Phase diagram of the lattice fluid with SRLA-potential on the plane triangular lattice

  • Yaroslav G. Groda Belarusian State Technological University, 13a Svjardlova Street, Minsk 220006, Belarus https://orcid.org/0000-0003-4470-8388
  • Vera S. Grishina Belarusian State Technological University, 13a Svjardlova Street, Minsk 220006, Belarus https://orcid.org/0000-0002-9652-5439
  • Alina Ciach Institute of Physical Chemistry PAS, 44/52 Kasprzaka Street, Warsaw 01-224, Poland
  • Vyacheslav S. Vikhrenko Belarusian State Technological University, 13a Svjardlova Street, Minsk 220006, Belarus https://orcid.org/0000-0002-1619-4845
DOI: https://doi.org/10.33581/2520-2243-2019-3-81-91

Abstract

The lattice system with competing interactions (repulsive between nearest neighbors and attractive between nextnext-nearest neighbors) on a triangular lattice is studied. The possibility of existence of two types of ordered phases in the system is established. The initial lattice was splitted into a system of four identical triangular sublattices to describe  the ordered phases. The geometric order parameter of the system is introduced. Using the order parameter, the critical value of the interaction parameter is determined and the phase diagram of the system is constructed. The dependence  of the critical parameter of the model on the ratio of intensity of competing interactions is investigated. The simulation data for the chemical potential are compared with the results of the quasichemical approximation. It is shown that the quasichemical approximation results in an adequate assessment of the equilibrium properties of the model in the range of its applicability.

Author Biographies

Yaroslav G. Groda, Belarusian State Technological University, 13a Svjardlova Street, Minsk 220006, Belarus

PhD (physics and mathematics), docent; associate professor at the department of mechanics and engineering, faculty of chemical technology and engineering

Vera S. Grishina, Belarusian State Technological University, 13a Svjardlova Street, Minsk 220006, Belarus

postgraduate student at the department of mechanics and engineering, faculty of chemical technology and engineering

Alina Ciach, Institute of Physical Chemistry PAS, 44/52 Kasprzaka Street, Warsaw 01-224, Poland

doctor of science, full professor; professor at the laboratory of complex systems and chemical information processing

Vyacheslav S. Vikhrenko, Belarusian State Technological University, 13a Svjardlova Street, Minsk 220006, Belarus

doctor of science (physics and mathematics), full professor; professor at the department of mechanics and engineering, faculty of chemical technology and  engineering

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Published
2019-10-05
Keywords: lattice fluid, triangular lattice, competing interaction, SRLA-potential, Monte Carlo simulation, order parameter, critical parameter, phase diagram
Supporting Agencies The project has received funding from European Union’s «Horizon-2020» research and innovation program under the Marie Sklodowska-Curie grant agreement No. 734276 and the Ministry of Education of Belarus.
How to Cite
Groda, Y. G., Grishina, V. S., Ciach, A., & Vikhrenko, V. S. (2019). Phase diagram of the lattice fluid with SRLA-potential on the plane triangular lattice. Journal of the Belarusian State University. Physics, 3, 81-91. https://doi.org/10.33581/2520-2243-2019-3-81-91
Issue
No 3 (2019): Journal of the Belarusian State University. Physics
Section
Condensed State Physics

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