Abstract

The general theory of the single-file multiparticle diffusion in narrow pores can be greatly simplified in the case of the inverted bell-like shape of a 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 a groove exists, the motion of multiple ions can be reduced to the motion of a single quasiparticle, called the superion, which moves in a one-dimensional effective potential. The concept of superions reduces the computational complexity of the problem and provides the very clear physical interpretation of conduction phenomena in narrow pores.

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