Diffusion of charged rods across 3D varying section channels
Abstract
We analyze the transport of rod-like particles by diffusion and drift in a three-dimensional channel with varying circular or elliptic cross section. Applying the Fick-Jacobs approximation to the transport equation of the particles' probability distribution, we derive an effective one-dimensional substitute model and the associated free energy profile. Our results show that the data for the mean first passage time of rods, once expressed as a function of the effective free energy barrier, collapse onto the same master curve as obtained for point or spherical particles. The observed universality provides a simple framework for predicting transport times of anisotropic particles in confined geometries without resolving the full multidimensional dynamics.
Related
- World average charged-current inclusive neutrino cross section from 6 to 200 GeV
- Signal selection and model-independent extraction of pionless charged-current muon neutrino cross section using double-differential kinematic imbalance observables on carbon and oxygen with the T2K experiment
- First double-differential cross-section measurements in proton multiplicity and kinematics for mesonless νμ charged-current interactions on argon using the MicroBooNE detector
- The light carrying orbital angular momentum through time-varying scattering media using dual orthogonal-polarization channels
- Single-file diffusion of charged particles on a devil’s staircase
BibTeX
@misc{ray2026diffusion,
title = {{Diffusion of charged rods across 3D varying section channels}},
author = {N. Ray and A. Semkiv and J. Harting and P. Malgaretti},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29427},
eprint = {2609.29427},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29427},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Diffusion of charged rods across 3D varying section channels
AU - N. Ray
AU - A. Semkiv
AU - J. Harting
AU - P. Malgaretti
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.29427
UR - https://arxiv.org/abs/2609.29427
AB - We analyze the transport of rod-like particles by diffusion and drift in a three-dimensional channel with varying circular or elliptic cross section. Applying the Fick-Jacobs approximation to the transport equation of the particles' probability distribution, we derive an effective one-dimensional substitute model and the associated free energy profile. Our results show that the data for the mean first passage time of rods, once expressed as a function of the effective free energy barrier, collapse onto the same master curve as obtained for point or spherical particles. The observed universality provides a simple framework for predicting transport times of anisotropic particles in confined geometries without resolving the full multidimensional dynamics.
ER -