On the Berwald-Lagrange scalar curvature in the structuring process of the LB-monolayer.

Autor: V. Balan, Grushevskaya, G., Krylova, N., Neagu, M., Oană, A.
Předmět:
Zdroj: Applied Sciences; 2013, Vol. 15, p30-42, 13p
Abstrakt: The Berwald - Lagrange curvature with respect to the vector field in the two dimensional geometric dynamics of the Langmuir - Blodgett monolayer is determined. It is shown, that the metric of the monolayer space is of the scalar curvature and the sign of the Berwald - Lagrange curvature governs the growth of geodesic deviations within the monolayer, which in turn gives qualitative information about the sign of compressibility. Computer-drawn graphics and physical illustrate the relation between the geometric structure and the underlying physical background. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index