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SUMMARY:Topological Localization in Trivial Random Braids
DTSTART:20261001T120000Z
DTEND:20261001T130000Z
DTSTAMP:20261010T212300Z
UID:indico-event-16911@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sergei Nechaev (LPTMS / CNRS and Universite Paris-Sa
 clay)\n\nIn 2015\, P. Serna et al. numerically investigated fluctuations o
 f directed polymers forming unlinked braids and showed that the fluctuatio
 ns of an individual strand in such braids are qualitatively different from
  those of a strand in a medium of fixed parallel lines. P. Serna et al. fo
 und a logarithmic growth of the transverse spread with polymer length. Thi
 s suggests that collective topological interactions are collective: each p
 olymer simultaneously fluctuates and constrains the motion of the others. 
 We propose a slightly different interpretation: the logarithmic regime is 
 an intermediate one\, and sufficiently long polymers demonstrate topologic
 al localization: the transverse spread of strand fluctuations tends to a f
 inite limit. Unlike localization induced by quenched external disorder\, i
 n this case localization arises solely from collective topological constra
 ints and leads to topological microphase separation.\n\nhttps://indico.mat
 h.cnrs.fr/event/16911/
LOCATION:Salle 1180\, bâtiment E2 (Salle des séminaires )
URL:https://indico.math.cnrs.fr/event/16911/
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