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

TL;DR

This paper investigates the anisotropic behaviors in driven diffusive systems, revealing that these anisotropies are non-universal and can flip sign based on local interactions and temperature, bridging deterministic and stochastic models.

Contribution

It demonstrates that triangular anisotropies in driven diffusive systems are non-universal and can be reversed by local modifications, clarifying discrepancies between different modeling approaches.

Findings

Anisotropy sign depends on local interactions and temperature.

Anisotropy can be flipped in coarse-grained models.

Universal phenomena can be identified through model comparisons.

Abstract

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.