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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 -
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. -
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 -
2. My First Path Integral It’s now time to ...
www.damtp.cam.ac.uk/user/tong/sft/two.pdf22 Jul 2020: 2.24). This is known as the Ornstein-Zernicke correlation. – 43 –. 2.2.2 The Correlation Function is a Green’s Function. The result (2.24) is important and we ... Euclidean space and there is no such ambiguity. – 45 –. 2.2.3 The Correlation -
solidstate
www.damtp.cam.ac.uk/user/tong/aqm/solid1.pdf11 Nov 2020: 1.5 Spin in a Magnetic Field 22. 1.5.1 Spin Precession 24. ... qg = 2n with n 2 Z (1.24). This is the famous Dirac quantisation condition. -
Geophys. J. R . astr. SOC. (1979) 5 7 ...
www.damtp.cam.ac.uk/user/ms100/PAPERS/GeophysJRAS.pdf4 Feb 2020: 4-00. 8.00. 0. 4-00. 0. 4-00. 8.00. 12-00. _ _ _ _ 48-00 -. 0 8.00 16.00 24-00 32-00 40-00 48-00 56.00. ... D f. 0. 4.00. 8.00. 12.00. 16.00. 20.00. 24.00. 2 8.00. -
DOI 10.1140/epje/i2019-11854-3 Regular Article Eur. Phys. J. E (2019) …
www.damtp.cam.ac.uk/user/lauga/papers/163.pdf6 Jul 2020: 24). For many ions in water atroom temperature, the diffusivity is approximately Ds 109 m2 /s [33]. ... 24), we can integrate eq. (59) directly to obtainthe following result for the non-reacting model:. -
Numerical Analysis - Part II
www.damtp.cam.ac.uk/research/afha/lectures/Part_II_NumAn/Lect_8_slides.pdf15 Oct 2020: This, however,does not mean that its numerical modelling is easy. 13 / 24. ... 23 / 24. Stability using Fourier analysis. The Fourier analysis (for Cauchy problem) provides. -
2. The Integer Quantum Hall E↵ect In this section ...
www.damtp.cam.ac.uk/user/tong/qhe/two.pdf5 Oct 2020: by (1.24). With the Landau levels filled, the current in the x-direction is. ... But we know from (1.20) and (1.24) that these harmonic oscillator states are. -
Supersymmetry University of Cambridge, Part III Mathematical Tripos…
www.damtp.cam.ac.uk/user/dbs26/SUSY/chap1.pdf18 Jan 2020: 3.1 SQM with a Potential 22. 3.1.1 Supersymmetric Ground States and the Witten Index 24.
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