Extension of chains composed of freely joined elastic segments

Autor:	Nikolay K. Balabaev, T. N. Khazanovich
Rok vydání:	2009
Předmět:	Physics Molecular dynamics Chain (algebraic topology) Mathematical analysis medicine Stiffness Function (mathematics) Brillouin and Langevin functions Limit (mathematics) Extension (predicate logic) Physical and Theoretical Chemistry medicine.symptom Effective potential
Zdroj:	Russian Journal of Physical Chemistry B. 3:242-246
ISSN:	1990-7923 1990-7931
DOI:	10.1134/s1990793109020109
Popis:	A relatively simple formula for the mean distance between the ends of a model chain composed of elastic freely joined segments as a function of an extending force applied to its ends was derived. It was assumed that the stiffness coefficient, which characterizes the ability of the segment to extend and contract, is rather high. In the limit of infinite stiffness the relationship obtained transforms into the Langevin function. The formula predicts the existence of two Hook regions in the force-relative extension dependence. The first of them is characterized by small extensions, whereas the second one, by extensions exceeding the equilibrium contour length. The existence of the latter is confirmed by recent experiments. The magnitude of fluctuations of the relative extension was estimated. The obtained relationships for the relative extension and its scatter are in close agreement with the results of computer simulations performed using collisional molecular dynamics for chains composed of 25, 50, 100, and 200 segments.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6198bd1f06856f0da9fe6140fdd6a1bb https://doi.org/10.1134/s1990793109020109 Zobrazit plný text záznamu Full text from SpringerLink