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arXiv · cond-mat/9708128

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

Peter F. Arndt·Thomas Heinzel·Vladimir Rittenberg
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Abstract

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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Peter F. Arndt, Thomas Heinzel, Vladimir Rittenberg. 1997-08-18. Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring. https://doi.org/10.1088/0305-4470%2F31%2F2%2F001

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