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cond-mat.stat-mech2007★ 1 cited
Density profiles in the raise and peel model with and without a wall. Physics and combinatorics
Francisco C. Alcaraz, Pavel Pyatov, Vladimir Rittenberg
We consider the raise and peel model of a one-dimensional fluctuating interface in the presence of an attractive wall. The model can also describe a pair annihilation process in a…
cond-mat.stat-mech2001
Critical Q=1 Potts Model and Temperley-Lieb Stochastic Processes
Paul A. Pearce, Vladimir Rittenberg, Jan de Gier
We consider the groundstate wave function and spectra of the -site XXZ invariant quantum spin chain with . This chain is related to the critical Q=…
cond-mat.stat-mech2001
Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: II. The Charged System and the Two-component Burgers Equations
Peter F. Arndt, Vladimir Rittenberg
We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop…