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solidstate
www.damtp.cam.ac.uk/user/tong/aqm/solid2.pdf7 Apr 2021: ai bj = 2 ij (2.24)? is sometimes referred to as the dual lattice. ... 52 –. The condition (2.24) can also be stated as the requirement that. -
Geometry of catenoidal soap film collapse induced by boundary…
www.damtp.cam.ac.uk/user/gold/pdfs/CatenoidCollapse.pdf8 Sep 2021: 3Institut Universitaire de France (IUF), 75005 Paris, France. (Received 9 May 2021; accepted 24 August 2021; published 8 September 2021). ... 24). It follows that the rescaled area S = A/a2 monotonically de-creases in time,. -
J. Fluid Mech. (2021), vol. 914, A20, doi:10.1017/jfm.2020.1112 The…
www.damtp.cam.ac.uk/user/gold/pdfs/worms.pdf5 Mar 2021: of Bristol, 24 Tyndall Avenue, Bristol BS8 1TQ, UK. ... uθ = cΩ I1(κr)K1(κ) K1(κr)I1(κ)I1(κc)K1(κ) K1(κc)I1(κ), (4.24)where. α0 = cκΩ. I1(κ)I1(κc)K1(κ) -
Energetics of synchronization for model flagella and cilia
www.damtp.cam.ac.uk/user/lauga/papers/189.pdf8 Jul 2021: For larger ciliatedcells [24], or for multicellular aquatic organisms equippedwith many short flagella [25], the synchronization dynamicstakes the form of metachronal waves, akin to spectator wavesin sport stadiums. ... p = p1 O(2 ), (24). σ = σ1 O(2 ). -
Hydrodynamics and direction change of tumbling bacteria
www.damtp.cam.ac.uk/user/lauga/papers/199.pdf20 Jul 2021: RESEARCH ARTICLE. Hydrodynamics and direction change of. tumbling bacteria. Mariia DvoriashynaID, Eric LaugaID. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, United. Kingdom. e.lauga@damtp.cam.ac.uk. -
Asymptotic theory of hydrodynamic interactions between slender…
www.damtp.cam.ac.uk/user/lauga/papers/196.pdf10 Sep 2021: D. Leading-order dynamics. The induced flow, Eq. (24), makes no contributions to Eq. ... 24). Wefind that the first-order correction to the force distribution is given by. -
3 Introducing Riemannian Geometry‣ General Relativity by David Tong
www.damtp.cam.ac.uk/user/tong/gr/grhtml/S3.html16 Oct 2021: 3 Introducing Riemannian Geometry. 3 Introducing Riemannian Geometry. We have yet to meet the star of the show. There is one object that we can place on a manifold whose importance dwarfs all others, at least when it comes to understanding gravity. -
Dynamics of a helical swimmer crossing viscosity gradients
www.damtp.cam.ac.uk/user/lauga/papers/201.pdf10 Sep 2021: coli bacteria showingchemo-attraction to self-produced autoinducers [24]. A mechanical example of taxis, viscotaxis, emerges when a cell adapts its motion in responseto viscosity gradients. ... U2 (h) = A2 D2hB2 C2h , (23). where. A2 = ξ λ′ (1 βT )R -
justaqm
www.damtp.cam.ac.uk/user/tong/aqm/justfour.pdf7 Apr 2021: magnetic field,. An =2eB. (n ) (4.24). This quantisation of area is actually a variant of the Landau level quantisation that we. ... N =. 0. which should clearly be an integer. The quantisation (4.24) due to a background magnetic field. -
Rechargeable self-assembled droplet microswimmers driven by surface…
www.damtp.cam.ac.uk/user/lauga/papers/198.pdf10 Sep 2021: Active Brownian motion tunable by light. J. Phys. Condens. Matter 24, 284129 (2012). ... Soft Matter 16, 4961–4968 (2020). 24. Shao, J. et al. Erythrocyte membrane modified Janus polymeric motors for thrombus therapy.
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