Perex
Abstract:
Diffusion of particles in narrow channels where particles cannot pass each other (the single-file diffusion) naturally occurs in systems like zeolites or narrow biological pores. Due to the interparticle hard-core interaction the diffusion of one specific particle (a tagged particle or a tracer) among interacting ones is slowed down significantly as compared to the unconstrained Brownian motion. In the seminar I will present an exactly solvable model for the single-file diffusion in open systems with variable number of particles.
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New physical effects emerging due to both the interparticle entropic repulsion and the presence of the boundaries will be discussed in the long-time limit. They include nontrivial dynamical exponents which depend on the initial order of the tagged particle in the channel and/or the subdiffusive dynamics of the tracer in the thermodynamic limit characterized by the generalized diffusion coefficient which is different from that reported for the closed infinite homogeneous system.