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On the mechanisms of icicle evolution
www.damtp.cam.ac.uk/user/gold/pdfs/icicles_jfm.pdf10 Apr 2011: FT = kT. z. z=0. = kTL. Ra1/5θ ′(0). h(x), (2.20). ... 0.5 1.0 1.5 2.0 2.5 3.00. 5. 10. 15. 20. 25. -
P H Y S I C A L R ...
www.damtp.cam.ac.uk/user/gold/pdfs/necking.pdf10 Apr 2011: Adjacent wires have the samelength, from top to bottom: kFL 0, 10, 20, 40, 70, 105, and140. ... Kassubek, J. Bürki, and H. Grabert,. Phys. Rev. Lett. 83, 4836 (1999).[20] F. -
DAMTP 2010/NA04 Beyond symmetric Broyden for updating quadratic…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2010_04.pdf13 Apr 2011: and y+. 4=. (20. ), (3.4). 8. with t = 4, θ = 0 and v = xk1 = xk = y1. , ... 5000 and n 20, but,for n = 10, the norms ‖Ek‖F become of the magnitude of computer roundingerrors in the difference 2Qk2F. -
Optical metrics and projective equivalence Stephen Casey,* Maciej…
www.damtp.cam.ac.uk/user/md327/CDGW_file.pdf28 Apr 2011: Carter, and J. P. Lasota, Gen.Relativ. Gravit. 20, 1173 (1988). [4] S. -
Broken particle-hole symmetry in critical fluids Raymond E.…
www.damtp.cam.ac.uk/user/gold/pdfs/broken_particle_hole.pdf10 Apr 2011: The effective Hamiltonian in Eq. (20) has odd (and momentum dependent) terms just like those in the simpli-fied field-theoretic model Eq. ... 20) onto the field-mixing operator. For this purpose, we note on general grounds and independent of the -
Emergence of Synchronized Beating during the Regrowth of Eukaryotic…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/FDSE/GoldsteinPolinTuval11.pdf30 Sep 2011: 2Department of Global Change Research, Mediterranean Institute for Advanced Studies (CSIC-UIB), E-07190 Esporles, Spain(Received 20 June 2011; published 30 September 2011). ... 30 SEPTEMBER 2011. 148103-4. 20] S. Takada and R. Kamiya, Cell Motil. -
Model for phase equilibria in micellar solutions of non ...
www.damtp.cam.ac.uk/user/gold/pdfs/JChemPhys_84_3367.pdf10 Apr 2011: 00. 2Xt/J - t/JI(1 - t/J) - L (Bt/JnIBt/J)/nM = 0 (20) n=1. ... 3. (a) Micelle size distribution for; = 0.08, M = 20, E = 0.85, and q = 3. -
Generalized sampling and the stable and accuratereconstruction of…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_12.pdf22 Nov 2011: f fn,m‖R (1 θ2. )‖f Qnf‖R c(2 θ)θ2|||f Qnf|||, (2.20). and thatκ(A). ... 12. The estimate (2.20) for ‖f fn,m‖ holds with the stronger assumption (A2′). -
Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments…
www.damtp.cam.ac.uk/user/gold/pdfs/trapping.pdf10 Apr 2011: We note from the solution (Eq. 20) that each modegkdecays independently and exponentially with time. ... 0.485ỹ; yk2(0). 20.012ỹ, where we defineykn [ 0. 1 da y0kn, in analogy toEq. -
INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL ...
www.damtp.cam.ac.uk/user/gold/pdfs/wigner_jphysa.pdf10 Apr 2011: k. )x̂nk(p̂mx̂k). (20). Here, we have used the notation x̂ = x and p̂ iη/x, together with the identity proven byMcCoy [23] (see also appendix B). ... Interscience)[19] Fröhlich H 1967 Physica 37 215–26[20] Fröhlich H 1973 Riv. -
PART II: Classification of semi-simple Lie algebras. NOTES BY ...
