The equilibrium state of bifilar helix as element of metamaterials

Semchenko, I. V.; Samofalov, A. L.; Qian, Songsong; Khakhomov, Sergei

doi:10.7567/jjapcp.4.011112

Cited by 3 publications

(6 citation statements)

References 11 publications

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“…These radial components of the forces describe the mutual attraction or repulsion of two helices and exist both for a symmetrical double helix and in the case of mutual shift of two helices along their common axis. It has been shown that there exists a certain equilibrium helix pitch angle (α 0 ≈ 38 deg) at which the radial component of the magnetic force vanishes, which means the absence of radial attraction or repulsion of the elementary current in the second helix with respect to the entire first helix [44,45]. At this particular angle α 0 the force radial component of the helices' magnetic interaction changes sign.…”

Section: Discussionmentioning

confidence: 99%

“…In this regard, the result obtained in this article appear promising: the direction of the radial force of electric currents attraction or repulsion in two helical strands depends on the double helix pitch angle. The critical pitch angle of the double helix, at which the radial force of the magnetic interaction of two helices changes its direction, is α 0 ≈ 38 deg [44,45]. At the same time, the DNA helix in its natural condition is characterized by the pitch angle α exp = 28.4 deg [47,48].…”

Section: Discussionmentioning

confidence: 99%

“…The positive Z-component of the magnetic or electric force means the radial attraction of the elementary part of the second helix to the first one, while the negative value of Z component means the radial repulsion force. Figure 4 demonstrates an interesting feature: there exists a certain equilibrium helix pitch angle (α 0 ≈ 38 deg) at which Z-component of the magnetic force vanishes, which means that there is no radial attraction or repulsion of the elementary current in the second helix with respect to the entire first helix [44]. At this particular angle α 0 , the radial component of the magnetic interaction force of the helices' changes sign.…”

Section: Radial and Axial Components Of Magnetic And Electric Forces: Attraction And Repulsion Of Two Helicesmentioning

confidence: 97%

“…Here, as above, the "+" sign corresponds to a right-handed helix, and the "−" sign corresponds to a left-handed one. Using Formulae ( 43) and (44), and averaging in time, we arrive at…”

Section: The Tangential Component Of the Force Acting On The Helixmentioning

confidence: 99%

“…The excitation states of a long bifilar helix with quasi-stationary distributions of electric currents have already been studied earlier in [44,45]. Whereas the article by Semchenko et al [44] studies a two-fold symmetrical double stranded helix, paper [45] is devoted to an asymmetrical DNA-like helix. This particular excitation state is realized when the wavelength of excitation is much longer than the length of the helical turn.…”

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confidence: 99%

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Optical Forces Acting on a Double DNA-Like Helix, Its Unwinding and Strands Rupture

et al. 2020

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In this paper we study electromagnetic forces induced on DNA and DNA-like helices by external electromagnetic waves. We consider simultaneously occurring forces and torques, interconnected and acting along the double helix axis. Since the DNA molecule has an absorption band in the ultraviolet and visible range near wavelengths λ1res=280 nm and λ2res=500 nm, we expect that it may be possible to selectively apply engineered forces to DNA molecules using appropriate illumination by light in these frequency ranges. The optical forces are simulated for DNA fragments consisting of 20 and 35 turns. Fragments of this length are convenient for direct sequencing and subsequent use in experiments and in practice. It is shown that repulsion forces can arise between the strands of the double DNA-like helix in the field of external electromagnetic waves. Such forces are characteristic of a DNA-like helix with its specific pitch angle and are not inherent in double helices with more straightened or more compressed turns. These repulsion forces, acting along the entire helix, both for electric charges and for electric currents, can lead to damage and rupture of the strands in the double helix. In addition, there can also exist forces and moments of forces directed along the helix axis, which simultaneously stretch and unwind a double helix. The double helix equilibrium under the action of optical forces is also of interest from another point of view, i.e., for optimizing the structure of artificial magnetics and bianisotropic metamaterials for applications in all frequency ranges.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Radial and Axial Components Of Magnetic And Electric Forces: Attraction And Repulsion Of Two Helicesmentioning

confidence: 97%

“…Here, as above, the "+" sign corresponds to a right-handed helix, and the "−" sign corresponds to a left-handed one. Using Formulae ( 43) and (44), and averaging in time, we arrive at…”

Section: The Tangential Component Of the Force Acting On The Helixmentioning

confidence: 99%

mentioning

confidence: 99%

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Optical Forces Acting on a Double DNA-Like Helix, Its Unwinding and Strands Rupture

et al. 2020

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Radiation Patterns of Double DNA-Like Helices as Elements of Metamaterials and Antenna Systems

Mikhalka

Semchenko

Khakhomov

2020

Lecture Notes in Networks and Systems

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DNA Dynamics under Periodic Force Effects

Svidlov

Drobotenko

Басов

et al. 2021

IJMS

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The sensitivity of DNA to electromagnetic radiation in different ranges differs depending on various factors. The aim of this study was to examine the molecular dynamics of DNA under the influence of external periodic influences with different frequencies. In the present paper, within the framework of a mechanical model without simplifications, we investigated the effect of various frequencies of external periodic action in the range from 1011 s−1 to 108 s−1 on the dynamics of a DNA molecule. It was shown that under the influence of an external periodic force, a DNA molecule can perform oscillatory movements with a specific frequency characteristic of this molecule, which differs from the frequency of the external influence ω. It was found that the frequency of such specific vibrations of a DNA molecule depends on the sequence of nucleotides. Using the developed mathematical model describing the rotational motion of the nitrogenous bases around the sugar–phosphate chain, it is possible to calculate the frequency and amplitude of the oscillations of an individual DNA area. Such calculations can find application in the field of molecular nanotechnology.

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The equilibrium state of bifilar helix as element of metamaterials

Cited by 3 publications

References 11 publications

Optical Forces Acting on a Double DNA-Like Helix, Its Unwinding and Strands Rupture

Optical Forces Acting on a Double DNA-Like Helix, Its Unwinding and Strands Rupture

Radiation Patterns of Double DNA-Like Helices as Elements of Metamaterials and Antenna Systems

DNA Dynamics under Periodic Force Effects

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