Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states
| Autor: | Park, Su-Chan |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 101, 052114 (2020) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.101.052114 |
| Popis: | Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent $\beta$ of absorbing phase transitions in systems with two symmetric absorbing states. The value of $\beta$ was conjectured to be $\frac{13}{14}\approx 0.93$ and Monte Carlo simulation studies in the literature have repeatedly reproduced values consistent with the conjecture. In this paper, we systematically estimate $\beta$ by analyzing the effective exponent after finding how strong corrections to scaling are. We show that the widely accepted numerical value of $\beta$ is not correct. Rather, we obtain $\beta = 1.020(5)$ from different models with two symmetric absorbing states. Comment: published |
| Databáze: | arXiv |
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