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- Pavol Kalinay, Jerome K. Percus
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2010

Mapping of the diffusion equation in a channel of varying cross section onto the longitudinal coordinate is already a well studied procedure for a slowly changing radius. We examine here the mappingâ€¦ (More)

- Pavol Kalinay, Jerome K. Percus
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

Diffusion in a quasi-one-dimensional channel, with cross section varying along the longitudinal coordinate, is considered. Using a rigorous mapping of the diffusion equation onto one dimension,â€¦ (More)

- Pavol Kalinay, Jerome K. Percus
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

We analyze the generalized Fick-Jacobs equation, obtained by a rigorous mapping of the diffusion equation in a quasi-one-dimensional (quasi-1D) (narrow 2D or 3D) channel with varying cross sectionâ€¦ (More)

- Pavol Kalinay
- Physical review. E
- 2016

The effective one-dimensional description of diffusion in two-dimensional channels of varying cross section is revisited. The effective diffusion coefficient D(x), extending Fick-Jacobs equation,â€¦ (More)

- Pavol Kalinay, Jerome K. Percus
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

We study diffusion of pointlike particles biased toward the x axis by a quadratic potential U(x,y)=Îº(x)yÂ². This system mimics a channel with soft walls of some varying (effective) cross section A(x),â€¦ (More)

- Pavol Kalinay
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

Diffusion of pointlike noninteracting particles in a two-dimensional channel of varying cross section is considered. The particles are biased by a constant force in the transverse direction. Aâ€¦ (More)

- Pavol Kalinay
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

A particle diffusing in an asymmetric periodic channel, driven by a sinusoidal force F(t)=F0cosÏ‰t (the rocking ratchet) is considered. The asymptotic solution of the generalized Fick-Jacobs equationâ€¦ (More)

- Pavol Kalinay
- The Journal of chemical physics
- 2017

An algorithm calculating the effective diffusion coefficient D(x) in 2D and 3D channels with periodically varying cross section along the longitudinal coordinate x is presented. Unlike other methods,â€¦ (More)

- Pavol Kalinay
- The Journal of chemical physics
- 2013

Applicability of the effective one-dimensional equations, such as Fick-Jacobs equation and its extensions, describing diffusion of particles in 2D or 3D channels with varying cross section A(x) alongâ€¦ (More)

- Pavol Kalinay
- The Journal of chemical physics
- 2015

The method calculating the effective diffusion coefficient in an arbitrary periodic two-dimensional channel, presented in our previous paper [P. Kalinay, J. Chem. Phys. 141, 144101 (2014)], isâ€¦ (More)