When is the next extending of Fick-Jacobs equation necessary?

Moment expansion for mapping of the confined diffusion

(2013) Pavol Kalinay   PHYSICAL REVIEW E

Diffusion in the presence of cylindrical obstacles arranged in a square lattice analyzed with generalized Fick-Jacobs equation

(2012) Leonardo Dagdug et al.   JOURNAL OF CHEMICAL PHYSICS

Analytical estimates of free Brownian diffusion times in corrugated narrow channels

(2012) Leone Bosi et al.   JOURNAL OF CHEMICAL PHYSICS

Phase Space Reduction of the One-Dimensional Fokker-Planck (Kramers) Equation

(2012) Pavol Kalinay et al.   JOURNAL OF STATISTICAL PHYSICS

Cooperative rectification in confined Brownian ratchets

(2012) Paolo Malgaretti et al.   PHYSICAL REVIEW E

Biased Brownian motion in extremely corrugated tubes

(2011) S. Martens et al.   CHAOS

Time scale separation leads to position-dependent diffusion along a slow coordinate

(2011) Alexander Berezhkovskii et al.   JOURNAL OF CHEMICAL PHYSICS

Effective one-dimensional description of confined diffusion biased by a transverse gravitational force

(2011) Pavol Kalinay   PHYSICAL REVIEW E

Fluxes of non-interacting and strongly repelling particles through a single conical channel: Analytical results and their numerical tests

(2010) Alexander M. Berezhkovskii et al.   CHEMICAL PHYSICS

Entropic transport in energetic potentials

(2010) P.S. Burada et al.   CHEMICAL PHYSICS

Particle pumping driven by asymmetric unbiased external forces in a finite tube

(2010) Ke-ning Ran et al.   Journal of Physics A-Mathematical and Theoretical

Diffusion in a two-dimensional channel with curved midline and varying width: Reduction to an effective one-dimensional description

(2010) R. Mark Bradley   PHYSICAL REVIEW E

Diffusion over an entropic barrier: Non-Arrhenius behavior

(2010) Debasish Mondal et al.   PHYSICAL REVIEW E

Geometric Stochastic Resonance

(2010) Pulak Kumar Ghosh et al.   PHYSICAL REVIEW LETTERS

Entropic stochastic resonance: the constructive role of the unevenness

(2009) P. S. Burada et al.   EUROPEAN PHYSICAL JOURNAL B

Entropic transport: a test bed for the Fick-Jacobs approximation

(2009) P. S. Burada et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Mapping of forced diffusion in quasi-one-dimensional systems

(2009) Pavol Kalinay   PHYSICAL REVIEW E

A channel Brownian pump powered by an unbiased external force

(2008) Bao-quan Ai et al.   JOURNAL OF CHEMICAL PHYSICS

Approximations of the generalized Fick-Jacobs equation

(2008) Pavol Kalinay et al.   PHYSICAL REVIEW E