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Preliminaries: What You Need To Know Quantum field theory ...
www.damtp.cam.ac.uk/user/tong/qft/prelim.pdf19 Oct 2007: dxδ(x) = 1 (1.24). The Fourier transform of the delta-function provides a useful representation that we. -
University of Cambridge
www.damtp.cam.ac.uk/research/lab/safety/SolventPermit.doc21 Oct 2014: R23/24/25 Toxic by inhalation, in contact with skin and if swallowed. ... R39/24 Toxic: danger of very serious irreversible effects in contact with skin. -
December 2016 EPL, 116 (2016) 64004 www.epljournal.orgdoi:…
www.damtp.cam.ac.uk/user/lauga/papers/131.pdf8 Nov 2017: Chlamydomonas is a pulleron average but in fact oscillates between instantaneouspusher and puller behaviours [24], potentially interferingwith the development of an instability. ... Rev. FluidMech., 24 (1992) 313. [20] Jibuti L., Qi L., Misbah C., -
Flow-driven compaction of a fibrous porous medium
www.damtp.cam.ac.uk/user/drh39/2019_compact.pdf1 Dec 2023: Moreover, the onlyexisting models of freeness are semi-empirical and based on the average filter resistance of thecompacting pulp [22–24]. ... 24)The integral of Eq. (22) across the height of the solid also provides the global force balancecondition,. -
Version 1.0, February 2005 Page 1 University of Cambridge ...
www.damtp.cam.ac.uk/research/lab/safety/SolventPermit.pdf21 Oct 2014: Volatile Solvent Permits can only be issued within 24 hours of the work commencing. ... skin R39/24/25 Toxic: danger of very serious irreversible effects in contact. -
June 2009 EPL, 86 (2009) 64001 www.epljournal.orgdoi:…
www.damtp.cam.ac.uk/user/lauga/papers/28.pdf26 Jul 2013: 24),simplifies to. F̂ 〈U2〉=. V0. 〈Σ[u1]〉 :ûdV. (26). 64001-p4. Life at high Deborah number. ... 24] Leal L. G., Annu. Rev. Fluid Mech., 12 (1980) 435.[25] Blake J. -
munich_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics. -
DOI 10.1140/epje/i2018-11728-2 Regular Article Eur. Phys. J. E (2018) …
www.damtp.cam.ac.uk/user/lauga/papers/153.pdf14 Nov 2019: foodsources [15–18], behave near boundaries [19–23] and movein complex fluids [24–27]. ... k sin(2k)(13k2 48), (46). mw = 6 cos(2k)(24 48k2 7k4) 4(k6 9k4 36). -
Time Irreversibility and Criticality in the Motility of a Flagellate…
www.damtp.cam.ac.uk/user/gold/pdfs/gaitswitch.pdf3 Aug 2018: Received 24 June 2017; revised manuscript received 27 March 2018; published 3 August 2018). ... 3, 403 (1993).[24] S. Kamimura and R. Kamiya, Nature (London) 340, 476. -
Why Clothes Don’t Fall Apart: Tension Transmission in Staple Yarns
www.damtp.cam.ac.uk/user/gold/pdfs/yarns.pdf13 Apr 2018: 4 inset), cf. elastic fiberbundle models [24]. More generally, the LP approach toAmontons-Coulomb friction problems may have applica-tions in stress transmission in granular media, such as sandpiles and grain ... 13, 848 (2017). [24] S. Pradhan, A. Hansen -
Biophysical Fluid Dynamics in a Petri Dish George T. ...
www.damtp.cam.ac.uk/user/gold/pdfs/petridish130224.pdf13 Feb 2024: Rotletflows arise from (d) the bacterium Escherichia coli under confinement, generating flow field in (e) [24], (f)a magnetic nano stir bar [25], and (g) a macroscopic stirrer [26]. ... 23 eqs. 29-30. Stokeslet Main text eq. 24 eqs. 32-34.Rotlet Appendix -
Lect12.dvi
www.damtp.cam.ac.uk/user/na/PartII/Lect12.pdf7 Feb 2005: Mathematical Tripos Part IILent 2005. Professor A. Iserles. Numerical Analysis – Lecture 121. Methods 3.25A generalν-stageRunge–Kutta methodis. kl = f. . tn clh, yn h. ν. j=1. al,j kj. . where. ν. j=1. al,j = cl, l = 1, 2,. , -
Residual Dynamic Mode Decomposition Rigorous data-driven computation…
www.damtp.cam.ac.uk/user/mjc249/talks/INI_ResDMD.pdf9 Mar 2023: Kernels. 24/34. ResDMD computeswith error control. 𝜃0. •. •𝑂(𝜀). 𝜀 = “smoothing parameter”. •••. •. ... Slide 23: Spectral decomposition of operators. Slide 24: Spectral decomposition of operators. -
Dewatering of fibre suspensions by pressure filtration
www.damtp.cam.ac.uk/user/drh39/2016_pulp.pdf1 Dec 2023: D(φ) dζ = γ(φT φ0). φTD(φT)φT. t, (24). by using (21) and the time derivative of (22a). ... A brief description of each device is given here; more details can be found in the work ofPaterson.24. -
Dow nloa ded from http s://r oyal soci etyp ...
