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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:. -
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 -
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. -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf8 Nov 2020: The gluon exchange is now. 1N2. (6.24). but there are order N3 triplets of quarks, so again the total amplitude scales as N. ... 6N2. X. i 6=j 6=k. V3(xij, xjk). where xij = xi xj and the coecients in front of the potentials are taken from (6.23)and (6.24 -
4.6 Monodromy: the reason for the logarithmic term in ...
www.damtp.cam.ac.uk/user/bg268/Monodromy%20-%20need%20in%20log%20term.pdf11 Mar 2020: 4.6 Monodromy: the reason for the logarithmic term in the solution. Recall that forw′′ p(z)w′ q(z)w = 0, (1). in the vicinity of a RSP at z = 0 (WLOG - other points obtained by translation),there exist two linearly independent solutions of (1), -
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 -
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. -
3 Supersymmetric Quantum Mechanics We now turn to consider ...
www.damtp.cam.ac.uk/user/dbs26/SUSY/chap3.pdf30 Jan 2020: η̄k1|eτ H(ˆ̄ψ,ψ̂)|ηk〉 = eτ H(η̄k,ηk) 〈η̄k1|ηk〉 = eτ H(η̄k1,ηk) eη̄k1ηk. (3.24). -
5. Chiral Symmetry Breaking In this section, we discuss ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf17 Nov 2020: For example, we. have. m2K+. m2K0. m2. =mu mdmu md. (5.24). ... corrections, we can generalise (5.24) to. (m2K m2K0) (m2 m20). m20.
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