www.damtp.cam.ac.uk/user/examples/3P2Lc.pdf10 Oct 2011: q κ(yβ, yα). κ(yα, yα)= r, p. κ(yβ, yα). κ(yα, yα)= r (1-20). ... 20. By essentially analogous reasoning, it is also possible to exclude the following two sub-diagrams (double arrows have not been included here). -
lec_notes.dvi
www.damtp.cam.ac.uk/user/rrh/notes/qphys.pdf22 Dec 2011: 196.3.1 The Black-Body Distribution. 20. 6.4 Atomic Transitions. 22. 7 Lasers 237.1 A model for the laser. ... The corollary is that if radiation is in contact. 6 QUANTUM STATISTICAL PHYSICS 20. -
Efficient computation of delay differential equations with highly…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_03.pdf18 Mar 2011: We commence from the scalar equation. y′(t) = iy(t) y(t 1) t sin ωt, 0 < t 20, (3.1)y(t) = eit, 1 t 0. -
db6a.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/mult.pdf1 Sep 2011: 20(!). But it is also worthwhile to mention that amodest award will be oered for a counterexample as well (for details see [B2]).2. ... with(linalg):> with(powseries):> alias(si=simplify); alias(R=binomial);> k:=n5; m:=1; 20. > # -
Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments…
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/trapping.pdf10 Apr 2011: We note from the solution (Eq. 20) that each modegkdecays independently and exponentially with time. ... 0.485ỹ; yk2(0). 20.012ỹ, where we defineykn [ 0. 1 da y0kn, in analogy toEq. -
J . Phys. Chem. 1988, 92, 6865-6867 6865 Effect ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/winterhalter_helfrich.pdf10 Apr 2011: relatively insensitive to photon energy for frequencies ranging from 10 000 to 20 000 cm-'. -
Asymptotic solvers for ordinary differential equations with multiple…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_11.pdf13 Aug 2011: im>ωt. While. p′0. r=1. Lr. 1ω. mZ. p′m,eim>ωt. 20. presents no difficulties, we need to devote more attention to. ... 20,e1 , t 0, p0,2e1 (0) = pe1,2e1 (0) = 1,. -
Highly Oscillatory Diffusion-Type Equations Sevda Ü. Altınbaşak…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_14.pdf25 Nov 2011: b̃n(x, t) sin π(m 12 )xdx. (3.22). 20. Then direct differentiation confirms that the Laplace–Neumann series. -
revision.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/kmon.pdf1 Sep 2011: Lemma 3.4 (Zwick [20]) Let k N and f Mk(a, b). ... 20. References. [1] R. K. Beatson, Restricted range approximation by splines and variational inequalities SIAM J.Numer. -
Theory of multiple phase separations in binary mixtures: Phase ...
www.damtp.cam.ac.uk/user/gold/pdfs/JChemPhys_78_1492.pdf10 Apr 2011: tU1(Kh K2,Ks)= i lim [(:{)Ih-o" -()L-J= tU11(KI) , (20). where h is the magnetic field. ... dilution. The value of q (500) for pure 20 was also chosen based on consideration of the approximation ac-ceptance angle of a hydrogen bond. -
DAMTP 2011/NA01 On the convergence of trust region algorithms ...
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_01.pdf23 Sep 2011: 3.20). Although we are regarding xy0. as a step in the space of the variables, there isno need to take this view. ... be the vector. x y0. = {F(y0) Qk(y0)}ρ/‖F(y0) Qk(y0)‖ (3.21). in equation (3.20). -
Generalized sampling and infinite-dimensionalcompressed sensing Ben…
www.damtp.cam.ac.uk/user/na/NA_papers/NA2011_02.pdf2 Nov 2011: 1 0.5 0 0.5 1. 30. 20. 10. 0. 10. 20. ... 40. 20. 0. 20. 40. 60. 1 0.5 0 0.5 15. -
PHYSICAL REVIEW B 1 FEBRUARY 1998-IVOLUME 57, NUMBER 5 ...
www.damtp.cam.ac.uk/user/gold/pdfs/type1_prb.pdf10 Apr 2011: interactions.19 These in-clude magnetic fluids,20–24 Langmuir monolayers,25–27 andthin magnetic films.28 It is also related to a reaction-diffusiosystem29–32 in which chemical frontsbetween two ... a2. 4.7! It follows that the form of the free -
PHYSICS OF FLUIDS VOLUME 10, NUMBER 11 NOVEMBER 1998 ...
www.damtp.cam.ac.uk/user/gold/pdfs/pinching.pdf10 Apr 2011: F t5 2 E0. 2p. dxhU2, 20! provided the widthh is non-negative.The functional that generates Eq.9! ... a! Ratios as functions of rescaled! time for B5 1.05,1.10,1.20. Dashed lines are estimated pinching timesdecreasingwith e! -
sbs1i.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/sbs1i.pdf1 Sep 2011: 0t cos2k(t) dt 1. 2k,. because sin t t sin tcos t on [0, π2 ], and π/20 sin(t) cos. -
Substituent effects on intermolecular .hydrogen bonding from a…
www.damtp.cam.ac.uk/user/gold/pdfs/JChemPhys_79_4439.pdf10 Apr 2011: Rev. 87, 410 (1952). 5J. A. Barker, J. Chem. Phys. 20, 794 (1952), 20, 1526 (1952);. -
VOLUME 84, NUMBER 7 P H Y S I ...
