Premium
Chaotic dynamics and entropy elastic forces of chain molecules
Author(s) -
Winkler R. G.,
Reineker P.
Publication year - 1989
Publication title -
makromolekulare chemie. macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 0258-0322
DOI - 10.1002/masy.19890300118
Subject(s) - chain (unit) , chaotic , fixed point , classical mechanics , dynamics (music) , physics , mathematics , mathematical analysis , computer science , artificial intelligence , acoustics , astronomy
The dynamic behaviour of a phantom molecular chain, consisting of mass points connected by mass‐less rigid rods, is investigated in two dimensions. The end points of the chain are fixed in space. The dynamics of the molecule are determined by Newton's equations of motion. Their numerical solution is represented in form of Poincaré sections and shows deterministic chaos. It is shown that the forces of constraint, acting on the fixed end points, fluctuate in time. The time average of these forces is calculated as a function of the extension of the chain.