Topological solitons in nondegenerate one-component chains.
The possibility of the existence of topological solitons in one-component chains with a nondegenerate potential of gradient type is proven. The existence and stability of the solitons are ensured by the competing nonlinear nearest-neighbor potential V1 and parabolic second-nearest-neighbor potential V2. Solitonic solutions have been found analytically for piecewise-parabolic V1 and numerically for smoothened nearest-neighbor (NN) potential V(1,delta). Numerical results for the soliton velocity and front width are in good agreement with analytical estimates. The solitons are shown to move at a unique velocity and actually maintain the constant profile as long as the NN potential is smooth enough. The impact of two solitons of different sign is inelastic and leads to their recombination. It is argued that the soliton propagation may constitute an elementary event of structural transformations in the chain.
Manevitch
Leonid I
LI
N. N. Semenov Institute for Chemical Physics, Russian Academy of Sciences, Ulnika Kosygina 4, 117977 Moscow, Russia. lmanev@center.chph.ras.ru
Sigalov
Grigori M
GM
Savin
Alexander V
AV