www.damtp.cam.ac.uk/user/lauga/papers/221.pdf12 Dec 2023: movement [24]. -
Rate invariance and scallop theorem in viscosity gradients
www.damtp.cam.ac.uk/user/lauga/papers/217.pdf24 Jul 2023: 106, 27 (2016).[24] L. Schwarz, M. Medina-Sánchez, and O. G. Schmidt, Hybrid biomicromotors, Appl. ... symmetry breaking, Phys. Fluids 24, 103102 (2012).[36] J. P. Binagia and E. -
Building on Oldroyd’s viscoplastic legacy:…
www.damtp.cam.ac.uk/user/drh39/2021_oldroyd.pdf1 Dec 2023: 𝑤(𝜍,𝑌) = 𝑊 & 𝑤𝜂(𝜍,𝑌) = 0, (24). here 𝜂 = 𝑌 are the bordering yield surfaces where the plug havepeeds 𝑊. ... For a free shear layer with 𝛶𝑛1 = 𝜅 = 0, there is a self-similarolution to (23) and (24) of the form. = -
Imperial_NLEVPs
www.damtp.cam.ac.uk/user/mjc249/talks/Imperial_NEP_mjc.pdf15 Jul 2023: Matthew Colbrook. University of Cambridge. 24/05/2023www.damtp.cam.ac.uk/user/mjc249/home.html. Joint work with. Alex Townsend. ... Slide 23. Slide 24: Example 4: Planar waveguide. Slide 25: Example 4: Planar waveguide. -
Stafford2009
www.damtp.cam.ac.uk/user/sje30/waverepo/fourplot/Stafford2009/zzz/Stafford2009_Beta2KO_37C_Nasal_2008-10-24-2.html28 Jan 2016: -
brum_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/birmingham_mjc.pdf20 Sep 2023: Too little ortoo much arousal results inpoorer performance. 24. • Inf.-dim. ... Slide 23: Quadrature with trajectory data. Slide 24: Example: Verified modes. -
Lect23.dvi
www.damtp.cam.ac.uk/user/na/PartII/Lect23.pdf4 Mar 2005: Implementation 5.24 It is quite usual to solvehyperbolic PDEs (advection equation, wave equation,Schr̈odinger equation, Euler equations of invicid compressibleflow. ) -
British Higher Education Policy in the last Twenty Years: The Murder…
www.damtp.cam.ac.uk/user/mem/papers/LHCE/uk-higher-education.html19 Oct 2013: 24. The oldest strain of such non-conformism is Calvinist, Puritan. -
S0022143021001210jra 1..20
www.damtp.cam.ac.uk/user/drh39/2021_glacier.pdf1 Dec 2023: 1a), and a hose thermal conduct-ivity of 0.24 W m1 K1. ... The yellow shade marks the 24 h period selected to define h0 (36 60 h post-breakthrough). -
Dynamic mechanisms for apparent slip on hydrophobic surfaces Eric ...
www.damtp.cam.ac.uk/user/lauga/papers/7.pdf26 Jul 2013: Ishida et al.[21]. Tyrrell and Attard[22]. Tyrrell and Attard[23]. Steitz et al.[24]. ... These sizes are in agreement with the ex-perimental evidence of bubbles in Refs.[21–24], as summa-rized in Table I, although somewhat smaller. -
Soft Matterrsc.li/soft-matter-journal ISSN 1744-6848 PAPERThomas D.…
www.damtp.cam.ac.uk/user/lauga/papers/128.pdf8 Nov 2017: This technique allows theasymptotic exploration of a range of ribbon structures, such asartificial microswimmers comprising a magnetic head and aribbon tail.22–24. ... 24 L. Zhang, K. E. Peyer and B. J. Nelson, Lab Chip, 2010, 10,2203–2215. -
Swirling Instability of the Microtubule Cytoskeleton
www.damtp.cam.ac.uk/user/gold/pdfs/swirling.pdf13 Jan 2021: actin. Here, through a combination of direct computationson the coupled filament-flow problem [24] and studies of acontinuum theory for dense filament suspensions [28], weconfirm this hypothesis by showing the existence ... ffiffiffiffiffiffiffiffiffiffif -
Dr A. Hansen Mathematical Tripos Part II: Michaelmas Term ...
