Triangular anisotropies in Driven Diffusive Systems: reconciliation of Up and Down

Details Triangular anisotropies in Driven Diffusive Systems: reconciliation of Up and Down Triangular anisotropies in Driven Diffusive Systems: reconciliation of Up and Down

1999-03-02

arxiv.org/abs/cond-mat/9903049v1

Phys. Rev. E v.60, p. 2710 (1999)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures

Scientific paper

10.1103/PhysRevE.60.2710

Deterministic coarse-grained descriptions of driven diffusive systems (DDS) have been hampered by apparent inconsistencies with kinetic Ising models of DDS. In the evolution towards the driven steady-state, ``triangular'' anisotropies in the two systems point in opposite directions with respect to the drive field. We show that this is non-universal behavior in the sense that the triangular anisotropy ``flips'' with local modifications of the Ising interactions. The sign and magnitude of the triangular anisotropy also vary with temperature. We have also flipped the anisotropy of coarse-grained models, though not yet at the latest stages of evolution. Our results illustrate the comparison of deterministic coarse-grained and stochastic Ising DDS studies to identify universal phenomena in driven systems. Coarse-grained systems are particularly attractive in terms of analysis and computational efficiency.

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