Active topological defect absorption by a curvature singularity

Research output: Contribution to journal › Journal article › Research › peer-review

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Active topological defect absorption by a curvature singularity. / Vafa, Farzan; Nelson, David R.; Doostmohammadi, Amin.

In: Journal of Physics Condensed Matter, Vol. 35, No. 42, 425101, 20.07.2023.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Vafa, F, Nelson, DR & Doostmohammadi, A 2023, 'Active topological defect absorption by a curvature singularity', Journal of Physics Condensed Matter, vol. 35, no. 42, 425101. https://doi.org/10.1088/1361-648X/ace48d

APA

Vafa, F., Nelson, D. R., & Doostmohammadi, A. (2023). Active topological defect absorption by a curvature singularity. Journal of Physics Condensed Matter, 35(42), [425101]. https://doi.org/10.1088/1361-648X/ace48d

Vancouver

Vafa F, Nelson DR, Doostmohammadi A. Active topological defect absorption by a curvature singularity. Journal of Physics Condensed Matter. 2023 Jul 20;35(42). 425101. https://doi.org/10.1088/1361-648X/ace48d

Author

Vafa, Farzan ; Nelson, David R. ; Doostmohammadi, Amin. / Active topological defect absorption by a curvature singularity. In: Journal of Physics Condensed Matter. 2023 ; Vol. 35, No. 42.

Bibtex

@article{cffb5d62d5574f5e8ef81aa46ad5ae96,
title = "Active topological defect absorption by a curvature singularity",
abstract = "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.",
keywords = "active nematic, curvature singularity, p-atic",
author = "Farzan Vafa and Nelson, {David R.} and Amin Doostmohammadi",
note = "Publisher Copyright: {\textcopyright} 2023 The Author(s). Published by IOP Publishing Ltd.",
year = "2023",
month = jul,
day = "20",
doi = "10.1088/1361-648X/ace48d",
language = "English",
volume = "35",
journal = "Journal of Physics: Condensed Matter",
issn = "0953-8984",
publisher = "Institute of Physics Publishing Ltd",
number = "42",

}

RIS

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