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1B Methods 27 . 1B METHODS LECTURE NOTES Richard ...
www.damtp.cam.ac.uk/user/examples/B8Lb.pdf4 Oct 2013: if ψ = 0at r = a then Rnk(a) = Jn(ka) = 0 so for each n, ka = kni with i = 1, 2,. -
Mathematical Methods University of Cambridge Part IB Mathematical…
www.damtp.cam.ac.uk/user/dbs26/1BMethods/All.pdf30 Nov 2015: Mathematical Methods. University of Cambridge Part IB Mathematical Tripos. David Skinner. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge CB3 0WA. United Kingdom. d.b.skinner -
Elastohydrodynamic Synchronization of Rotating Bacterial Flagella
www.damtp.cam.ac.uk/user/lauga/papers/210.pdf18 May 2022: Elastohydrodynamic Synchronization of Rotating Bacterial Flagella. Maria Tătulea-Codrean 1,2 and Eric Lauga 1,1Department of Applied Mathematics and Theoretical Physics, University of Cambridge,. Cambridge CB3 0WA, United Kingdom2Collège de France -
Numerical studies of the influence of the dynamic contact ...
www.damtp.cam.ac.uk/user/hinch/publications/PhysFluids_21_072102.pdf28 Sep 2009: respectively. These parameters ka and krare determined as the best fit parameters to the measurement. ... As parameters of the contact angle model, mda= 107, e = 90, mdr = 77, ka = 9.0 10. -
Do Rossby-wave critical layers absorb, reflect, or over-reflect?
www.damtp.cam.ac.uk/user/mem/killworth-mcintyre-jfm85.pdf5 Dec 2007: J. Fluid Mech. (1986), vol. 161, p p. 449-492 Printed in &eat Britain. 449. Do Rossby-wave critical layers absorb, reflect, or over-reflect? By PETER D. KILLWORTH? A N D MICHAEL E. M c I N T Y R E Department of Applied Mathematics & Theoretical -
Visualizing Protein-Nucleic Acid Interactions on a Large Scale with…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/AFM/rivetti.pdf13 Nov 2010: Annu. Rev. Biophys. Biomol. Struct. 1996. 25:395-429 Copyright 0 I996 by Annual Reviews Inc. All rights reserved. VISUALIZING. INTERACTIONS ON A LARGE SCALE WITH THE SCANNING FORCE MICROSCOPE. PROTEIN-NUCLEIC ACID. Carlos Bustamante" and Claudio -
Journal of Integrable Systems (2016) 00, 1–13doi:…
www.damtp.cam.ac.uk/user/md327/CD16.pdf10 Jan 2017: A linear functionon T given by κ = Ka(X)Ẋ a is called a first integral if dκ/dτ = 0 when (1.1) holds, or equivalently if. -
PCE845.fm
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Pickard03.pdf2 Sep 2012: Kachar & Reese 1989; Lichtscheidl & Balu ka 2000).Nevertheless, ‘relatively little is known about the biogene-sis, dynamics, maintenance, and inheritance of the organelleitself’ (Powell & Latterich 2000). ... al. 1999); and (v) thatthe actin -
PII: 0375-9601(85)90463-3
www.damtp.cam.ac.uk/user/gold/pdfs/interaction_driven.pdf10 Apr 2011: Tem- perature is T = - l/Ka, normalized to the critical coupling of the Ising model. -
201019079 1..6
www.damtp.cam.ac.uk/user/gold/pdfs/PNAS-2011-Drescher-1019079108.pdf20 Jun 2011: 38. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions. -
201202032 14308..14313
www.damtp.cam.ac.uk/user/gold/pdfs/mesoscale.pdf5 Sep 2012: J R Soc Interface 8:1314–1331. 22. Kurtuldu H, Guasto JS, Johnson KA, Gollub JP (2011) Enhancement of biomixingby swimming algal cells in two-dimensional films. ... J EngMath 10:287–303. 58. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows -
Fluctuations, Dynamics, and the Stretch-Coil Transition of Single…
www.damtp.cam.ac.uk/user/gold/pdfs/stretch_coil.pdf19 Jan 2012: detail, including a fluctuation-rounded stretch-coil transition of actin filaments. DOI: 10.1103/PhysRevLett.108.038103 PACS numbers: 87.16.Ka, 47.63.b, 83.50.Jf, 87.15.H. -
, 20131160, published 26 February 201411 2014 J. R. ...
