Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring

Details Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring

1997-08-18

arxiv.org/abs/cond-mat/9708128v1

J.Phys.A:Math.Gen. 31 (1998) L45

Physics

Condensed Matter

Statistical Mechanics

7 pages, LaTeX, needs epsf.sty

Scientific paper

10.1088/0305-4470/31/2/001

We consider a model in which positive and negative particles diffuse in an asymmetric, CP-invariant way on a ring. The positive particles hop clockwise, the negative counterclockwise and oppositely-charged adjacent particles may swap positions. Monte-Carlo simulations and analytic calculations suggest that the model has three phases; a "pure" phase in which one has three pinned blocks of only positive, negative particles and vacancies, and in which translational invariance is spontaneously broken, a "mixed" phase with a non-vanishing current in which the three blocks are positive, negative and neutral, and a disordered phase without blocks.

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