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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). -
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. -
2. Yang-Mills Theory Pure electromagnetism is a free theory ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf26 Jun 2024: 2. Yang-Mills Theory. Pure electromagnetism is a free theory of a massless spin 1 field. We can ask: is it. possible to construct an interacting theory of spin 1 fields? The answer is yes, and the. resulting theory is known as Yang-Mills. The -
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 -
, 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. -
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. -
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. -
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. -
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. -
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 -
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). -
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 -
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. -
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). -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf26 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION 2018. Gauge Theory. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK. -
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. -
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. -
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 -
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 -
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. -
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). -
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. -
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. -
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, -
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. -
Publications | Astrophysics
www.damtp.cam.ac.uk/research/astro/publications?page=497 Jul 2024: MC Chidichimo, G Del Zanna, HE Mason, NR Badnell, JA Tully, KA Berrington. – -
Publications | Relativity and Gravitation Group
www.damtp.cam.ac.uk/research/gr/publications?year=2002&page=387 Jul 2024: S Hild, D Hoak, KA Hodge, D Hofman, K Holt, P Hopkins, T Horrom, D Hoske, DJ Hosken, J Hough, EJ Howell, Y Hu, E Huerta, B Hughey, S Husa, SH ... B Sorazu, T Souradeep, A Staley, J Stebbins, M Steinke, J Steinlechner, S Steinlechner, BC Stephens, S -
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. -
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 -
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. -
Publications | Astrophysics
www.damtp.cam.ac.uk/research/astro/publications?page=517 Jul 2024: MR Bate, SH Lubow, GI Ogilvie, KA Miller. – Monthly Notices of the Royal Astronomical Society. -
Publications | Soft Matter
www.damtp.cam.ac.uk/research/softmatter/publications?page=177 Jul 2024: EM Herzig, KA White, AB Schofield, WCK Poon, ME Cates, PS Clegg. – -
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. -
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 -
Stability of an acid front moving through porous rock
www.damtp.cam.ac.uk/user/hinch/publications/JFM212_279.pdf21 Jul 2009: constants. Far from the front. u1 - kA e-lkxl when lkXl is 0(1), using the matching of u1 a t the leading O ( k ) constant term. -
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. -
elifesciences.org Brumley et al. eLife 2014;3:e02750. DOI:…
www.damtp.cam.ac.uk/user/gold/pdfs/Brumley_etal.pdf30 Jul 2014: elifesciences.org. Brumley et al. eLife 2014;3:e02750. DOI: 10.7554/eLife.02750 1 of 15. Flagellar synchronization through direct hydrodynamic interactionsDouglas R Brumley1,2†, Kirsty Y Wan1†, Marco Polin1,3, Raymond E Goldstein1. 1Department -
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 -
Colloid Transport by Interfacial Forces
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/AndersonARFM.pdf2 Oct 2016: The right side of (38) is order (Ka)-l exp (ZeIW2kT] compared with the left side, so that the classical boundary condition (33) does not necessarily apply if the zeta potential ... is too large, even if (Ka)-l is small. -
Dunajski
www.damtp.cam.ac.uk/user/md327/DW08.pdf18 Mar 2008: nullgeodesics. In spinors, if Ka D AoA0 then an ˛-plane distribution is defined by oA0 ,and a ˇ-plane distribution by A, and it follows from the Killing equation that -
Conformal Properties of Spacetime Peter James Cameron St John’s ...
www.damtp.cam.ac.uk/user/md327/cameron_thesis.pdf10 Feb 2023: Conformal Properties of Spacetime. Peter James Cameron. St John’s College. Department of Applied Mathematics and Theoretical Physics. University of Cambridge. Supervisor: Maciej Dunajski. This thesis is submitted for the degree of. Doctor of -
The millennial atmospheric lifetimeof anthropogenic CO2 David Archer…
www.damtp.cam.ac.uk/user/mem/archer-carbon-tail08.pdf30 Aug 2009: Kvenvolden KA (1988) Methane hydrate—a major reservoir of carbon in the shallow geosphere. -
rspa.royalsocietypublishing.org ResearchCite this article: Cooray H,…
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Cooray-2016.pdf20 Jan 2017: 2012 Wetting of flexible fibre arrays. Nature 482,510–513. (doi:10.1038/nature10779). 9. Wu X-F, Bedarkar A, Vaynberg KA. -
Magnus–Lanczos methods with simplified commutators for the…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2018_01.pdf3 Apr 2018: Magnus–Lanczos methods with simplified. commutators for the Schrödinger equation with a. time-dependent potential. Arieh Iserles, Karolina Kropielnicka† & Pranav Singh‡. April 4, 2018. AMS Mathematics Subject Classification: Primary 65M70, -
doi:10.1016/j.jtbi.2005.09.008
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Pickard06.pdf2 Sep 2012: gðrÞ azimuthal variation of the y-directed componentof the cytosolic velocity. Ka, Kb constants which appear in solving the parallelplate problem of Section 5. -
Commutator-free Magnus–Lanczos methods for the linear Schrödinger…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2017_05.pdf3 Oct 2017: Commutator-free Magnus–Lanczos methods for the. linear Schrödinger equation. Arieh Iserles, Karolina Kropielnicka† & Pranav Singh‡. October 3, 2017. AMS Mathematics Subject Classification: Primary 65M70, Secondary 35Q41,65L05, 65F60. Keywords
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