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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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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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