Weak damping slow modes of oriented nonlinear oscillations in liquid crystalls in unstabilizing magnetic fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 1, pp. 132-143
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Nonlinear inertial torsion oscillations of the structure of nematic liquid crystall in unstabilizing magnetic field have low frequency modes possessing the anomaly weak damping. The corresponding solution of the sine-Gordone type equation to the account for viscous rotating friction describes the transitions via the potential barrier between two equillibrium states. We show that when the oscillation amplitude is large enough to overcome the barrier, the damping time for the period of oscillation diverges logarithmically.
@article{TMF_1997_111_1_a9,
author = {E. L. Aero},
title = {Weak damping slow modes of oriented nonlinear oscillations in liquid crystalls in unstabilizing magnetic fields},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {132--143},
publisher = {mathdoc},
volume = {111},
number = {1},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_1_a9/}
}
TY - JOUR AU - E. L. Aero TI - Weak damping slow modes of oriented nonlinear oscillations in liquid crystalls in unstabilizing magnetic fields JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1997 SP - 132 EP - 143 VL - 111 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1997_111_1_a9/ LA - ru ID - TMF_1997_111_1_a9 ER -
%0 Journal Article %A E. L. Aero %T Weak damping slow modes of oriented nonlinear oscillations in liquid crystalls in unstabilizing magnetic fields %J Teoretičeskaâ i matematičeskaâ fizika %D 1997 %P 132-143 %V 111 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1997_111_1_a9/ %G ru %F TMF_1997_111_1_a9
E. L. Aero. Weak damping slow modes of oriented nonlinear oscillations in liquid crystalls in unstabilizing magnetic fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 1, pp. 132-143. http://geodesic.mathdoc.fr/item/TMF_1997_111_1_a9/