Universality Conjectures for Activated Random Walk
Abstract
Activated Random Walk is a particle system displaying Self-Organized Criticality, in that the dynamics spontaneously drive the system to a critical state. How universal is this critical state? We state many interlocking conjectures aimed at different aspects of this question: scaling limits, microscopic limits, temporal and spatial mixing, incompressibility, and hyperuniformity.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- 10.48550/arXiv.2306.01698
- arXiv:
- arXiv:2306.01698
- Bibcode:
- 2023arXiv230601698L
- Keywords:
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- Mathematics - Probability;
- Mathematical Physics
- E-Print:
- 22 pages, 10 figures