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11:15-13:00: C.
Kuelske
*
14:15-16:00: S.
Whittington
Randomly
coloured self-avoiding walks: a model of random copolymers.
Abstracts:
S.
Whittington
Randomly
coloured self-avoiding walks: a model of random copolymers.
Copolymers are polymers with more than one kind of monomer. If the sequence of comonomers is determined by a random process, the randomness is quenched, since it can't be changed without a chemical event occurring. One possible model of the configurational and themodynamic properties of a random copolymer is a self-avoiding walk with its vertices randomly coloured, say A and B.
This model can be used to
investigate adsorption of a random copolymer at an impenetrable
surface or localization at an interface between two immiscible
liquids. |
The seminar will present some rigorous results about both problems, and highlight
some open questions. In addition some numerical data will be discussed,
partly for comparison with
the rigorous results, and partly to emphasise how little we know about
some aspects
of these problems.