Transport processes in quasi one-dimensional systems

2018

  1. P. Kalinay, F. Slanina.
    Dimensional reduction of a general advection-diffusion equation in 2D channels.
    Journal of Physics: Condensed Matter 30 (2018) 244002.

  2. P. Kalinay, F. Slanina.
    Feynman-Smoluchowski ratchet in an effective one-dimensional picture.
    Physical Review E 98 (2018) 042141.

2017

  1. P. Kalinay.
    Nonscaling calculation of the effective diffusion coefficient in periodic channels.
    Journal of Chemical Physics 146 (2017) 034109.

  2. P. Kalinay.
    One-dimensional description of driven diffusion in periodic channels.
    Physical Review E 96 (2017) 042157.

2016

  1. P. Kalinay.
    Integral formula for the effective diffusion coefficient in two-dimensional channels.
    Physical Review E 94 (2016) 012102.

2015

  1. P. Kalinay.
    Generalized method calculating the effective diffusion coefficient in periodic channels.
    Journal of Chemical Physics 142 (2015) 014106.

2014

  1. P. Kalinay.
    Rectification of confined diffusion driven by a sinusoidal force.
    Physical Review E 89 (2014) 042123.

  2. P. Kalinay.
    Effective diffusion coefficient in 2D periodic channels.
    Journal of Chemical Physics 141 (2014) 144101 [erratum: Journal of Chemical Physics 141 (2014) 169902].

  3. P. Kalinay.
    Effective transport equations in quasi 1D systems.
    European Physical Journal Special Topics 223 (2014) 3027-3043.

2013

  1. P. Kalinay.
    Moment expansion for mapping of the confined diffusion.
    Physical Review E 87 (2013) 032143.

  2. P. Kalinay.
    When is the next extending of Fick-Jacobs equation necessary?
    Journal of Chemical Physics 139 (2013) 054116.

2012

  1. P. Kalinay and J. P. Percus.
    Phase space reduction of the one-dimensional Fokker-Planck (Kramers) equation.
    Journal of Statistical Physics 148 (2012) 1135-1155.
    arXiv:1204.1145 [cond-mat.stat-mech]

2011

  1. P. Kalinay.
    Effective one-dimensional description of confined diffusion biased by a transverse gravitational force.
    Physical Review E 84 (2011) 011118.
    arXiv:1105.1879 [cond-mat.stat-mech]

  2. P. Kalinay and J. K. Percus.
    Mapping of diffusion in a channel with soft walls.
    Physical Review E 83 (2011) 031109.

2010

  1. P. Kalinay.
    Mapping of diffusion in confined systems (beyond the concept of entropic potential).
    In: IV Mexican Meeting on Mathematical and Experimental Physics: Relativistic Fluids and Biological Physics, ed. by L. Dagdug, A. Garcia-Perciante, A. Sandoval-Villalbazo and L. S. Garcia-Colin (AIP Conference Proceedings 1312, Melville, NY, 2010) 102-113.

  2. P. Kalinay and J. K. Percus.
    Mapping of diffusion in a channel with abrupt change of diameter.
    Physical Review E 82 (2010) 031143.

2009

  1. P. Kalinay.
    Mapping of forced diffusion in quasi-one-dimensional systems.
    Physical Review E 80 (2009) 031106.

2008

  1. P. Kalinay.
    Response to “Comment on `Calculation of the mean first passage time tested on simple two-dimensional models'” [J. Chem. Phys. 128, 197102 (2008)].
    Journal of Chemical Physics 128 (2008) 197103.

  2. P. Kalinay and J. K. Percus.
    Two definitions of the hopping time in a confined fluid of finite particles.
    Journal of Chemical Physics 129 (2008) 154117.

  3. P. Kalinay and J. K. Percus.
    Approximations of the generalized Fick-Jacobs equation.
    Physical Review E 78 (2008) 021103.

2007

  1. P. Kalinay and  J. K. Percus.
    The stretched Markov nature of single-file self-dynamics.
    Physical Review E 76 (2007) 041111.

  2. P. Kalinay.
    Calculation of the mean first passage time tested on simple two-dimensional models.
    Journal of Chemical Physics 126 (2007) 194708.

2006

  1. P. Kalinay and J. K. Percus.
    Corrections to the Fick-Jacobs equation.
    Physical Review E 74 (2006) 041203.

  2. P. Kalinay and J. K. Percus.
    Exact dimensional reduction of linear dynamics: Application to confined diffusion.
    Journal of Statistical Physics 123 (2006) 1059-1069.

2005

  1. P. Kalinay and J. K. Percus.
    Projection of two-dimensional diffusion in a narrow channel onto the longitudinal dimension.
    Journal of Chemical Physics 122 (2005) 204701.

  2. P. Kalinay and J. K. Percus.
    Extended Fick-Jacobs equation: Variational approach.
    Physical Review E 72 (2005) 061203.
 

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