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

Preprint

18 August 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9708128

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.

Keywords

TRANSLATIONAL INVARIANCE
MONTE CARLO SIMULATIONS
DIMENSIONAL STATIONARY
SPONTANEOUS BREAKING
BLOCKS ARE POSITIVE
NEGATIVE PARTICLES
STATIONARY STATES
PARTICLES
VACANCIES

All Related Versions

Version 1, 1997-08-18, ArXiv
Version 1, 1998-09-08, ArXiv (Unconfirmed version)
Version 2, 2000-01-24, ArXiv (Unconfirmed version)
Published version: Journal of Physics A: General Physics, 31 (2), L45.

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