PMMH’s weekly seminar is held every Friday at 11 am (map)
Stéphane Perrard
Etienne Reyssat
Virgile Thiévenaz

PMMH
BARRE CASSAN
BAT A 1ER ETAGE CASE 18
7 QUAI SAINT BERNARD
75005 PARIS
France
Tel : (33) 1 40 79 45 22
Séminaire PMMH - Sergei Nechaev (LPTMS, CNRS - Université Paris-Saclay)
Anomalous scaling in stretching of a fractal polymer around a disc
While stretching of a polymer along a flat surface is hardly different from the classical Pincus problem of pulling chain ends in free space, the role of curved geometry in conformational statistics of the stretched chain is an exciting open question. We use scaling analysis and computer simulations to examine [1] stretching of a fractal polymer chain around a disc in 2D (or a cylinder in 3D) of radius R. We reveal that the typical excursions of the polymer away from the surface scales as Delta R^\beta with the Kardar-Parisi-Zhang (KPZ) growth exponent beta=1/3. Although probability distribution of excursions does not belong to KPZ universality class, the KPZ scaling is independent of the fractal dimension of the polymer and, thus, is universal across classical polymer models. Additionally, we establish a mapping between stretched polymers in curved geometry and the Balagurov-Vaks model of random walks in a random array of traps.
[1] K. Polovnikov, S. Nechaev, and A. Grosberg, Phys. Rev. Lett. 129, 097801 (2022)
The audience is composed of people with rather heterogeneous backgrounds including specialists in solids, fluids, granular flows, statistical physics... so the idea is to keep your talk understandable by people not necessarily working in your field... The seminar time slot runs from 11am to noon so the best is to make the talk last around 45 minutes to leave some time for discussion.
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