Phase transitions in 2d orders coupled to the Ising model
| Autor: | Lisa Glaser |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Phase transition Statistical Mechanics (cond-mat.stat-mech) Physics and Astronomy (miscellaneous) Scale (ratio) 010308 nuclear & particles physics Computer Science::Information Retrieval Phase (waves) FOS: Physical sciences Observable General Relativity and Quantum Cosmology (gr-qc) Causal sets Coupling (probability) 01 natural sciences General Relativity and Quantum Cosmology 0103 physical sciences Ising model Statistical physics 010306 general physics Scaling Condensed Matter - Statistical Mechanics |
| Zdroj: | Classical and Quantum Gravity. 38:145017 |
| ISSN: | 1361-6382 0264-9381 |
| DOI: | 10.1088/1361-6382/abf1c5 |
| Popis: | The $2$d orders are a sub class of causal sets, which is especially amenable to computer simulations. Past work has shown that the $2$d orders have a first order phase transition between a random and a crystalline phase. When coupling the $2$d orders to the Ising model, this phase transition coincides with the transition of the Ising model. The coupled system also shows a new phase, at negative $\beta$, where the Ising model induces the geometric transition. In this article we examine the phase transitions of the coupled system, to determine their order, as well as how they scale when the system size is changed. We find that the transition at positive $\beta$ seems to be of mixed order, while the two transitions at negative $\beta$ appear continous/ first order for the Ising model/ the geometry respectively. The scaling of the observables with the system size on the other hand is fairly simple, and does, where applicable, agree with that found for the pure $2$d orders. We find that the location of these transitions has fractional scaling in the system size. Comment: 34 pages, 22 figures, v2 matches journal version, to appear in CQG |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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