2018/08/31 by R. L. C. Vink, Richard L. C. Vink · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Chemical and Physical Properties of Materials #Condensed matter physics #Critical exponent #Geometry #Material Dynamics and Properties #Mathematical physics #Mathematics #Monte Carlo method #Phase transition #Physics #Renormalization group #Scaling #Statistical physics #Statistics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.98.062109
published in Physical review. E 98(6) (American Physical Society) · 7 pages, 8 figures
openalex publication_date 2018/12/06 · arxiv created 2018/12/14 · arxiv updated 2018/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The displacive structural phase transition in a two-dimensional model solid due to Benassi et al. [A. Benassi et al., Phys. Rev. Lett. 106, 256102 (2011)] is analyzed using Monte Carlo simulations and finite-size scaling. The model is shown to be a member of the two-dimensional six-state clock model universality class. Consequently, the model features two phase transitions, implying the existence of three thermodynamically distinct phases, namely, a low-temperature phase with long-range order, an intermediate critical phase with power-law decay of correlations, and a high-temperature phase with short-range order.