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7 Apr 2021: m!2 = 2 eika eika. = 4sin2. ka. 2. We find the dispersion relation! = ... 2 =. mM. hm M. p(m M)2 4mM cos2(ka). i. The resulting dispersion relation is sketched in Figure 74 in the first Brillouin zone.

10 Apr 2011: Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments. Chris H. Wiggins, D. Riveline,# A. Ott,# and Raymond E. Goldstein. Department of Physics, Princeton University, Princeton, New Jersey 08544 USA; #Institut Curie, Section de

24 Dec 2014: Emacs Lisp List. Last updated: Wed Dec 24 11:36:00 2014. 1270 entries. Mail me (sje30@cam.ac.uk) with any suggestions for changes to this list. View recent changes to the list. 2013-06-07. I am no longer actively updating the list, as I hope that

16 Apr 2021: na=1. La〈O(k1)O(k2). O(kn)〉 = 0 , (1.1). where La = L(τa,τa, ka,ka) is some linear, possibly differential operator made of func-. ... Then (4.26) becomes[. 3(n 1) na=1. ka. ka. ]〈R(k1)R(k2). R(kn)〉′! = 0 , (4.38).

10 Apr 2011: 2 6 ) - ( 2 8 ) to order 1/(Ka) 2 the following expression for the surface potential:. ... 1 2 ( q - 1) 1 ( q - 1)2(2q 1) 3 3 , (29) = 2 l n ( p q) Ka p q ( K a ) 2 p q.

18 Oct 2019: non-negative, because. n = nhn|ni = hn|N |ni = hn|A†A|ni = kA|nik2 0 (3.11). ... Taking the norm of both sides shows that. |cn|2 = kA†|nik2 = hn|AA†|ni = hn|N 1|ni = n 1.

26 Jul 2013: with similar viscosities (, ) and densities (, ),(b) dimensionless membrane-viscous number, Me U=KA, for two fluids separated by an elastic membrane(thickness t, area modulus KA, density m, bending stiff-ness ... f 2= is an intrinsic viscocapillary

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15 Apr 2021: φ(k1). φ(kn)〉 δ3D. (na=1. ka. ). (19). 7. For the metric. ... φ(k1). φ(kn)〉 = (2π)3δ3D. (na=1. ka. )Bn(k1,. ,kn). (34). must scale as.

12 Mar 2015: components are. Ex = ωA sin(nπy. a. )sin(kz ωt). By = kA sin(nπy.