Newton-Cartan submanifolds and fluid membranes

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

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Newton-Cartan submanifolds and fluid membranes. / Armas, Jay; Hartong, Jelle; Have, Emil; Nielsen, Bjarke F.; Obers, Niels A.

In: Physical Review E, Vol. 101, No. 6, 062803, 18.06.2020.

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

Harvard

Armas, J, Hartong, J, Have, E, Nielsen, BF & Obers, NA 2020, 'Newton-Cartan submanifolds and fluid membranes', Physical Review E, vol. 101, no. 6, 062803. https://doi.org/10.1103/PhysRevE.101.062803

APA

Armas, J., Hartong, J., Have, E., Nielsen, B. F., & Obers, N. A. (2020). Newton-Cartan submanifolds and fluid membranes. Physical Review E, 101(6), [062803]. https://doi.org/10.1103/PhysRevE.101.062803

Vancouver

Armas J, Hartong J, Have E, Nielsen BF, Obers NA. Newton-Cartan submanifolds and fluid membranes. Physical Review E. 2020 Jun 18;101(6). 062803. https://doi.org/10.1103/PhysRevE.101.062803

Author

Armas, Jay ; Hartong, Jelle ; Have, Emil ; Nielsen, Bjarke F. ; Obers, Niels A. / Newton-Cartan submanifolds and fluid membranes. In: Physical Review E. 2020 ; Vol. 101, No. 6.

Bibtex

@article{5c7ff566068b49598174bdbca611c389,
title = "Newton-Cartan submanifolds and fluid membranes",
abstract = "We develop the geometric description of submanifolds in Newton-Cartan spacetime. This provides the necessary starting point for a covariant spacetime formulation of Galilean-invariant hydrodynamics on curved surfaces. We argue that this is the natural geometrical framework to study fluid membranes in thermal equilibrium and their dynamics out of equilibrium. A simple model of fluid membranes that only depends on the surface tension is presented and, extracting the resulting stresses, we show that perturbations away from equilibrium yield the standard result for the dispersion of elastic waves. We also find a generalization of the Canham-Helfrich bending energy for lipid vesicles that takes into account the requirements of thermal equilibrium.",
keywords = "DYNAMICS, SHAPE",
author = "Jay Armas and Jelle Hartong and Emil Have and Nielsen, {Bjarke F.} and Obers, {Niels A.}",
year = "2020",
month = jun,
day = "18",
doi = "10.1103/PhysRevE.101.062803",
language = "English",
volume = "101",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Newton-Cartan submanifolds and fluid membranes

AU - Armas, Jay

AU - Hartong, Jelle

AU - Have, Emil

AU - Nielsen, Bjarke F.

AU - Obers, Niels A.

PY - 2020/6/18

Y1 - 2020/6/18

N2 - We develop the geometric description of submanifolds in Newton-Cartan spacetime. This provides the necessary starting point for a covariant spacetime formulation of Galilean-invariant hydrodynamics on curved surfaces. We argue that this is the natural geometrical framework to study fluid membranes in thermal equilibrium and their dynamics out of equilibrium. A simple model of fluid membranes that only depends on the surface tension is presented and, extracting the resulting stresses, we show that perturbations away from equilibrium yield the standard result for the dispersion of elastic waves. We also find a generalization of the Canham-Helfrich bending energy for lipid vesicles that takes into account the requirements of thermal equilibrium.

AB - We develop the geometric description of submanifolds in Newton-Cartan spacetime. This provides the necessary starting point for a covariant spacetime formulation of Galilean-invariant hydrodynamics on curved surfaces. We argue that this is the natural geometrical framework to study fluid membranes in thermal equilibrium and their dynamics out of equilibrium. A simple model of fluid membranes that only depends on the surface tension is presented and, extracting the resulting stresses, we show that perturbations away from equilibrium yield the standard result for the dispersion of elastic waves. We also find a generalization of the Canham-Helfrich bending energy for lipid vesicles that takes into account the requirements of thermal equilibrium.

KW - DYNAMICS

KW - SHAPE

U2 - 10.1103/PhysRevE.101.062803

DO - 10.1103/PhysRevE.101.062803

M3 - Journal article

C2 - 32688472

VL - 101

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 6

M1 - 062803

ER -

ID: 247034218