The inertia mode of the mechanically generated solitons in nematic liquid crystals

Nonlinear dynamics of oriented elastic solids

“…We see that the problem of one-soliton solutions of the somewhat complicated system (8a-c) is equivalent to the solution of the nonlinear ordinary differential equation (13), which can be formally deduced from a double sine-Gordon equation when a one-soliton solution is sought [21][22][23][24]. Eq.…”

“…The underlying physics of the micro-motion corresponds to various media, and the micro-system possesses both nonlinearities related to the internal degrees of freedom (large amplitude rotational motions of the directors) and dispersion (long-range interactions between neighboring directors accounting for the spatial nonuniformity in the director field). Thus the above-developed model can be applied to the study of nonlinear excitations in nematic liquid crystals [13] where a bunch of rigid nematic molecules is well enough modelled by a director, in polymer media (poly-vinylidenefluoride) [14,15,[43][44][45], or in long elastic chains of macromolecules (biological materials, e.g. DNA); in the latter case more complicated interactions between macromolecules may be involved [ 17,[46][47][48].…”

“…The interactions of special interest are those which permit nonlinear excitations of the soliton type (especially competitive interactions). The latter are found in media such as nematic liquid crystals [13], long chains of polymers [14,15], molecular ferroelectric crystals of which we have already a microscopic model [ 16], and elastic chains of molecules (e.g. DNA) [17].…”