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Dynamics of the Davydov’s soliton in external oscillating magnetic field

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  • Bogolyubov Institute for Theoretical Physics National Academy of Sciences of Ukraine
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... [38][39][40][41], in the considered here problem the nonlinearity plays essential role, and, therefore, we intend to avoid considering weakly nonlinear limit, but use the nonlinear perturbation theory. 37 It has been shown in Ref. 31 that in the zero order approximation the solution of Eq. (20) has a standard form: (29) in which the arguments are defined by the relations ...
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The change in time of the state of intramolecular excitation in an one-dimensional molecular chain is investigated, where its deformability is taken into account. It is shown that the excitation which is accompanied by a local deformation of the chain, can move uniformly along the chain, the size of the region under excitation remaining constant. These excitations in one-dimensional molecular chains can be called particle-like excitons or solitary excitons.Es werden die zeitlichen Änderungen des intramolekularen Anregungszustandes in einer ein-dimensionalen molekularen Kette untersucht, wobei deren Deformierbarkeit berücksichtigt wird. Es wird gezeigt, daß die Anregung der Kette, die durch eine lokale Deformation begleitet ist, sich gleichförmig längs der Kette bewegen kann, wobei die Größe des angeregten Bereichs konstant bleibt. Diese Anregungen in ein-dimensionalen Molekülketten können partikel-ähnliche Exzitonen oder solitäre Exzitonen genannt werden.
Article
The ground states of a quasiparticle electron, hole or exciton are investigated in a one-dimensional 1D molecular chain within the variational approach with account of quasiparticle interaction with acoustical and optical phonons. The ground state diagrams are obtained, which show the intervals of the values of dimensionless electron–phonon coupling constant, and nonadiabaticity parameter, Ž which correspond to the regimes of an almost free electron state, small polaron, and spontaneously localized large polaron or . soliton-like state, respectively. The creation of autolocalized states has a threshold with respect to the value of electron–phonon interaction. Such states correspond to the minimum of energy within some finite interval of the values of electron–phonon coupling constants, the critical values of which depend on the nonadiabaticity parameters of each phonon mode. It is shown that the presence of the second phonon mode enhances the stability of the autolocalized states as compared with the single mode case, and expanses the region of soliton existence in the one-mode nonadiabatic regime. q 2000 Elsevier Science S.A. All rights reserved.
Article
Theories and experiments related to the localization of Amide-I (or CO stretching) vibrational energy in protein are surveyed. Such localization arises through interaction of the Amide-I mode with lattice distortion. Generalizations to charge transport and biological applications are also considered.
Conference Paper
There is now a reasonable battery of evidence from a large number of laboratories, that exposure to extremely low frequency magnetic and electric fields (EMF) produces biological responses in animals. Many of the observed effects appear to be directly or indirectly associated with the neural or neuroendocrine systems. Such effects include increased neuronal excitability, chemical and hormonal changes in the nervous system, altered behavioral responses, some of which are related to sensing the presence of the field, and changes in endogenous biological rhythms. Bone growth and fracture repair clearly show evidence of effects by exposure to magnetic fields of sufficient intensity. Additional indices of general physiological status appear relatively unaffected by exposure, although effects have occasionally been described in reproduction and development and immune system function. A major focus of ongoing research in the laboratory is to determine whether the epidemiological-based suggested association between magnetic field exposure and risk of cancer can be supported in studies using animal models. Three major challenges exist for ongoing laboratory research: (1) knowledge about the mechanisms underlying observed bioeffects is incomplete, (2) understanding of the physical aspects of exposure and the dose that produce biological responses is not currently available, and (3) health consequences resulting from EMF exposure are primarily speculative. There is presently no clear and convincing evidence from animal or cellular studies that demonstrates deleterious effects of EMF. There are, however, some studies, though largely unreplicated, that are suggestive of potential health impacts. From the perspective of laboratory studies, this presentation will discuss biological responses to extremely low frequency magnetic field exposures
Cyclotron resonance in cell membrane: the theory of the mechanisms
  • McLeod
On the mechanisms of wound healing by magnetic therapy: the working principle of therapeutic magnetic resonance
  • Brizhik
Cyclotron resonance in membrane transport
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Parametric autoresonant excitation of the nonlinear Schrödinger equation
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