Newton-Cartan submanifolds and fluid membranes
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- PhysRevE.101.062803
Final published version, 974 KB, PDF document
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.
Original language | English |
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Article number | 062803 |
Journal | Physical Review E |
Volume | 101 |
Issue number | 6 |
Number of pages | 25 |
ISSN | 1539-3755 |
DOIs | |
Publication status | Published - 18 Jun 2020 |
- DYNAMICS, SHAPE
Research areas
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