Newton-Cartan submanifolds and fluid membranes

Armas, JayUniv Amsterdam, Inst Theoret Phys, NL-1090 GL Amsterdam, Netherlands.;Dutch Inst Emergent Phenomena, NL-1090 GL Amsterdam, Netherlands. (författare)

QC 20200702
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.

Hartong, JelleUniv Edinburgh, Sch Math, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland.;Univ Edinburgh, Maxwell Inst Math Sci, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland. (författare)
Have, EmilUniv Edinburgh, Sch Math, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland.;Univ Edinburgh, Maxwell Inst Math Sci, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland. (författare)
Nielsen, Bjarke F.Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark. (författare)
Obers, Niels A.Stockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark.,Nordiska institutet för teoretisk fysik (Nordita),University of Copenhagen, Denmark(Swepub:su)niob8745 (författare)
Univ Amsterdam, Inst Theoret Phys, NL-1090 GL Amsterdam, Netherlands.;Dutch Inst Emergent Phenomena, NL-1090 GL Amsterdam, Netherlands.Univ Edinburgh, Sch Math, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland.;Univ Edinburgh, Maxwell Inst Math Sci, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Midlothian, Scotland. (creator_code:org_t)

Ingår i:Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: American Physical Society (APS)101:61539-37551550-2376

Av författaren/redakt...: Armas, Jay; Hartong, Jelle; Have, Emil; Nielsen, Bjarke ...; Obers, Niels A.

Om ämnet

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.