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23 Apr 2021: q. kA(eiqa/2 eiqa/2). Notice that only the combination (r t) appears.

17 Nov 2008: The answer is. G = dt2. ka 3 a3 c+. a da2(ka 3 a3 c. ... L = a3. 4L(Z) 3. 8π G(a(ȧ)2 ka), where Z = ψ̇ 2 (4.4).

23 Jul 2009: Third, if ka 9 1 then the relevant scale of number-density fluctuations is small compared with the size of an individual particle. ... 1 ) , ( 2. 2 ) ; and for the case ka 4 1 and a general form of P by Batchelor (1983).

2 Jul 2024: Preprint typeset in JHEP style - HYPER VERSION Lent Term, 2017. Topics in Quantum MechanicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.

19 Jul 2019: 2=. mM. hm M. p(m M)2 4mM cos2(ka). i. The resulting dispersion relation is sketched in Figure 57 in the first Brillouin zone. ... This is because it is. valid only at long wavelengths, ka 1.

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 64 in the first Brillouin zone.

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

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.

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).