www.damtp.cam.ac.uk/user/gold/pdfs/LagLockSyncSlip.pdf26 Feb 2014: 20131160, published 26 February 201411 2014 J. R. Soc. Interface Kirsty Y. Wan, Kyriacos C. Leptos and Raymond E. Goldstein Lag, lock, sync, slip: the many 'phases' of coupled flagella. -
Part III: Biological Physics (Michaelmas 2014) R E Goldstein ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/BiologicalPhysics201415_Examples3.pdf10 Nov 2014: Part III: Biological Physics (Michaelmas 2014) R E Goldstein (06/11/14). Examples Sheet #3. 1. Nonlinear Diffusion. For the nonlinear diffusion equation Ct = D(CpCx)x, where p and D. are strictly positive constants, show that the self similar -
November 2014 EPL, 108 (2014) 34003 www.epljournal.orgdoi:…
www.damtp.cam.ac.uk/user/lauga/papers/100.pdf5 Nov 2014: ψ1 = Re. [. n=1. ω. ka(n)NN(1 nky)e. nkyein(kxωt)]. (9). Notably, the flow described by eq. -
Cosmic jerk, Snap and beyond
www.damtp.cam.ac.uk/user/md327/MD_gary.pdf17 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). -
1B Methods 62 . 1B METHODS LECTURE NOTES Richard ...
www.damtp.cam.ac.uk/user/examples/B8Lc.pdf4 Oct 2013: Its FT is easy to calculate:. f̃(k) =. aaeikx dx =. aa. cos(kx) dx =2 sin(ka). k. (41). so by the Fourier inversion theorem we get. ... 1. π. eikxsin ka. kdk =. {1 |x| < a,0 |x| > a. -
Elastohydrodynamic synchronization of rotating bacterial flagella…
www.damtp.cam.ac.uk/user/mt599/papers/2022-prl.pdf10 May 2022: Elastohydrodynamic synchronization of rotating bacterial flagella. Maria Tătulea-Codrean1, 2 and Eric Lauga1, 1Department of Applied Mathematics and Theoretical Physics,. University of Cambridge, Cambridge CB3 0WA, United Kingdom2Collège de -
4. Phonons Until now, we’ve discussed lattices in which ...
www.damtp.cam.ac.uk/user/tong/aqm/aqmfour.pdf19 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. -
Part III: Biological Physics and Complex Fluids (Michaelmas, 2016)R…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/Bio_and_Complex2016_Examples3.pdf14 Nov 2016: Part III: Biological Physics and Complex Fluids (Michaelmas, 2016)R E Goldstein (02/10/16). Example Sheet #3. 1. A forced particle. A microsphere of radius a and drag coefficient ζ is constrained to movealong the x-axis, and is acted on by an -
solidstate
www.damtp.cam.ac.uk/user/tong/aqm/solid4.pdf7 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. -
2 Hilbert Space The realm of Quantum Mechanics is ...
www.damtp.cam.ac.uk/user/dbs26/PQM/chap2.pdf8 Oct 2021: kA| ik M k| ik for some fixed M > 0. -
doi:
www.damtp.cam.ac.uk/user/drh39/2013_stability.pdf1 Dec 2023: J. Fluid Mech. (2013), vol. 737, pp. 205–231. c Cambridge University Press 2013 205doi:10.1017/jfm.2013.559. Stability of columnar convection in a porousmedium. Duncan R. Hewitt1,†, Jerome A. Neufeld1,2,3 and John R. Lister1. 1Institute of -
LECTURE NOTES FOR IIB PARTIAL DIFFERENTIALEQUATIONSM. S. JOSHI AND ...
www.damtp.cam.ac.uk/user/dmas2/public_ps/pdewj.pdf27 Oct 2010: k CkA BkeMjtt0j1M ka bkeMjtt0jwhere C is a constant depending only on A and a.Proof. ... deningfn(t) = ka bk CkA Bkj(t t0)j M Z tt0 fn1(s)ds: (2.6). -
The effect of particle interactions on dynamic light scattering from…
www.damtp.cam.ac.uk/user/hinch/publications/JFM167_131.pdf23 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). -
Geometric pumping in autophoretic channels
www.damtp.cam.ac.uk/user/lauga/papers/107.pdf4 Aug 2015: The problem is now completely specified bythree geometrical quantities, namely the non-dimensionalmean gap, H = kH, the corrugation amplitude, a = ka, andthe asymmetry parameter, g. -
PHYSICAL REVIEW E 84, 061905 (2011) Energetics of synchronized ...
