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Triangular anisotropies in driven diffusive systems: reconciliation of up and down
1Centre for the Physics of Materials, Physics Department, McGill University, Montréal Quebec, Canada H3A 2T8.
Summary
Deterministic coarse-grained descriptions of driven diffusive systems (DDS) show nonuniversal "triangular" anisotropies that flip with Ising interaction modifications and temperature changes, aiding universal phenomena identification.
Area of Science:
- Statistical physics
- Complex systems
Background:
- Deterministic coarse-grained descriptions of driven diffusive systems (DDS) present inconsistencies with kinetic Ising models.
- A key discrepancy lies in the opposing directions of "triangular" anisotropies during evolution towards a driven steady-state.
Purpose of the Study:
- To reconcile deterministic coarse-grained models with kinetic Ising models of DDS.
- To investigate the universality of triangular anisotropies in DDS and identify universal phenomena.
Main Methods:
- Comparing deterministic coarse-grained models with stochastic Ising models of DDS.
- Analyzing the effect of local modifications to Ising interactions on triangular anisotropy.
- Investigating the influence of temperature on anisotropy sign and magnitude.
Main Results:
- The "triangular" anisotropy in DDS is shown to be nonuniversal.
- Anisotropy direction flips with local modifications of Ising interactions.
- Anisotropy sign and magnitude vary with temperature and model type.
Conclusions:
- Deterministic coarse-grained models can be reconciled with Ising models by understanding nonuniversal behaviors.
- Identifying universal phenomena in driven systems requires careful comparison of different modeling approaches.
- Coarse-grained systems offer computational efficiency and analytical tractability for DDS studies.