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Preprint typeset in JHEP style - HYPER VERSION Statistical ...
www.damtp.cam.ac.uk/user/tong/statphys/statphys.pdf29 Dec 2023: Preprint typeset in JHEP style - HYPER VERSION. Statistical PhysicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. -
QUANTUM MECHANICS Maciej Dunajski Department of Applied Mathematics…
www.damtp.cam.ac.uk/user/md327/aims_lecture.pdf27 Nov 2007: 0 ikeika ikeika k̃ek̃a. = 0which yields. tan ka =2kk̃. -
� ����� ����� �� ��������� ������� ��������������� �…
www.damtp.cam.ac.uk/user/ngb23/publications/cluster.pdf18 Nov 2002: "#$% &'(%!) ,# #-'(. / 102 &-! &3-! 45 6507(8% ":9 1 &;< =. >@?BA?DCFEG?IHJLKNMPOQCFRDSTMUV?DOWAYX1MZ[A R]U_UCFEaMb/c?dAYefMX?dAYEFgPhi?]Z_b/jkefMR]OlMPAYEFg?]C:m&eonphQEagh. q"Z_EsroMOQhlEtAunR]v? ]Xw_OYEabfxyM]z[{2EFCtw|MPOl}RDOYgMkRo?]bzLv? -
doi:10.1016/j.physd.2003.10.007
www.damtp.cam.ac.uk/user/gold/pdfs/dynamicsuper.pdf10 Apr 2011: PACS: 87.17.d; 87.16.Ka; 05.45.a; 46.70.De. Keywords: Supercoil; Growth; Elastic filaments; Filamentous bacteria. -
J. Fluid Mech. (2014), vol. 747, pp. 572–604. c© ...
www.damtp.cam.ac.uk/user/lauga/papers/89.pdf24 Apr 2014: and is characterized by four non-dimensional numbers:. Pe= kBTAλ2a. ηf D2, Da= Ka. -
Green Algae as Model Organisms for Biological Fluid Dynamics
www.damtp.cam.ac.uk/user/gold/pdfs/green_algae.pdf25 Sep 2015: FL47CH15-Goldstein ARI 1 December 2014 20:34. Green Algae as ModelOrganisms for BiologicalFluid DynamicsRaymond E. GoldsteinDepartment of Applied Mathematics and Theoretical Physics, Centre for MathematicalSciences, University of Cambridge, -
rspa.royalsocietypublishing.org ReviewCite this article: Atiyah M,…
www.damtp.cam.ac.uk/user/md327/ADM_published.pdf10 Nov 2017: rspa.royalsocietypublishing.org. ReviewCite this article: Atiyah M, Dunajski M,Mason LJ. 2017 Twistor theory at fifty: fromcontour integrals to twistor strings. Proc.R.Soc.A 473: 20170530.http://dx.doi.org/10.1098/rspa.2017.0530. Received: 1 August -
Part II Statistical Mechanics, Lent 2005 Prof. R.R. Horgan ...
www.damtp.cam.ac.uk/user/rrh/notes/sphys.pdf14 Feb 2005: Part II Statistical Mechanics, Lent 2005. Prof. R.R. Horgan. February 14, 2005. 1 Statistical Mechanics. 1.1 Introduction. The classical and quantum dynamics of simple systems with few degrees of freedomis well understood in that we know the -
3. Electron Dynamics in Solids In the previous chapter ...
www.damtp.cam.ac.uk/user/tong/aqm/aqmthree.pdf19 Jul 2019: structure. E = C cos(ka). Then the velocity in a constant electric field oscillates as. ... v(k) =Ca. sin(ka) = Ca. sineEa t. The Bloch frequency is! = -
Geometric tuning of self-propulsion for Janus catalytic particles
www.damtp.cam.ac.uk/user/lauga/papers/133.pdf8 Nov 2017: a r t i c l e’s s u r f a c e τ τ ζ θ ζ ξ ζ = C kA D/ ( ) ( , ) (1 ) /0. -
201019079 10940..10945
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/Drescheretal11.pdf2 Sep 2012: 38. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions. -
Model for phase equilibria in micellar solutions of non ...
