Li. Manevitch et Av. Savin, SOLITONS IN CRYSTALLINE POLYETHYLENE - ISOLATED CHAINS IN THE TRANSCONFORMATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 4713-4719
This paper is devoted to the investigation of soliton-type excitations
in crystalline polyethylene. A numerical solution of the problem of t
he existence and stability of dynamical solitons in an isolated polyet
hylene chain has been obtained. In the framework of a realistic model,
taking into account deformations of the valence angles and valence bo
nds, soliton-type excitations describing propagation of the local regi
on of tension along the chain have been found. The existence of the so
litons of tension is a direct consequence of a predominance of geometr
ic nonlinearity in a transzigzag chain over a physical one. It is show
n that the polyethylene molecule has a comparitively narrow spectrum o
f soliton velocities in the supersonic region. The modeling performed
shows that the solitons of tension are stable over the whole area of t
heir existence. The region of parameters, where interaction between so
litons is elastic, has been found. In our numerical analysis we took a
refined version of an analytic solution for the limiting case of rigi
d bonds as the starting point.