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Complexity Centre and MathSys CDT events carry priority over room D1.07.

To book D1.07 please email Sheetal dot Sharma at warwick dot ac dot 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.

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Complexity Forum: "Trapping, pumping and boundary layers in single file diffusion"

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Location: Mathematics B1.01

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.

 

 

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