Entangled polymer complexes as Higgs phenomena

Soft Matter
Ki-Seok KimYongSeok Jho

Abstract

We derive an effective Maxwell-London equation for entangled polymer complexes under topological constraints, borrowing the theoretical framework from topological field theory. We find that the transverse current flux of a test polymer chain, surrounded by entangled chains, decays exponentially from its centerline position with a finite penetration depth, which is analogous to the magnetic-field decay in a superconductor (SC), referred to as the Meissner effect. Just as the mass acquirement of photons in a SC is the origin of the magnetic-field decay, the polymer obtains uncrossable intersections along the chain due to the preservation of the linking number, which restricts the deviation of the transverse polymer current in the normal direction. The underlying physics is as follows: less flexible polymers have stronger current-current correlations, giving rise to a heavier effective mass of the gauge fields and resulting in a shorter decay length. Interestingly, this picture is well incorporated within the most successful phenomenological theory of the, so called, tube model, the microscopic origins of which researchers have long pursued. The correspondence of our equation of motion to the tube model claims that the confining t...Continue Reading

References

Feb 7, 2004·Science·Ralf EveraersKurt Kremer
Oct 26, 2005·Physical Review Letters·C L Kane, E J Mele
Apr 7, 2010·Physical Review Letters·Bo WangSteve Granick
Sep 28, 2010·Physical Review Letters·J GlaserM Giesen
Sep 10, 2011·Physical Review Letters·Daniel M Sussman, Kenneth S Schweizer

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Citations

Jan 16, 2021·The Journal of Chemical Physics·Neha Tyagi, Binny J Cherayil

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