www.damtp.cam.ac.uk/user/lauga/papers/62.pdf26 Jul 2013: FIG. 4. (Color online) Instantaneous velocity and pressure fields (left) and z component of the vorticity (right) for the in-plane beating oftwo flagella, with ka = kb = 0.05, R = 1, ... Bottom: Variation of the ratio of the minimum to themaximum of the -
Traces of surfactants can severely limit the drag reduction of…
www.damtp.cam.ac.uk/user/gold/pdfs/Traces.pdf12 Jul 2017: Acc Chem Res 35:491–499. 44. Mori N, Chang KA (2003) Introduction to mpiv. -
15320956277210 1..9
www.damtp.cam.ac.uk/user/gold/pdfs/resultsresults.pdf20 Jul 2018: DOI: https://doi.org/10.7554/eLife.17210, PMID: 27529126. Michaelis L, Menten ML, Johnson KA, Goody RS.2011. -
Sensing in the Mouth: A Model for Filiform Papillae as Strain…
www.damtp.cam.ac.uk/user/lauga/papers/124.pdf1 Oct 2016: J Phys Chem. (1927) 31:1663–8. doi: 10.1021/j150281a004. 32. Adapa S, Dingeldein H, Schmidt KA, Herald TJ. -
Multiparticle superfields and superstring amplitudes
www.damtp.cam.ac.uk/research/hep/files/conferences/EurostringTalks/Mafra.pdf6 Feb 2019: Multiparticle superfields and superstring amplitudes. Carlos R. Mafra. (work with Oliver Schlotterer). Department of Applied Mathematics and Theoretical PhysicsUniversity of Cambridge. C.R. Mafra (DAMTP) Non-linear SYM 25.03.2015 1 / 26. Breaking -
DOI 10.1140/epje/i2015-15007-6 Regular Article Eur. Phys. J. E (2015) …
www.damtp.cam.ac.uk/user/lauga/papers/104.pdf14 Nov 2019: n c = 1 Da c. (45). Here the Damköhler number Da = Ka/κ is a measureof the relative magnitude of reaction and diffusion. -
PROCEEDINGS OF SPIE…
www.damtp.cam.ac.uk/user/ms100/PAPERS/SPIE-Bayesian2007.pdf2 Feb 2020: These microwave frequencies are typically in the C, S, X, Ka, or Ku bands (frequencies above about 1000 MHz). -
Structured light enables biomimetic swimming and versatile locomotion …
www.damtp.cam.ac.uk/user/lauga/papers/116.pdf24 May 2016: ARTICLESPUBLISHED ONLINE: 15 FEBRUARY 2016 | DOI: 10.1038/NMAT4569. Structured light enables biomimetic swimmingand versatile locomotion of photoresponsivesoft microrobotsStefano Palagi1, Andrew G. Mark1, Shang Yik Reigh2, Kai Melde1, Tian Qiu1,3, -
J. Fluid Mech. (2023), vol. 963, A24, doi:10.1017/jfm.2023.336…
www.damtp.cam.ac.uk/user/lauga/papers/216.pdf24 Jul 2023: 2κ̃y (arctan(K2) π/2 θ0) κ̃x ln(K1). ), (3.46). y(t) y(0) = 2(2κ̃2x κ̃ 2y )Ka. -
Four–dimensional metrics conformal to Kähler
www.damtp.cam.ac.uk/user/md327/Dun_Tod_Math_Proc_final.pdf8 Apr 2010: 210). for some one–form Ka. Note that (210) follows from (28) withK A A′ = ω B′A′ ϒB′ A, (211). ... Then (29, 210, 215) must hold with. constant , in which case Ka vanishes but from (215) we deduce = 0 ; φA B A′ B′ = ωA′ B′ ρA B. -
Publications | Astrophysics
www.damtp.cam.ac.uk/research/astro/publications?page=491 Jul 2024: Electron excitation of Be-like Fe XXIII for the n=2,3,4 configurations. MC Chidichimo, G Del Zanna, HE Mason, NR Badnell, JA Tully, KA Berrington. – -
solidstate
www.damtp.cam.ac.uk/user/tong/aqm/solid2.pdf7 Apr 2021: value. E = E0 2t cos(ka) (2.5). The spectrum is shown in the figure for t > 0. -
Raining into shallow water as a description of the collapse of a…
www.damtp.cam.ac.uk/user/hinch/publications/JFM554_259.pdf8 Jul 2009: This should be compared withLube et al.’s (2005) results who found for a > 1.15 a similar dependence with a:h/r0 = ka. -
