2010
DOI: 10.1088/0953-8984/22/19/195104
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Drift–diffusion kinetics of a confined colloid

Abstract: The drift-diffusion equation on a finite interval with reflecting boundary conditions is solved by Laplace transformation. The Green function is obtained as a series in powers of e(-hu/D), where u is the drift velocity, D the diffusion coefficient and h the width of the interval. In the drift-dominated regime hu/D >> 1, the first terms provide an exact solution in the limit of short and long times, and a good approximation in the intermediate regime. As a possible application, we discuss confined colloidal sus… Show more

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Cited by 3 publications
(2 citation statements)
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“…The steady-state distribution is readily obtained from the condition of zero current; there is no closed solution for the transient kinetics. The time dependent distribution function n(x, t) has been given as series in powers of e −L/ℓ ; a rather simple expression arises for the case of strong confinement L ≫ ℓ [153].…”
Section: B Lateral Fields In a Microchannelmentioning
confidence: 99%
See 1 more Smart Citation
“…The steady-state distribution is readily obtained from the condition of zero current; there is no closed solution for the transient kinetics. The time dependent distribution function n(x, t) has been given as series in powers of e −L/ℓ ; a rather simple expression arises for the case of strong confinement L ≫ ℓ [153].…”
Section: B Lateral Fields In a Microchannelmentioning
confidence: 99%
“…The time dependent distribution function n(x, t) has been given as series in powers of e −L/ ; a rather simple expression arises for the case of strong confinement L [153].…”
Section: Lateral Fields In a Microchannelmentioning
confidence: 99%