Diffusion in one-dimensional channels with zero-mean time-periodic tilting forces

Muñoz-Gutiérrez, E.; Álvarez‐Ramírez, José; Dagdug, Leonardo; Espinosa-Paredes, Gilberto

doi:10.1063/1.3693332

Cited by 2 publications

(2 citation statements)

References 40 publications

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“…For example, the diffusion of point particles in a (narrow) tube of varying cross-section can be approximated by an effective one-dimensional diffusion equation known as the Fick-Jacobs equation (Jacobs 1967;Reguera and Rubí 2001). Another example in which particle interactions are omitted can be found in the Brownian ratchet models of molecular motors (Muñoz-Gutiérrez et al 2012;Eichhorn et al 2002), which take the form of a one-dimensional diffusion under a periodic potential and tilting force.…”

Section: Introductionmentioning

confidence: 99%

Diffusion of Finite-Size Particles in Confined Geometries

Bruna

Chapman

2013

Bull Math Biol

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The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear diffusion equation for the one-particle probability density function, with an overall collective diffusion that depends on both the excluded-volume and the narrow confinement. By including both these effects, the equation is able to interpolate between severe confinement (for example, single-file diffusion) and unconfined diffusion. Numerical solutions of both the effective nonlinear diffusion equation and the stochastic particle system are presented and compared. As an application, the case of diffusion under a ratchet potential is considered, and the change in transport properties due to excluded-volume and confinement effects is examined.

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Section: Introductionmentioning

confidence: 99%

Diffusion of Finite-Size Particles in Confined Geometries

Bruna

Chapman

2013

Bull Math Biol

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“…It provides a very accurate description of entropic transport in 2D and 3D channels of varying cross-section. This equation is equivalent to a Smoluchowski equation in 1D dimension [8][9][10][11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

Entropic rectification and current inversion in a pulsating channel

Carusela

Rubı́

2017

The Journal of Chemical Physics

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We show the existence of a resonant behavior of the current of Brownian particles confined in a pulsating channel. The interplay between the periodic oscillations of the shape of the channel and a force applied along its axis leads to an increase of the particle current as a function of the noise level. A regime of current inversion is also observed for particular values of the oscillation frequency and the applied force. The model proposed to obtain these new behaviors of the current is based on the Fick-Jacobs equation in which the entropic barrier and the effective diffusion coefficient depend on time. The phenomenon observed could be used to optimize transport in microfluidic devices or biological channels.

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Diffusion in one-dimensional channels with zero-mean time-periodic tilting forces

Cited by 2 publications

References 40 publications

Diffusion of Finite-Size Particles in Confined Geometries

Diffusion of Finite-Size Particles in Confined Geometries

Entropic rectification and current inversion in a pulsating channel

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