Newton-Cartan submanifolds and fluid membranes
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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
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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