1. Test of universality at first order phase transitions: The Lebwohl–Lasher model.
- Author
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Xue, Aojie, Xu, Jiahao, Landau, D. P., and Binder, K.
- Subjects
- *
MONTE Carlo method , *PHASE transitions , *GAUSSIAN distribution , *DISTRIBUTION (Probability theory) , *LATTICE constants - Abstract
Finite size scaling for a first order phase transition, where a continuous symmetry is broken, is tested using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor. Predictions are compared to the data from Monte Carlo simulations of the Lebwohl–Lasher model on L × L × L simple cubic lattices. The data show that the intersection of the fourth-order cumulant of the order parameter for different lattice sizes can be expressed in terms of the relative degeneracy q = 4π of the ordered and disordered phases. This result further supports the concept of universality at first order transitions developed recently. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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