Revisiting log-periodic oscillations
| Autor: | Luck, Jean-Marc |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Physica A 643 (2024) 129821 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physa.2024.129821 |
| Popis: | This work is inspired by a recent study of a two-dimensional stochastic fragmentation model. We show that the configurational entropy of this model exhibits log-periodic oscillations as a function of the sample size, by exploiting an exact recursion relation for the numbers of its jammed configurations. This is seemingly the first statistical-mechanical model where log-periodic oscillations affect the size dependence of an extensive quantity. We then propose and investigate in great depth a one-dimensional analogue of the fragmentation model. This one-dimensional model possesses a critical point, separating a strong-coupling phase where the free energy is super-extensive from a weak-coupling one where the free energy is extensive and exhibits log-periodic oscillations. This model is generalized to a family of one-dimensional models with two integer parameters, which exhibit essentially the same phenomenology. Comment: 26 pages, 13 figures, 2 tables |
| Databáze: | arXiv |
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