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Journal of Statistical Physics, Vol. 97, Nos. 12, 1999 Spontaneous Breaking of Translational Invariance and
 

Summary: Journal of Statistical Physics, Vol. 97, Nos. 12, 1999
Spontaneous Breaking of Translational Invariance and
Spatial Condensation in Stationary States on a Ring.
I. The Neutral System
Peter F. Arndt,1, 3
Thomas Heinzel,1
and Vladimir Rittenberg1, 2
Received September 15, 1998; final May 18, 1999
We consider a model in which positive and negative particles with equal den-
sities diffuse in an asymmetric, CP-invariant way on a ring. The positive par-
ticles hop clockwise, the negative counterclockwise, and oppositely charged
adjacent particles may swap positions. The model depends on two parameters.
Analytic calculations using quadratic algebras, inhomogeneous solutions of the
mean-field equations, and Monte Carlo simulations suggest that the model has
three phases: (1) a pure phase in which one has three pinned blocks of only
positive or negative particles and vacancies and in which translational
invariance is broken; (2) a mixed phase in which the current has a linear
dependence on one parameter, but is independent of the other one and of the
density of the charged particles; in this phase one has a bump and a fluid, the
bump (condensate) containing positive and negative particles only, the fluid

  

Source: Arndt, Peter - Max-Planck-Institut fr molekulare Genetik

 

Collections: Physics; Biotechnology