تقرير
On the monotonicity of the critical time in the Constrained-degree percolation model
| العنوان: | On the monotonicity of the critical time in the Constrained-degree percolation model |
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| المؤلفون: | Amaral, Charles S. do, Atman, A. P. F., de Lima, Bernardo N. B. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Statistical Mechanics |
| الوصف: | The Constrained-degree percolation model was introduced in [B.N.B. de Lima, R. Sanchis, D.C. dos Santos, V. Sidoravicius, and R. Teodoro, Stoch. Process. Appl. (2020)], where it was proven that this model has a non-trivial phase transition on a square lattice. We study the Constrained-degree percolation model on the $d$-dimensional hypercubic lattice ($\mathbb{Z}^d$) and, via numerical simulations, found evidence that the critical time $t_{c}^{d}(k)$ is monotonous not increasing in the constrained $k$ if $d=3,4$, like it is when $d=2$. We verify that the lowest constrained value $k$ such that the system exhibits a phase transition is $k=3$ and that the correlation critical exponent $\nu$ for the Constrained-degree percolation model and ordinary Bernoulli percolation are the same. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physa.2020.125291 |
| URL الوصول: | http://arxiv.org/abs/2006.14533 |
| رقم الأكسشن: | edsarx.2006.14533 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physa.2020.125291 |
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