www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/b15.pdf29 Oct 2020: 19 on the Example Sheets). Method 3.24 (The spectral method for evolutionary PDEs) We consider the problemu(x,t). ... û′n(t) = π2n2ûn(t). n ΓN (3.24). Its exact solution is ûn(t) = eπ2n2t ĝn for n 6= 0 and we set û0(t) = 0 due to -
Legendrean and G2 Contact Structures Timothy Moy April 1, ...
www.damtp.cam.ac.uk/user/tjahm2/MoyThesis.pdf24 Aug 2023: a1.ak. 7! J[a1a2! a3.ak2] (1.1.24). and h : H! H is defined by. -
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: δjk 12. dR̂jdŝ. dR̂kdŝ. )(ũk (R̂) ũk (ŝ). )dŝ,. (2.24). where R̂i = R̃i(ŝ). ... 3.1.1. Computation of forces and torquesUnder this parametrisation, (2.24) becomes. Ji = η̃s2. [ -
Proving Existence Is Not Enough_ Mathem...al Networks in Artificial…
www.damtp.cam.ac.uk/user/mjc249/pdfs/ProvingExistenceIsNotEnough.pdf2 May 2022: CF4@QSR9O4<.C2,-CC0,>2/.C24@01?4/=2A;C1=-022A-A-0/24@,.;-/=E010,01FC=CQTR9UA-10E54@/4<.C2,-CC0,>2/.C2=,VP=CA-,E-2A-VEA=11-CWA--14@ ... 4-CXY1-0>24.,C20<1-;-2A4>C0,>VP_?-,-/02->A011.E=,02=4,CH-B-,=,CE-,0/=4C3A-/-3-E0,D/4B-2A02C20<1-0,>0EE./02-77C-Z=C2IG./; -
Active Particles Powered by Quincke Rotation in a Bulk Fluid
www.damtp.cam.ac.uk/user/lauga/papers/162.pdf27 May 2019: electrohydrodynamics of a cylindrical and helical particle[24,25] (see the Supplemental Material [26] for details). ... Rev. Fluid Mech. 48, 105 (2016).[24] C. Pozrikidis, A Practical Guide to Boundary Element. -
PRL 93, 238301 (2004) P H Y S I ...
www.damtp.cam.ac.uk/user/lauga/papers/9.pdf26 Jul 2013: 4 6 1 1 13 24 1 1 21 40 1 15 6 1 3 14 28 3 1 22 42 1 16 12 3 1 15a 30 3 1 23 ... 43 2 37 12 1 1 15b 30 3 1 24 60 15 18 16 3 1 16 32 3 1 25 48 1 19 18 3 1 17 34 3 -
electro
www.damtp.cam.ac.uk/user/tong/em/el5.pdf3 Dec 2022: 162r2c3|m̈|2 sin2 ẑ (6.24). – 150 –. Integrating over all space gives us the power emitted,. -
Koopman_turing_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf23 May 2024: 24. Residual DMD (ResDMD). -
Examples2.dvi
www.damtp.cam.ac.uk/user/na/PartII/Examples2.pdf7 Feb 2005: y0, n = 0, 1, 2,. 24. The following four-stage Runge–Kutta method has order four,. -
http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address:…
www.damtp.cam.ac.uk/user/hinch/publications/JFM56_803.pdf24 Aug 2009: http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address: 131.111.16.227. J. Fluid Mech. ... http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address: 131.111.16.227. 804 E. J. -
PNAS202212078_proof
www.damtp.cam.ac.uk/user/lauga/papers/213.pdf9 Nov 2022: Newtonian fluids, includingboth short-range and long-range hydrodynamic interactions,direct collisions, and Brownian motion (24, 28, 29, 31, 32,43, 44). ... 24) forNewtonian fluids to predict the size of the radius of curvatureusing the distribution of -
Metrisability of Painlevé equations
www.damtp.cam.ac.uk/user/md327/cd18.pdf10 Mar 2018: A different approach was developed by Painlevé, Kowalevskaya, and Gambier who studied 2ndorder ODEs in the complex domain.16,24. ... Proc. Cambridge Philos. Soc. 156, 99–113. (2014).24 Painlevé, P., “Sur les équations différentielles du -
Exact Coherent States: Importance &Identification Rich Kerswell…
www.damtp.cam.ac.uk/user/rrk26/Udine_LT34_RRK.pdf2 Jun 2019: Rev.Fluid Mech., 43 (2011), pp. 1–24. [19] C. C. T. Pringle, Y. ... Rev. E, 78(2008), p. 037301. [24] T. M. Schneider, D. Marinc, and B. -