www.damtp.cam.ac.uk/user/gold/pdfs/JChemPhys_84_3367.pdf10 Apr 2011: 0.6. xc. 0.5 ---- --------Xc«Mn)a CXl)---------. 0.4. 0.4 0.5 0.6. ka T lu. -
220_2007_208_Article.dvi
www.damtp.cam.ac.uk/user/md327/Dunajski_West.pdf27 Jul 2007: K bb Ka = 12ηKa. Thus K is automatically geodesic, and if it is pure then its trajectories are parameterizedby an affine parameter. -
Secure state-estimation for dynamical systemsunder active adversaries …
www.damtp.cam.ac.uk/user/hf323/security_allerton2011.pdf6 Oct 2016: Hencethere exists xa 6= x(0), and e(0)a ,. ,e(T1)a with supp(e(t)a ) Ka that generate the same sequence y(0),. ... y(T1) of ob-served values, with in addition, |Ka| |K| q. We thereforehave two different initial conditions x(0) 6= xa and twodifferent -
Preprint typeset in JHEP style - HYPER VERSION Statistical ...
www.damtp.cam.ac.uk/user/tong/statphys/sp.pdf17 Apr 2021: Preprint typeset in JHEP style - HYPER VERSION. Statistical PhysicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. -
15632687789062 1..20
www.damtp.cam.ac.uk/user/lauga/papers/164.pdf20 Oct 2019: eLife 7:e40018. DOI: https://doi.org/10.7554/eLife.40018,PMID: 30033910. Guasto JS, Johnson KA, Gollub JP. ... 2009. The Chlamydomonas Sourcebook. 2nd edition. London: Academic Press.Hinchliff CE, Smith SA, Allman JF, Burleigh JG, Chaudhary R, Coghill LM, -
Vortices, Painlevé integrability andprojective geometry Felipe…
www.damtp.cam.ac.uk/user/md327/felipe_thesis.pdf3 Apr 2018: Vortices, Painlevé integrability andprojective geometry. Felipe ContattoQueens’ College. This dissertation is submitted for the degree of Doctor of Philosophy. Department of Applied Mathematics and Theoretical Physics. University of Cambridge. -
Preprint typeset in JHEP style - HYPER VERSION F́ısica ...
www.damtp.cam.ac.uk/user/tong/statphys/fisest.pdf25 Aug 2022: Preprint typeset in JHEP style - HYPER VERSION. F́ısica Estad́ıstica. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences. Wilberforce Road,. Cambridge, CB3 OBA, UK. -
This article was downloaded by:[Soward, Andrew]On: 5 March 2008Access …
www.damtp.cam.ac.uk/user/rrk26/Papers/Precession_GAFD1993.pdf12 Aug 2016: Representing the resonance between the modes @n,o,ka and by the label (n, k,, k,,), the solid circles represent (n, 1,l) resonances; the solid squares (n, 2,2) resonances; -
Natural Sciences Tripos, Part IB Michaelmas Term 2008 Mathematical ...
