Solitons and proton motion in ice‐like structures

Antonchenko, V.Ya.; Davydov, A. S.; Zolotariuk, A. V.

doi:10.1002/pssb.2221150234

Cited by 190 publications

(62 citation statements)

References 8 publications

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“…Models of diatomic lattices have been used as prototypes to approach the transport of energy [8] and describe the dynamics of materials (such as ferroelectric perovskites) that present a quasi-1D diatomic structure along certain crystallographic directions [9]. For complicated polyatomic systems like molecular-hydrogen-bonded chains [10,11], the problem becomes tractable by selecting the most important degrees of freedom and using a diatomic model. Propagation of solitary waves along diatomic chains was analyzed in [12] and [13], where second-neighbor interactions were also included.…”

Section: Introductionmentioning

confidence: 99%

Solitary waves in diatomic chains

et al. 2016

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We consider the mechanism of formation of isolated localized wave structures in the diatomic Fermi-Pasta-Ulam (FPU) model. Using a singular multiscale asymptotic analysis in the limit of high mass mismatch between the alternating elements, we obtain the typical slow-fast time scale separation and formulate the Fredholm orthogonality condition approximating a sequence of mass ratios supporting the formation of solitary waves in the general type of diatomic FPU models. This condition is made explicit in the case of diatomic Toda lattice. Results of numerical integration of the full diatomic Toda lattice equations confirm the formation of these genuinely localized wave structures at special values of the mass ratio that are close to the analytical predictions when the ratio is sufficiently small.

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Section: Introductionmentioning

confidence: 99%

Solitary waves in diatomic chains

et al. 2016

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“…According to Davydov [6], charge transport along these enzymes is provided by soliton mechanism, when electrons released at the initial stage of the photosynthesis or respiration, cause deformation of the macromolecule and get self-trapped in soliton states. Similarly, solitons are formed in hydrogen bonded water molecules (see Davydov [6], Antonchenko et al [7]). The Hamiltonian of a molecular chain with extra charge carriers consists of three terms, which are the Hamiltonians of free charge carriers, of the lattice and their interaction.…”

Section: Main Characteristics Of Solitons and Bisolitonsmentioning

confidence: 99%

“…No surprise that external EMF affects such systems, and that the caused bioeffects are very complicated and intensity and frequency dependent. In this paper we study the effect of EMF on soliton mediated charge transport in nonlinear systems, such as living organisms and water chains (Davydov [6], Antonchenko et al [7]) or coherence domains of water (Del Giudice [8] and references therein). It is worth to recall here that term 'soliton' means a localized solitary wave solution of nonlinear equation(s), which is stable due to mutual compensation of nonlinearity and dispersion, and which is stable with respect to external perturbations and collisions with similar solitons.…”

Section: Introductionmentioning

confidence: 99%

On the non-thermal effects of electromagnetic fields on charge transport processes in ecosystems

Brizhik

2011

WIT Transactions on Ecology and the Environment

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It is shown that periodic electromagnetic (EM) fields cause non-thermal effects on nonlinear charge transport processes in living organisms and ecosystems. In particular, such processes take place during respiration or photosynthesis and in hydrogen-bonded water chains present in interfacial water in cells, in coherence domains of water in the atmosphere and oceans. The nonlinear charge transport is mediated by solitons and bisolitons which are formed by single charge (electron, proton) or, respectively, two electrons in a singlet state, that are selftrapped in the self-induced local distortion of macromolecules or water chains. Due to oscillations of their velocity caused by discreteness of chains, (bi)solitons emit EM radiation of characteristic frequencies, determined by the intensity of the redox processes. In the presence of the periodic field (bi)solitons attain additional oscillations, and, therefore, the frequency of their EM radiation becomes modified, which affects redox processes in particular and the whole metabolism in general. It is shown that (bi)solitons have some characteristic frequencies, with respect to which periodic EM fields have non-thermal resonant effect on their dynamics and stability. Relatively strong enough unbiased periodic EM radiation can cause drift of (bi)solitons in molecular chains, and, therefore, it affects charge transport processes. These results show that changes in the EM solar activity can have effects on metabolism of living organisms and functioning of ecosystems and indicate a possible danger of the EM smog in ecosystems.

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