Cosmological Einstein--Maxwell instantons and Euclidean supersymmetry
www.damtp.cam.ac.uk/user/md327/DGST1.pdf20 Jan 2011: American University ofBeirut, Beirut, Lebanon5 The Mathematical Institute, Oxford University, 24–29 St Giles, Oxford OX1 3LB, UK. ... Substituting (2.24) into (2.23) gives the system (2.18) for the1-forms ei. -
Stafford2009
www.damtp.cam.ac.uk/user/sje30/waverepo/fourplot/Stafford2009/zzz/Stafford2009_Beta2KO_37C_Ventral_2008-10-24-0.html28 Jan 2016: -
Subpopulations and stability in microbial communities
www.damtp.cam.ac.uk/user/gold/pdfs/subpopulations.pdf12 May 2020: Infections can thus be difficult to treateven in the absence of genetic antibiotic resistance; for thisreason, this phenotype has great biomedical relevance [24,27]. ... These might arise from antibi-otic treatments, which bacterial communities can -
Spontaneous onset of convection in a uniform phoretic channel
www.damtp.cam.ac.uk/user/lauga/papers/173.pdf5 Feb 2020: 8 S. K. Sia and G. M. Whitesides, Electrophoresis, 2003, 24,3563–3576. ... 23 A. Cloot and G. Lebon, J. Fluid Mech., 1984, 145, 447–469.24 L. -
INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 18 (2005)…
www.damtp.cam.ac.uk/user/gold/pdfs/spin.pdf10 Apr 2011: 24). 232 A I Pesci et al. where we have used the notation i /xi. ... The equationof motion for u can be recast in the form (24) by taking its gradient and then replacing. -
Autophoretic motion in three dimensions
www.damtp.cam.ac.uk/user/lauga/papers/146.pdf19 Oct 2018: where. T 2X‘. A‘þ1;2ffiffiffiffiffiffiffiffiffiffiffiffiffi2‘þ3p. ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi‘2 þ2‘þ3. 2‘þ1. sM‘2. 24. ‘þ1‘þ2. ... Brown and W. Poon, Soft Matter, 2014, 10, 4016–4027.24 -
Turing’s Diffusive Threshold in Random Reaction-Diffusion Systems
www.damtp.cam.ac.uk/user/gold/pdfs/turing.pdf9 Jun 2021: activator” [24,25], the com-plicated instability conditions for N > 2 [26] do not lendthemselves to analytical progress.Here, we analyze the diffusive threshold for Turing. ... Natl. Acad. Sci. U.S.A.115, 6572 (2018). [24] A. J. Koch and H. -
Embryonic inversion in Volvox carteri: The flipping and peeling of…
www.damtp.cam.ac.uk/user/gold/pdfs/lips.pdf30 Nov 2018: 9. 5a2λ4′4. }. Eh3. 24(1 ν2 ){K 2s K 2φ 2νKs Kφ 3κ 0s. ... In fact, Ueki and Nishii [24] studied the InvB mutant ofVolvox carteri in which the embryonic vesicle fails to growproperly during development. -
A stochastic model for bacteria-driven micro-swimmers
www.damtp.cam.ac.uk/user/lauga/papers/158.pdf27 May 2019: pRR. pTR. 24. 35. lR þlTe lRþlTð ÞtlR þ lT. lT lTe lRþlTð ÞtlR þ lT. ... Tt. :. (24). The MSD follows from a double integration in time of eqn (24),leading to the result. -
Active rotational dynamics of a self-diffusiophoretic colloidal motor
www.damtp.cam.ac.uk/user/lauga/papers/172.pdf5 Feb 2020: motor surface.22 Active rotational motion hasalso been studied for Janus motors with a coupling of electro-chemical forces to fluid flow23 or under an external field such asgravity,24 nonspherical ... dy:. (24). The integral in eqn (24) may be evaluated -
Stafford2009
www.damtp.cam.ac.uk/user/sje30/waverepo/fourplot/Stafford2009/zzz/Stafford2009_Beta2KO_37C_Temporal_2008-01-29-4.html28 Jan 2016:
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