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SUMMARY:Stabilizing role of the dissipation effects in the dynamics of ele
 ctrosolitons in magnetic field
DTSTART;VALUE=DATE-TIME:20260922T093000Z
DTEND;VALUE=DATE-TIME:20260922T100000Z
DTSTAMP;VALUE=DATE-TIME:20260914T061806Z
UID:indico-contribution-532@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Larissa Brizhik (Boglyubov Institute fr Theoretical 
 Physics)\nAnalytical [1] and numerical [2] study of the magnetic field imp
 act on the dynamics of electrosolitons\, i.e.\, charged Davydovs solitons\
 , in one-dimensional systems has shown that in the presence of the field s
 oliton velocity and acceleration attains oscillations with the frequency d
 etermined by the field. It has been shown that the impact of a magnetic fi
 eld within both approaches depends not only on the field strength\, but al
 so on the parameter values of the system which define such properties of p
 olarons like their energy\, amplitude\, width of localization. Because of 
 the non-zero acceleration soliton velocity gradually increases with time a
 nd at large times soliton starts to radiate linear sound and electromagnet
 ic waves due to which soliton loses its energy and becomes less stable.\n	
 Nevertheless\, in real situations there are always present dissipative eff
 ects. Molecular chains interact with the surrounding\, electron itself int
 eracts not only with the acoustical phonons\, but with other vibrational m
 odes\, etc.\, so that the energy dissipation has to be taken into account.
  It is shown that it can be done by adding an additional term into the cor
 responding equations of motion. In the continuum model soliton dynamics in
  the magnetic field is governed by the Modified Cubic Nonlinear Schoedinge
 r Equation with two extra terms determined by the presence of the magnetic
  field and energy dissipation. Both extra terms are small. The equation is
  solved using the nonlinear perturbation method. It is shown that with inc
 reasing soliton velocity due to magnetic field energy dissipation increase
 s and as a result\, soliton acceleration decreases and its dynamics is sta
 bilized. \nThe obtained results demonstrate that soliton dynamics remains 
 stable even in relatively strong magnetic fields. Therefore\, solitons can
  provide effective long-range electron transport in biological systems and
  novel low-dimensional functional materials used in modern nano- and biote
 chnologies.\n\nAcknowledgment\nThis work was done in frame of the project 
 of the National Academy of Sciences of Ukraine “Properties of low-dimens
 ional materials in the presence of external perturbations\, structural def
 ects and topological states”\, registration number 0122U000887\n\n\n\n[1
 ] L. Brizhik. Chaos\, Sol. Fractals 187 (2024) 115459 https://doi.org/10.1
 016/j.chaos.2024.115459.\n[2] L. Brizhik B.M.G. Piette\,  Chaos\, Sol. Fra
 ctals 208 (2026) 118339 https://doi.org/10.1016/j.chaos.2026.118339\n\nhtt
 ps://indico.bitp.kiev.ua/event/18/contributions/532/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/532/
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