Approximation of super-ions for single-file diffusion of multiple ions through narrow pores

The general theory of the single-file multiparticle diffusion in the narrow pores could be greatly simplified in the case of inverted bell-like shape of the single-particle energy profile, which is often observed in biological ion channels. There is a narrow and deep groove in the energy landscape o...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2010-11, Vol.82 (5 Pt 1), p.051103-051103, Article 051103
Main Authors: Kharkyanen, Valery N, Yesylevskyy, Semen O, Berezetskaya, Natalia M
Format: Article
Language:English
Subjects:
Diffusion
Electric Conductivity
Ions - metabolism
Models, Biological
Nanopores
Thermodynamics
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Summary:The general theory of the single-file multiparticle diffusion in the narrow pores could be greatly simplified in the case of inverted bell-like shape of the single-particle energy profile, which is often observed in biological ion channels. There is a narrow and deep groove in the energy landscape of multiple interacting ions in such profiles, which corresponds to the pre-defined optimal conduction pathway in the configurational space. If such groove exists, the motion of multiple ions can be reduced to the motion of single quasiparticle, called the superion, which moves in one-dimensional effective potential. The concept of the superions dramatically reduces the computational complexity of the problem and provides very clear physical interpretation of conduction phenomena in the narrow pores.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.82.051103