An exactly solvable phase transition in an Ising system with a grain boundary

Condensed Matter lunchtime seminar

An exactly solvable phase transition in an Ising system with a grain boundary

  • Event time: 1:00pm
  • Event date: 24th January 2005
  • Speaker: Jamie Wood (University of Edinburgh)
  • Location: Room 2511,

Event details

I will consider the effect of a tier of weakened bonds along the center line of a two-dimensional Ising ferromagnet strip as a model of a grain boundary. When an interface traverses such a strip at an angle, a phase transition may be induced which depends on the temperature, the chosen angle and the degree of bond weakening. The phase boundary for this transition may be computed exactly, and the results confirmed by Monte-Carlo study.
I will also discuss and compare the relaxation of such a system to its equilibrium state using continuous time Monte Carlo simulation with Kawasaki dynamics and with a Langevin approach based on a horizontal solid-on-solid approximation to the above system. This reveals a matter transport mechanism confined to the grain boundary.

This is a weekly series of informal talks given primarily by members of the soft condensed matter and statistical mechanics groups, but is also open to members of other groups and external visitors. The aim of the series is to promote discussion and learning of various topics at a level suitable to the broad background of the group. Everyone is welcome to attend..

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