title: Theory of single-file multiparticle diffusion in narrow pores.
abstract: Single-file diffusion of multiple strongly interacting particles in a one-dimensional pore is described within a general analytical framework. The theory accounts for nonequilibrium conditions, explicit particle-particle interactions, external potential acting on the particles and the fluctuations of the number of particles due to their exchange with external equilibrium reservoirs. It is shown that the problem can be reduced to a closed hierarchical set of partial differential equations of increasing dimensionality, which can be solved numerically. Our framework allows computing any macroscopic characteristic of multiparticle diffusion in the pore. It is shown that the pore occupancy probabilities and the current are rational functions of external concentrations in the steady state. The theory is tested on a simplified model of the narrow rigid pore inspired by the selectivity filter of biological ion channel. Perspectives and limitations of the theory are discussed.
authors.affiliation: Department of Physics of Biological Systems, Institute of Physics, National Academy of Sciences of Ukraine, Prospect Nauki, 46, Kiev 03039, Ukraine.
authors.forename: Valery N
authors.initials: VN
authors.lastname: Kharkyanen
authors.forename: Semen O
authors.initials: SO
authors.lastname: Yesylevskyy
mesh_terms: D004058:Diffusion; D004553:Electric Conductivity; D056004:Molecular Dynamics Simulation; D016062:Porosity; D015221:Potassium Channels / Q000737:chemistry / Q000378:metabolism; D011336:Probability; D011487:Protein Conformation
chemical_list: D015221:Potassium Channels