12 research outputs found
A new multivariable 6-psi-6 summation formula
By multidimensional matrix inversion, combined with an A_r extension of
Jackson's 8-phi-7 summation formula by Milne, a new multivariable 8-phi-7
summation is derived. By a polynomial argument this 8-phi-7 summation is
transformed to another multivariable 8-phi-7 summation which, by taking a
suitable limit, is reduced to a new multivariable extension of the
nonterminating 6-phi-5 summation. The latter is then extended, by analytic
continuation, to a new multivariable extension of Bailey's very-well-poised
6-psi-6 summation formula.Comment: 16 page
Nonequilibrium Dynamics in Low Dimensional Systems
In these lectures we give an overview of nonequilibrium stochastic systems.
In particular we discuss in detail two models, the asymmetric exclusion process
and a ballistic reaction model, that illustrate many general features of
nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium
phase transitions. As a secondary theme we shall show how a common mathematical
structure, the q-deformed harmonic oscillator algebra, serves to furnish exact
results for both systems. Thus the lectures also serve as a gentle introduction
to things q-deformed.Comment: 48 pages LaTeX2e with 9 figures and using elsart.cls (included);
Lectures at the International Summer School on Fundamental Problems in
Statistical Physics X, August-September 2001, Altenberg, Germany. v2 corrects
some errors and includes further discussion/reference
Exact results for the 1D asymmetric exclusion process and KPZ fluctuations
05.70.Ln Nonequilibrium and irreversible thermodynamics, 02.50.Ey Stochastic processes, 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion,