Active topological defect absorption by a curvature singularity
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Active topological defect absorption by a curvature singularity. / Vafa, Farzan; Nelson, David R.; Doostmohammadi, Amin.
I: Journal of Physics Condensed Matter, Bind 35, Nr. 42, 425101, 20.07.2023.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Active topological defect absorption by a curvature singularity
AU - Vafa, Farzan
AU - Nelson, David R.
AU - Doostmohammadi, Amin
N1 - Publisher Copyright: © 2023 The Author(s). Published by IOP Publishing Ltd.
PY - 2023/7/20
Y1 - 2023/7/20
N2 - We leverage the Born-Oppenheimer approximation to present a general description of topological defects dynamics in p-atic materials on curved surfaces. Focusing on the case of an active nematic, we find that activity induces a geometric contribution to the motility of the + 1 / 2 defect. Moreover, in the case of a cone, the simplest example of a geometry with curvature singularity, we find that the motility depends on the deficit angle of the cone and changes sign when the deficit angle is greater than π, leading to the change in active behavior from contractile (extensile) to extensile (contractile) behavior. Using our analytical framework, we then identify for positively charged defects the basin of attraction to the cone apex and present closed-form predictions for defect trajectories near the apex. The analytical results are quantitatively corroborated against full numerical simulations, with excellent agreement when the capture radius is small compared to the cone size.
AB - We leverage the Born-Oppenheimer approximation to present a general description of topological defects dynamics in p-atic materials on curved surfaces. Focusing on the case of an active nematic, we find that activity induces a geometric contribution to the motility of the + 1 / 2 defect. Moreover, in the case of a cone, the simplest example of a geometry with curvature singularity, we find that the motility depends on the deficit angle of the cone and changes sign when the deficit angle is greater than π, leading to the change in active behavior from contractile (extensile) to extensile (contractile) behavior. Using our analytical framework, we then identify for positively charged defects the basin of attraction to the cone apex and present closed-form predictions for defect trajectories near the apex. The analytical results are quantitatively corroborated against full numerical simulations, with excellent agreement when the capture radius is small compared to the cone size.
KW - active nematic
KW - curvature singularity
KW - p-atic
U2 - 10.1088/1361-648X/ace48d
DO - 10.1088/1361-648X/ace48d
M3 - Journal article
C2 - 37406629
AN - SCOPUS:85165520196
VL - 35
JO - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
SN - 0953-8984
IS - 42
M1 - 425101
ER -
ID: 361835025