0022-4715/02/0600-0989/0 © 2002 Plenum Publishing Corporation
Journal of Statistical Physics, Vol. 107, Nos. 5/6, June 2002 (© 2002)
Spontaneous Breaking of Translational Invariance and
Spatial Condensation in Stationary States on a Ring.
II. The Charged System and the Two-Component
Peter F. Arndt1
and Vladimir Rittenberg2
Physics Department, University of California at San Diego, La Jolla, California 92093-0319;
Institute for Theoretical Physics, University of California at Santa Barbara, Santa Barbara,
California 93106-4030; e-mail: email@example.com
Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria
3010, Australia; Physikalisches Institut, Nußallee 12, 53115 Bonn, Germany.
Received January 30, 2001; accepted December 30, 2001
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 clockwise, the negative counter-clockwise and oppositely-