www.damtp.cam.ac.uk/user/gold/pdfs/twirl.pdf10 Apr 2011: Vt Czr. Vss 11. zrs 3 rss? fs. (4). The second term of (4) is nonzero [20] when the filamentis both out of elastic equilibrium f fi 0 and either ... Rubinow, J. Fluid Mech. 44, 705 (1976).[20] The writhe-tracking term is rs 3 rss? -
AJP Journal
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/van_der_waals.pdf10 Apr 2011: U vdW5e2. 4pR3@ x1x21 y1y22 2z1z2#. 20! The lowest order energy shift involving a pair of hydrogatoms is then. ... R. Holstein, ‘‘Electromagnetic Polarizability of th. Nucleon,’’ Comments Nucl. Part. Phys.20, 301–3241992! -
shadrin.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/mon.pdf1 Sep 2011: with free N knots onlyif N1 ck N;20. -
Acc. Chem. Res. 1989,22, 77-82 77 Liquid-Vapor Asymmetry at ...
www.damtp.cam.ac.uk/user/gold/pdfs/liquid_vapor_asymmetry.pdf10 Apr 2011: S. Mol. Phys. 1984, 52, 567. (20) Rehr, J. J.; Mermin, N. -
The speed of the flagellar rotary motor of Escherichiacoli ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/ufk_papers/membrane_proteins/bergpmf.pdf27 Nov 2011: checked with a small thermocouple. After 20 min, growthmedium and loose cells were f lushed from the system withmotility medium [10 mM potassium phosphate0.1 mMEDTA1 mM L-methionine0.05% ... The high-frequency peak was smaller, but it could be found -
The following document is a reprint of the manuscript ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/Brownian.pdf10 Apr 2011: which from their irs?e!gd resemble in a remarkable some of the simplest anim smallest moving pmtbles o b m Active Molecules, appear to be to be between -
PART I: Symmetries and particles. NOTES BY PROF. HUGH ...
www.damtp.cam.ac.uk/user/examples/3P2Lb.pdf10 Oct 2011: 20. 2.5.1 Representation Matrices. 222.6 Tensor Products and Angular Momentum Addition. ... D(R,a) =(R a0 1. ), (1.20). with the group multiplication rule. -
Phenomenological theory of multiply reentrant solubility Raymond E.…
www.damtp.cam.ac.uk/user/gold/pdfs/JChemPhys_83_1246.pdf10 Apr 2011: shortcoming. Virtually all of the coexistence curves of these mixtures lack the compositional symmetry of the Ising model, to whose universality class their critical points belong.20 Size differences between the -
PII: S0031-8914(37)80203-7
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/hamaker.pdf6 Oct 2011: 12re d 2" (20). ... A 1 F - - 6r= d 3 " (21 ) "). Fig. 4. S t r i c t l y e q u a t i o n s 15, 18, 20 a n -
g.dvi
www.damtp.cam.ac.uk/user/na/people/Alexei/papers/markov.pdf1 Sep 2011: k1)(z) (2.20). ... a) if νi = 0, then σi = 0 ,. 20 Twelve Proofs of the Markov Inequality. -
VOLUME 84, NUMBER 7 P H Y S I ...
www.damtp.cam.ac.uk/user/gold/pdfs/bistable.pdf10 Apr 2011: Hotani’s measurements [20] allow us to esti-mate [8] an upper bound of j & 80 nm. ... Gorielyand M. Tabor, Physica (Amsterdam) 105D, 20 (1997);105D, 44 (1997). [20] H. -
Buckling Microtubules in Vesicles
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/elbaum96.pdf24 Oct 2011: The observation cell contains 350ml of 150 mM NaClsolution, which is 20% hypertonic to the microtububuffer and less dense. ... The bundle folds suddenlythe spherical portion of the vesicle (within 0.20 sec).a result the membrane jumps further into the -
Noise and Synchronization in Pairs of Beating Eukaryotic Flagella ...
