GROUND STATE OF THE SALR LAMELLAR STRUCTURE IN A HEXAGONAL ENVIRONMENT

UDC 339.9:658:630

  • Bildanau Eldar Emiravich – Master of Engineering, PhD student, the Department of Mechanics and Engineering. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: eldar.boldanov@gmail.com

DOI: https://doi.org/10.52065/2520-2669-2021-242-2-19-24

Key words: self-organization, SALR system, lamellar structure, ground state, chemical potential, internal energy.

For citation: Bildanau E. E. Ground state of the SALR lamellar structure in a hexagonal environment. Proceedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2021, no. 1(242), pp. 19–24 (In Russian). DOI: https://doi.org/10.52065/2520-2669-2021-242-2-19-24.

Abstract

Systems of particles with competing interactions, which exhibit attraction at close distances in combination with repulsion at long distances (SALR systems), simulating solutions of polymers and various kinds of colloidal particles, which leads to spontaneous formation of structural phases, are considered. Based on the analysis of a large thermodynamic potential, the ranges of possible values of the chemical potential and the types of streaky structures for systems with competing interactions on a triangular lattice with a spatial limitation of a hexagonal shape in the ground state, without taking into account the interaction of the boundary, were determined, and the following parameters were found, as the number of particles and the internal energy of the system for these structures.

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