with the Clifford bundle approach is false. The new native Clifford bundle approach, in fact, subsumes the ordinary Clifford bundle one. Associativity is an unnecessarily too strong a requirement for physical applications. Consequently, we obtain a new principle of nonassociative irrelevance for physically meaningful formulas. In addition, the adoption of formalisms that respect the native representation of twisted (or odd) objects and physical quantities is required for the advancement of mathematics, physics, and engineering because they allow equations to be written in sign‐invariant form. This perspective simplifies the analysis of, resolves questions about, and ends needless controversies over the signs, orientations, and parities of physical quantities.     

Reply to “comments on the paper ‘anti-stokes luminescence in Europium monochalcogenides’”

We discuss the assignment made in a previous paper by D. Hulin and C. Benoit à la Guillaume concerning one of the lines observed in the photoluminescence of EuO. We present further experimental evidence which discards the involvement of magnons in the luminescence process.     

Response to “comments on Keizer's critique on extended irreversible thermodynamics” by B. C. Eu

Journal of Statistical Physics -