Scaling Relations For The CLG's Critical Exponents
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908644092674048 |
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| author | Erignoux, Clément Shapira, Assaf Simon, Marielle |
| author_facet | Erignoux, Clément Shapira, Assaf Simon, Marielle |
| contents | We consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint that only particles with at least one occupied neighbour can jump. In dimension d > 2, this model features self-organized criticality at some critical density of particles. Numerical simulations predict the existence of scaling exponents close to criticality, and several relations can be derived between these exponents. The goal of this article is to give a mathematical framework for these relations, which have been numerically established in a companion article. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08074 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scaling Relations For The CLG's Critical Exponents Erignoux, Clément Shapira, Assaf Simon, Marielle Mathematical Physics We consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint that only particles with at least one occupied neighbour can jump. In dimension d > 2, this model features self-organized criticality at some critical density of particles. Numerical simulations predict the existence of scaling exponents close to criticality, and several relations can be derived between these exponents. The goal of this article is to give a mathematical framework for these relations, which have been numerically established in a companion article. |
| title | Scaling Relations For The CLG's Critical Exponents |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.08074 |