www.damtp.cam.ac.uk/user/gio10/nst_notes.pdf3 Oct 2008: Natural Sciences Tripos, Part IB. Michaelmas Term 2008. Mathematical Methods I. Dr Gordon Ogilvie. Schedule. Vector calculus. Suffix notation. Contractions using δij and ǫijk. Re-minder of vector products, grad, div, curl, 2 and their -
B10c.dvi
www.damtp.cam.ac.uk/user/examples/B10c.pdf4 Jan 2024: Ex = ωA sin(nπy. a. ). sin(kz ωt). and. By = kA sin(nπy. -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf20 Apr 2024: automatically patched at x = a as well. We have. (x) cts at x = a ) B cos ka = Aea. ... plot the graph = k tan ka in blue, and then superpose this with the circle. -
@let@token Spectrum Generating Symmetries of Magical and Maximal…
www.damtp.cam.ac.uk/research/hep/files/conferences/branes/pkt_talks/gunaydin.pdf6 Feb 2019: 2αβ. f. Qαg. Qβ. 1. 2ij. f. qig. qj,. Isometries are generated by Killing potentials KA(Q+,q+,u) that obey the. ... conservation law” KA {KA,L(4)} = 0. L(4) =P(4)(Q+). (qu)2. P(4)(Q+) = 112. -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/aqm/topicsinqm.pdf2 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,. -
Dr H. Fawzi Mathematical Tripos Part II: Michaelmas Term ...
www.damtp.cam.ac.uk/user/hf323/M23-II-NA/Lect09.pdf23 Oct 2023: Indeed, withk = t, we have:. Euler: un1 = (I kA)un, ez = 1 z O(z2);Implicit Euler: un1 = (I kA)1un, ez = (1 z)1 O(z2);. -
spn0.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/spn0.pdf1 Sep 2011: i j is js s, |i| :=. s. is. The following lemmas will be used frequently (see [Ka], pp. -
pnas201210548 1..6
www.damtp.cam.ac.uk/user/gold/pdfs/ciliary_contact_plus_SI_online.pdf7 Jan 2013: Phys Rev Lett 105(16):168101. 17. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions. -
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 -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/aqm/aqm.pdf31 May 2023: Preprint typeset in JHEP style - HYPER VERSION Lent Term, 2017. Applications of Quantum MechanicsUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical -
Publications | Astrophysics
www.damtp.cam.ac.uk/research/astro/publications?page=114 Jul 2024: KA Mizerski, HK Moffatt. – Geophysical and Astrophysical Fluid Dynamics. (2018). -
Publications | Cantab Capital Institute for the Mathematics of…
www.damtp.cam.ac.uk/research/ccimi/publications?page=224 Jul 2024: R Hložek, EEO Ishida, J Guillochon, SW Jha, DO Jones, KS Mandel, D Muthukrishna, A O’grady, CM Peters, JR Pierel, KA Ponder, A Prša, S Rodney, VA Villar. – -
RAPID COMMUNICATIONS PHYSICAL REVIEW E AUGUST 1997VOLUME 56, NUMBER…
www.damtp.cam.ac.uk/user/gold/pdfs/PRE56133097.pdf10 Apr 2011: RAPID COMMUNICATIONS. PHYSICAL REVIEW E AUGUST 1997VOLUME 56, NUMBER 2. Elastohydrodynamic study of actin filaments using fluorescence microscopy. D. Riveline,1 C. H. Wiggins,2 R. E. Goldstein,3 and A. Ott1,1Laboratoire PhysicoChimie Curie,† -
On two‐phase modeling of dewatering pulp suspensions
www.damtp.cam.ac.uk/user/drh39/2021_pulp.pdf1 Dec 2023: T R A N S P O R T P H E N O M E N A A N D F L U I D M E C H A N I C S. On two-phase modeling of dewatering pulp suspensions. Daniel T. Paterson1 | Tom S. Eaves2 | Duncan R. Hewitt3 | Neil J. Balmforth4 |. D. Mark Martinez1. 1Department of Chemical -
doi:
www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Hewitt-2013-1.pdf28 Nov 2013: 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 -
doi: 10.1098/rsta.2010.0225, 2133-2147369 2011 Phil. Trans. R. Soc. A …
www.damtp.cam.ac.uk/user/mem/wolff-phil-trans11.pdf5 Aug 2011: Although the strong correlationsuggests an almost constant and linear relationship, it actually appears as ifthe earliest part of the record (before about 650 ka) had lower mixing ratios(both absolutely and ... a) The last interglacial and methane. The -
dblp.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/dblp.pdf1 Sep 2011: On Lp-boundedness of the L2-projectoronto nite element spacesA. Yu. Shadrin1. IntroductionIn [Sh] we proved that, for p suciently close to 2, the Lp-norm of the L2-projector P onto the space S of polynomial splines of order k on a knot-sequence is -
How to recognize a conformally Kählermetric Maciej Dunajski…
www.damtp.cam.ac.uk/user/md327/Kahler_leeds.pdf20 Sep 2011: ω 6= 0 so ω defines a Killing vector Ka.Killing identity Ka RabKb = 0, where Rab = gab/4. ... M|K|2gd4x = 1. 4. M|K|2gd4x. Therefore Ka = 0 and our assumption was wrong. -
This isa super vis or’ sco py ofth enote ...
