Zeros of partition function for -symmetric model on square lattice-particular case

Nik Hasmi, Nik Aizad and Zakaria, Siti Fatimah and Abdul Razak, Fatimah (2024) Zeros of partition function for -symmetric model on square lattice-particular case. Journal of Sustainability Science and Management, 19 (6). pp. 1-14. E-ISSN 2672-7226

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Abstract

We study a statistical mechanics model of multiple-phase transition called the -symmetric model on the square lattice for five possible spin directions (Q=5). This study aims to investigate the existence of phase transition(s) and discuss the distribution of partition function zeros on the complex-temperature plane. Some cases of energy list χ are considered where they are written in an arbitrary arrangement of integer numbers (usually in decreasing value due to the separation angle). The partition functions are computed using a transfer matrix approach, and their zeros are found numerically using the Newton-Raphson method. A Monte-Carlo Metropolis simulation is then performed to study the critical point of phase transition. The results are compared to the zeros distribution of the partition functions for the considered cases. Studying this generalised model is vital to mimic the system in the real world and to help experimental works use a more sustainable approach.

Item Type:	Article (Journal)
Uncontrolled Keywords:	ZQ -symmetric model, phase transition, Monte-Carlo simulation, sustainable approach.
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science
Depositing User:	Dr Siti Fatimah Zakaria
Date Deposited:	22 Aug 2024 11:58
Last Modified:	22 Aug 2024 11:58
URI:	http://irep.iium.edu.my/id/eprint/114027

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