2. Band Structure In this chapter, we start our ...
www.damtp.cam.ac.uk/user/tong/aqm/aqmtwo.pdf19 Jul 2019: value. E = E0 2t cos(ka) (2.5). The spectrum is shown in the figure for t > 0. -
Small acoustically forced symmetric bodies in viscous fluids
www.damtp.cam.ac.uk/user/lauga/papers/117.pdf4 Mar 2016: Small acoustically forced symmetric bodies in viscous fluids. François NadalCommissariat a l’Energie Atomique, 33114 Le Barp, France. Eric Laugaa). Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 -
� ������� �� ����������������� ���������! "�#���%$ &���' …
www.damtp.cam.ac.uk/user/mem/oldftp/polarcool.pdf19 Oct 2013: ó ö ëLë BnF í öJLFLö-K ëlê D[F é KÁ@ òóí ø ê @pöFWK5î ð ø¥FWJö5ñ ê¥ò ø¥KpF ý ñ êÒëLê û#ø¥K¿ö-Dî ê Dù0JöJK5î[Jö-î ... ïí K5î ê F ê¥ò D ë F é öF@ ò D ú J ó K5îF é KÄ@pö ð ë K ëÁò ùbF é K -
D17L.dvi
www.damtp.cam.ac.uk/user/examples/D17L.pdf25 Jan 2007: N M Mt 2ik2[σ3, M ] kA(x, t)M B(x, t)M. (4.3.13). -
1 of 7 978-1-4244-2677-5/08/$25.00 ©2008 IEEE FAILURE PREDICTION AND…
www.damtp.cam.ac.uk/user/ms100/PAPERS/IEEE-Bayesian2008.pdf13 Dec 2018: These microwave frequencies are typically in the C, S, X, Ka, or Ku bands (frequencies above about 1000 MHz). -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/aqm/solidstate.pdf7 Apr 2021: Preprint typeset in JHEP style - HYPER VERSION Lent Term, 2017. Solid State PhysicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. -
The Nonlinear Graviton as anIntegrable System � Maciej Dunajski ...
www.damtp.cam.ac.uk/user/md327/dunajski_thesis.pdf6 Nov 2014: The Nonlinear Graviton as anIntegrable System. Maciej Dunajski. Merton College. University of Oxford. A thesis submitted for the degree of. Doctor of Philosophy. Trinity 1999. Abstract. The curved twistor theory is studied from the point of view of -
justaqm
www.damtp.cam.ac.uk/user/tong/aqm/justthree.pdf7 Apr 2021: value. E = E0 2t cos(ka) (3.5). The spectrum is shown in the figure for t > 0. -
Knuz3.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_07.pdf31 Jul 2008: On modified asymptotic series involving confluent. hypergeometric functions. Alfredo DeañoDAMTP, Centre for Mathematical Sciences,. University of Cambridge,Wilberforce Road, CB3 0WA, UK. Nico M. TemmeCWI, P.O. Box 94079, 1090 GB Amsterdam, The -
pnas201210548 1187..1192
www.damtp.cam.ac.uk/user/gold/pdfs/ciliary_contact.pdf3 Feb 2013: Phys Rev Lett 105(16):168101. 17. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions. -
Motility and phototaxis of Gonium, the simplest differentiated…
www.damtp.cam.ac.uk/user/gold/pdfs/Gonium_pre.pdf24 Feb 2020: PHYSICAL REVIEW E 101, 022416 (2020). Motility and phototaxis of Gonium, the simplest differentiated colonial alga. Hélène de Maleprade ,1 Frédéric Moisy ,2 Takuji Ishikawa ,3 and Raymond E. Goldstein 1,1Department of Applied Mathematics and
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