www.damtp.cam.ac.uk/user/sjc1/teaching/NSTIB/notes.pdf28 Oct 2006: This. isa. super. vis. or’. sco. py. ofth. enote. s.It. isnot. tobe. dis. trib. ute. dto. studen. ts. Natural Sciences Tripos: IB Mathematical Methods I. Contents. 0 Introduction i. 0.1 Schedule. i. 0.2 Books. ii. 0.3 Lectures. ii. 0.4 Printed -
SHA.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/dmrus.pdf1 Sep 2011: TO KA-SAETSQ PORQDKA POLIGARMONINOSTI (g) = @(f)=@xj, TO, POSKOLXKU OPERACIQ DIFFERENCIRO-WANIQ SOHRANQET TOT PORQDOK, IMEEMr2(g) = 0; = m1 1 2m1 = m:pREDLOVENIE 1a0, A S NIM I SLUAJ 1a) -
justaqm
www.damtp.cam.ac.uk/user/tong/aqm/justone.pdf23 Apr 2021: q. kA(eiqa/2 eiqa/2). Notice that only the combination (r t) appears. -
Anti-Self-Duality and Solitons Prim PlansangkateTrinity College…
www.damtp.cam.ac.uk/user/md327/prim_thesis.pdf7 Oct 2014: Anti-Self-Duality and Solitons. Prim PlansangkateTrinity College. University of Cambridge. Department of Applied Mathematics and Theoretical Physics. Faculty of Mathematics. Supervisor: Dr Maciej Dunajski. This dissertation is submitted for the -
Anti–self–dual fields and manifolds Moritz F. Högner Trinity College …
www.damtp.cam.ac.uk/user/md327/moritz_thesis.pdf6 Oct 2014: Anti–self–dual fields. and manifolds. Moritz F. Högner. Trinity College. Dissertation submitted for the Degree of Doctor of Philosophy. October 2012. Abstract. Anti–self–dual fields and manifoldsMoritz F. Högner. In this thesis we study -
justaqm
www.damtp.cam.ac.uk/user/tong/aqm/justfour.pdf7 Apr 2021: structure. E = C cos(ka). Then the velocity in a constant electric field oscillates as. ... v(k) =Ca. sin(ka) = Ca. sineEa. t. The Bloch frequency is! = -
Selectively controlled magnetic microrobots withopposing helices
www.damtp.cam.ac.uk/user/lauga/papers/176.pdf6 Jul 2020: Cobalt yielded an intrinsic rema-nent magnetization of $ 500 kA/m. Other magnetic materials, such asparamagnetic iron oxide, could be utilized with a stronger magneticfield. -
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,. -
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 -
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 -
ISlecture_notes_2012_part1.dvi
www.damtp.cam.ac.uk/user/md327/ISlecture_notes_2012.pdf10 May 2012: INTEGRABLE SYSTEMS. Maciej Dunajski. Department of Applied Mathematics and Theoretical Physics. University of Cambridge. Wilberforce Road, Cambridge CB3 0WA, UK. May 10, 2012. Contents. 1 Integrability in classical mechanics 41.1 Hamiltonian -
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.
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