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, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
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.
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.
About Condensed Matter lunchtime seminars
This is a weekly series of informal talks given primarily by members of the institute of condensed matter and complex systems, 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..