Journal
POLYMERS
Volume 14, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/polym14040695
Keywords
semiflexible polymers; hinged polymers; bimodality; magnetometry; signal enhancement
Categories
Funding
- Iran National Science Foundation (INSF)
- National Research Foundation of Korea [2019R1F1A1062360]
- Ministry of Science and ICT, Korea (MSIT)
- National Research Foundation of Korea [2019R1F1A1062360] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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This article analyzes a grafted semiflexible nunchuck with a magnetic bead attached to its free end. The study shows that a transverse magnetic field induces an asymmetry in the bimodal distribution of the transverse fluctuations of the free end.
Semiflexible nunchucks are block copolymers, which consist of two long blocks of high bending stiffness jointed together by a short block of low bending stiffness. Semiflexible nunchucks that consist of two DNA nanorods jointed by a short segment of double-stranded (ds) DNA and confined in two dimensions have been used in recent experiments by Fygenson and coworkers as a tool to magnify the bending fluctuations of the linking dsDNA, which in turn are used to deduce the persistence length of dsDNA. In a recent theoretical analysis, we showed that in a semiflexible nunchuck with one end grafted, the fluctuations of the position of the free end that is transverse to the grafting direction exhibit a pronounced bimodality, provided that the bending stiffness of the hinge is not very large. In this article, we theoretically analyse a grafted semiflexible nunchuck with a magnetic bead attached to its free end. We show that a transverse magnetic field induces an asymmetry in the bimodal distribution of the transverse fluctuations of the free end. This asymmetry is very sensitive to interactions with a magnetic field and, in principle, could be used in magnetometry (the measurement of a magnetic field or the magnetic moment of the bead). We also investigate how the response of the bimodal distribution of the transverse fluctuations of the free end to a magnetic field depends on the bending stiffness of the nunchuck hinge. In addition, we analyse the closely related systems of a single filament and two filaments jointed at a kink point with one end grafted and the other end attached to a magnetic bead.
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