Monte Carlo study of the interfacial adsorption of the Blume-Capel model

Nikolaos Fytas, Argyro Mainou, Panagiotis E. Theodorakis, Anastasios Malakis

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Abstract

We investigate the scaling of the interfacial adsorption of the two-dimensional Blume-Capel model using Monte Carlo simulations. In particular, we study the finite-size scaling behavior of the interfacial adsorption of the pure model at both its first- and second-order transition regimes, as well as at the vicinity of the tricritical point. Our analysis benefits from the currently existing quite accurate estimates of the relevant (tri)critical-point locations. In all studied cases, the numerical results verify to a level of high accuracy the expected scenarios derived from analytic free-energy scaling arguments. We also investigate the size dependence of the interfacial adsorption under the presence of quenched bond randomness at the originally first-order transition regime (disorder-induced continuous transition) and the relevant self-averaging properties of the system. For this ex-first-order regime, where strong transient effects are shown to be present, our findings support the scenario of a non-divergent scaling, similar to that found in the original second-order transition regime of the pure model.
Original languageEnglish
Article number012111
Pages (from-to)012111-1- 012111 -5
Number of pages5
JournalPhysical review. E
Volume99
Issue number1
DOIs
Publication statusPublished - 8 Jan 2019

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Fytas, N., Mainou, A., Theodorakis, P. E., & Malakis, A. (2019). Monte Carlo study of the interfacial adsorption of the Blume-Capel model. Physical review. E, 99(1), 012111-1- 012111 -5. [012111]. https://doi.org/10.1103/PhysRevE.99.012111