  We study the thermodynamics of kinks in the Phi^6 model using a Langevin code
implemented on a massively parallel computer. This code can be used to study
first order dynamical phase transitions which exhibit multiple length and time
scales. The classical statistical mechanics of a 1+1-dimensional field theory
reduces to a time-independent quantum problem in one dimension via the transfer
integral method. Exact solutions of the Schrodinger equation exist for the
Phi^6 potential (unlike the case for Phi^4) and can be used to check results
from the simulations. The Phi^6 model is also much richer than the Phi^4 model
in terms of the variety of coherent structures and possible phases accompanying
a phase transition. Specifically, we have calculated (in a one dimensional
model) such quantities as the probability density function (PDF) and
field-field correlation functions. These quantities help us understand the
contribution to the specific heat from coherent structures such as domain walls
(kinks) and other transformation structures as opposed to the contribution from
lattice vibrations. We have calibrated our results against known exact
solutions for limiting cases with very high accuracy. Having understood this
problem, we are now extending our Langevin code to higher dimensions.
