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Collective stiffening of soft hair assemblies
www.damtp.cam.ac.uk/user/lauga/papers/178.pdf6 Jul 2020: For apoint force located at a distance h above the flat bottom sur-face, and assuming no-slip boundary conditions, the flow canbe obtained using the hydrodynamic image method ... Like us, they interpreted theirresults using the models of Refs. [24,25]. -
Numerical Analysis - Part II
www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/Lect_7_slides.pdf15 Oct 2020: 24 / 26. Stability: Backward Euler and the diffusion equation. 2) For the backward Euler method. -
Part III Applications of Differential Geometry to Physics, Sheet ...
www.damtp.cam.ac.uk/user/md327/PartIII_geom_2.pdf20 Jan 2020: 24 = 1 and find its. degree. By calculating Tr((dg g1)3) at the point on S3 where x4 = 1,or otherwise deduce that the formula. -
Gauge/Gravity Duality Mathematical Tripos, Part IIIAron C. Wall…
www.damtp.cam.ac.uk/user/aw846/AdSCFT/GGexamples_1.pdf1 May 2020: 23). ds2 = dT 2 cos(T)2[dr2 sinh(r)2d2D2. ]; (24). 5. ... Note that (24) looks like a recollapsing FLRW cosmology with k = 1 (negativecurvature), but the apparent ‘Big Bang’ and ‘Big Crunch’ singularities areactually just coordinate artifacts. -
Dr A. Hansen Mathematical Tripos Part II: Michaelmas Term ...
www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/b19.pdf16 Nov 2020: This gives expression for αk in (4.7). 37. Method 4.24 (The steepest descent method) This method takes d(k) =F1(x(k)) = b Ax(k)for every k, the -
Fluid Dynamics II (D) John Hinch Draft 1, September ...
www.damtp.cam.ac.uk/user/hinch/teaching/FD2/FluidsIInotes.pdf18 Sep 2020: 24. The solution is. u = 12µ. dp. dx(h2 y2). The volume flux (per unit length in z-direction) is. -
Motility and phototaxis of Gonium, the simplest differentiated…
www.damtp.cam.ac.uk/user/gold/pdfs/Gonium_pre.pdf24 Feb 2020: Received 20 November 2019; revised manuscript received 5 February 2020; accepted 5 February 2020;published 24 February 2020). ... The 8 central flagella generate thrust while the 24 peripheralones are tilted by β 30 and generate both thrust and rotation. -
3. The Renormalisation Group We’ve built up the technology ...
www.damtp.cam.ac.uk/user/tong/sft/three.pdf22 Jul 2020: Figure 24: RG flows when d < 4 Figure 25: RG flows when d > 4. ... 1X. n=4. gn()0 n. #. where. gn() = dng0,n =. (1n/2)dng0,n (3.24). -
Hydrodynamic model for Spiroplasma motility
www.damtp.cam.ac.uk/user/lauga/papers/181.pdf8 Sep 2020: 24) and βh = 1/2, and furthersubstituting into Eq. (50) gives access to the asymptotic solution for the swimming speed as(. ... 24]. When viewed as a run-reverse motionwith rotational diffusion, a change in the reversal rate modifies the mean path length -
5. Chern-Simons Theories So far we’ve approached the quantum ...
www.damtp.cam.ac.uk/user/tong/qhe/five.pdf5 Oct 2020: mµj. (5.24). The simplest kind of current we can look at is a static charge which we place at. ... a=1. ẋa 2(x xa(t)). The equation of motion (5.24) can be easily solved even in this general case.
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