Phase transitions in random turn walk of hard core

00:00 21-07-2008

'Courier New'; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: HE">  We consider a lattice gas model describing random jumps
of  particles,  which  was  suggested  by  M. E. Fisher.   We find
connection of this model to classical integrable systems.  We have
established that the tau function, the central object in integrabi-
lity, on the one hand generates transition  probabilities  between
configurations of the hard core particles and,  on the other  hand,
generates  "partition functions"  for  this  random  model.  After
finding long time asymptotics,  we  identify  a  phase  transition
w.r.t. a hopping rate of the particles.  This is a joint work with
J. Harnad and J. van de Leur.


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