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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:. -
Part III Applications of Differential Geometry to Physics, Sheet ...
www.damtp.cam.ac.uk/user/md327/PartIII_geom_2.pdf20 Jan 2020: 24 = 1 and find its. degree. By calculating Tr((dg g1)3) at the point on S3 where x4 = 1,or otherwise deduce that the formula. -
PII: 0377-0427(89)90022-8
www.damtp.cam.ac.uk/user/ms100/PAPERS/JCAM89.pdf2 Feb 2020: Since. and. ux= [ rx i&r] exp(W,. 24 xx = [ 2irx+, rxx i+,,r - (x)2r] exdih. ... U, = 24, e,_, Sl_le,_2. S,‘e,. Now, for kc n define r&= (AZ)-2e,, and #k= ,S$#Q_, and put 4, = (AZ)-2e,_,. -
Irreversible hydrodynamic trapping by surface rollers
www.damtp.cam.ac.uk/user/lauga/papers/174.pdf6 Jul 2020: magnetic,5 electrostatic,18 or hydrodynamic forces.24 In recentyears, synthetic swimmers actuated by external fields, chemicalfuels or bacteria have been attracting attention and been employedsuccessfully for the transport of cargo ... 23 See ESI†.24 A. -
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. -
statphys
www.damtp.cam.ac.uk/user/tong/statphys/five.pdf17 Feb 2020: 5.24). The row of the matrix is specified by the value of si = 1 and the column by si1 = 1. ... siand product over lattice sites. Qiin (5.23) simply tell us. to multiply the matrices defined in (5.24) and the partition function becomes. -
Light-switchable propulsion of active particles with reversible…
www.damtp.cam.ac.uk/user/lauga/papers/175.pdf6 Jul 2020: ARTICLE. Light-switchable propulsion of active particles withreversible interactionsHanumantha Rao Vutukuri 1, Maciej Lisicki 2, Eric Lauga 3 & Jan Vermant 1. Active systems such as microorganisms and self-propelled particles show a plethora of. -
PII: 0022-460X(86)90195-1
www.damtp.cam.ac.uk/user/ms100/PAPERS/JSV86.pdf2 Feb 2020: u,(O) = u(O) = v,(O) = v2(0) = 0. (24). What follows is concerned, not with the general fourth moment at zr but rather with quantities involving intensities at two points -
Hypergeometric function - series representation Claim: F (a, b; ...
www.damtp.cam.ac.uk/user/bg268/Hypergeometric%20function%20as%20a%20series.pdf11 Mar 2020: Hypergeometric function - series representation. Claim:. F (a, b; c; z) =n=0. (a)n(b)n(c)n. zn. n!,. where (x)n = x(x 1).(x n 1), (x)0=1, is the Pochhammer symbol. The series is convergent in |z| < 1. The RSP at z = 1 prohibits the series -
3. The Fractional Quantum Hall E↵ect We’ve come to ...
www.damtp.cam.ac.uk/user/tong/qhe/three.pdf5 Oct 2020: i=1. |i|2 (3.24). The corrected plasma partition function is then. Z Yd2zi e. ... precisely by the partition function with energy (3.24) and hence has no dependence.
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