Events in MathSys and Complexity Science
This is a calendar page detailing events within the MathSys CDT. It also acts as a booking diary for the Seminar Room D1.07. To book D1.07 please email Sheetal.Sharma@warwick.ac.uk
Please note that your event booking is for D1.07 only. The adjacent common room is a private area for the MathSys Centre that cannot used as part of your booking.
MathSys CDT events have priority for D1.07 room bookings.
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Complexity Forum: "Trapping, pumping and boundary layers in single file diffusion"
TITLE: "Trapping, pumping and boundary layers in single file diffusion"
SPEAKER: Gunter Schuetz (Forschungszentrum Jülich)
ABSTRACT:
Single-file diffusion is a stochastic many-body process where particles cannot pass each other during diffusion due to geometric constraints (e.g. in a narrow channel) or complex transport mechanisms (e.g. in molecular motors). In recent work this generic quasi one-dimensional phenomenon has been suggested to explain an experimentally observed trapping effect of a binary mixture of hydrocarbon molecules adsorbed in certain zeolites. Also unexpected boundary layers and a non-equilibrium pumping effect known from symporter ion channels and have been reported in simulation studies of single-file diffusion. We show that these observations (and more!) can be explained in terms of the two-component symmetric exclusion process. Indeed, exact analytical treatment of this model for single-file diffusion reveals the existence of a novel discontinuous phase transition in the far-from equilibrium regime of this one-dimensional system with short range interaction.