www.damtp.cam.ac.uk/user/gold/pdfs/slips_prl.pdf10 Apr 2011: A long pass interference filterwith a 10 nm transition ramp centered at 620 nm (KnightOptical, UK) was used to avoid any phototactic response[20]. ... 19] D. L. Kirk and M. M. Kirk, Dev. Biol. 96, 493 (1983).[20] O. -
Dynamics of Enhanced Tracer Diffusion in Suspensionsof Swimming…
www.damtp.cam.ac.uk/user/gold/pdfs/chlamytracers.pdf10 Apr 2011: 2Department of Physics, Haverford College, Haverford, Pennsylvania 19041, USA(Received 25 June 2009; revised manuscript received 20 October 2009; published 5 November 2009). ... A relatively dilute suspension of cells (5 106 cm3) ingrowth medium was -
INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 18 (2005)…
www.damtp.cam.ac.uk/user/gold/pdfs/spin.pdf10 Apr 2011: Math. Phys.30 2516–20. [11] Salmon R 1988 Hamiltonian fluid mechanics Annu. ... Rev. Fluid Mech. 20 225–56[12] Clebsch A 1859 Ueber die integration der hydrodynamischen gleichungen J. -
LP8301 2..5
www.damtp.cam.ac.uk/user/gold/pdfs/periodic.pdf10 Apr 2011: We approxi-mate the bend and twist rates i [20] as follows, usingsubscripts ‘‘z’’ to denote derivatives:. ... I. Rubinow, J. Fluid Mech. 75, 705. (1976).[20] L. Landau and E. -
Nature’s Microfluidic Transporter: Rotational Cytoplasmic Streaming…
www.damtp.cam.ac.uk/user/gold/pdfs/streaming_prl.pdf10 Apr 2011: 2Cambridge Computational Biology Institute, Centre for Mathematical Sciences, University of Cambridge,Wilberforce Road, Cambridge CB3 0WA, United Kingdom(Received 20 June 2008; published 20 October 2008). ... enhance transport, to a degree that depends -
Flows driven by flagella of multicellular organismsenhance long-range …
www.damtp.cam.ac.uk/user/gold/pdfs/flagflows.pdf10 Apr 2011: 12x). To test this model, we measured the f low fields aroundcolonies using methods described elsewhere (4), building onearlier studies (19, 20) and summarized in Methods. ... J. 20, 193–219. 13. Senft, W. H., Hunchberger, R. A. & Roberts, K. -
201019079 1..6
www.damtp.cam.ac.uk/user/gold/pdfs/PNAS-2011-Drescher-1019079108.pdf20 Jun 2011: Edited by Jerry P. Gollub, Haverford College, Haverford, PA, and approved May 18, 2011 (received for review December 20, 2010). ... suspensions. Phys Fluids 20:123304.19. Baskaran A, Marchetti MC (2009) Statistical mechanics and hydrodynamics of bacterial -
PRL 95, 184501 (2005) P H Y S I ...
www.damtp.cam.ac.uk/user/gold/pdfs/coiling_prl.pdf10 Apr 2011: DOI: 10.1103/PhysRevLett.95.184501 PACS numbers: 47.20.k, 47.54.r, 92.10.c, 95.30.Lz. syringe. diffuser. LED. ... Fig. 5(c)], analogous to flows in the serpen-tine instability of two-dimensional plumes [20]. -
PHYSICS OF FLUIDS 18, 083101 �2006� A free-boundary theory ...
www.damtp.cam.ac.uk/user/gold/pdfs/icicles.pdf10 Apr 2011: 083101-2 Short, Baygents, and Goldstein Phys. Fluids 18, 083101 2006. metric flow rate Q over icicles is typically3,20 on the order oftens of milliliters per hour 0.01 cm3 / ... us gh2 / 2wsin below several mm/s, consistent withknown values,3,20 yielding -
Continuum theory of critical phenomena in polymer solutions:…
www.damtp.cam.ac.uk/user/gold/pdfs/JChemPhys_90_7448.pdf10 Apr 2011: by. (2.20). where crl/ = a3 • The appearance of the Kuhn length in the definition ofp is again a consequence of the present system of units. -
Measurement of cytoplasmic streaming in single plant cells by…
www.damtp.cam.ac.uk/user/gold/pdfs/chara_jfm.pdf10 Apr 2011: Velocimetry measurements were performed on a Bruker Spectrospin DMX 200,4.7 T magnet with a 20 mm long solenoid coil of diameter 3 mm; 1H images wereacquired at 199.7 ... 400 –200 200 4000 –40 –20 20 400. Position (μm). x (μm). -
PHYSICS: LEVINTHAL AND CRANE 121, 1946, and "On the ...
www.damtp.cam.ac.uk/user/gold/pdfs/teaching/Levinthal.pdf10 Apr 2011: Onerevolution corresponds to the formation of about 20 phosphate bonds. On thebasis of a value of 10 kilocalories per mole for the energy of formation of the bonds,the formation of ... 20 bonds will require 3.3 X 10-' calories.
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