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Abstract |
Single-file transport, where particles diffuse in narrow channels while
> not overtaking each other, is a fundamental model for the tracer
> subdiffusion observed in confined systems, such as zeolites or carbon
> nanotubes. This anomalous behavior originates from strong bath-tracer
> correlations in 1D, which we characterise in this talk through
> Generalised Density Profiles (GDPs). These GDPs have however remained
> elusive, because they involve an infinite hierarchy of equations. Here,
> for the Symmetric Exclusion Process, a paradigmatic model of single-file
> diffusion, we break the hierarchy and unveil a closed equation satisfied
> by these correlations, which we solve. Beyond quantifying the
> correlations, the central role of this equation as a novel tool for
> interacting particle systems will be further demonstrated by showing
> that it applies to out-of equilibrium situations, other observables and
> other representative single-file systems.
> |
