Journals / Usak University Journal of Engineering Sciences / 2023 / Cilt: 6 Sayı: 2

Başlıksız makale 1362539

Pages
67–73
Publication Date
2023-12-29
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this context, q represents the non-extensivity parameter of Tsallis statistics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study magnetization has been investigated with the help of Ising model in the frame of non-extensive statistical mechanics where a behavior of interacting elementary moments ensemble is taken into consideration.
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Key Findings & Data:To examine the physical systems with three states and two order parameters, researchers employ the spin-1 single lattice Ising model or three-state systems.
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Conclusion & Impact:In this context, q represents the non-extensivity parameter of Tsallis statistics.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Tsallis statistics · Ising model · Magnetization

Abstract

In this study magnetization has been investigated with the help of Ising model in the frame of non-extensive statistical mechanics where a behavior of interacting elementary moments ensemble is taken into consideration. To examine the physical systems with three states and two order parameters, researchers employ the spin-1 single lattice Ising model or three-state systems. Within this model, various thermodynamic characteristics of phenomena like ferromagnetism in binary alloys, liquid mixtures, liquid-crystal mixtures, freezing, magnetic order, phase transformations, semi-stable and unstable states, ordered and disordered transitions have been investigated for three distinct forms associated with q < 1, q = 1, and q > 1. In this context, q represents the non-extensivity parameter of Tsallis statistics.

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Cite This Article

KIYIKCI, O., KAÇMAZ, K., TUĞRUL, M., OYLUMLUOĞLU, G. (2023). Başlıksız makale 1362539. Usak University Journal of Engineering Sciences, Cilt: 6 Sayı: 2, 67–73. https://ajindex.com/articles/1023640

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References (3)

  1. Yeomans JM. Statistical Mechanics of Phase Transition, Clerandon Press, 1992. Tsallis C. Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys., 1998; 52:479-487., Ising EZ. Contribution to the Theory of Ferromagnetism. Z. Physics, 1925; 31:253-258. Landau L. The Movement of Electrons in the Crystal Lattice. Z. Phys. Sowjet Union, 1933; 4: 644-645. Cabren B. Magnéto-chimie. J. Chim. Phys., 1918; 16: 442-501. Bak P and Boehm JV. Ising Model with Solitons, Phasons, and "The Devil's Staircase", Phy. Rev. 1980; B21: 5297-5308. Binder K and Young AP. Spin Glasses: Experimental Facts, Theoretical Concepts, and Open Questions, Rev. Mod. Phys., 1986; 58: 801-976. Binek C and Kleemann W. Domainlike antiferromagnetic correlations of paramagnetic FeCl2: A field-induced Griffiths phase?, Phys. Rev. Lett. 1994; 72: 1287-1290.
  2. Tsallis C, Mendes RS, Plastino AR. The role of constraints within generalized nonextensive statistics, Physica A. 1998; 261: 534-554. Tsallis C. Possible Generalization of Boltzmann-Gibbs Statistics, Journal of Statistical Physics. 1988; 52: 479487. Tsallis C. Nonextensive Statistical Mechanics and Nonlinear Dynamics, Physica D. 2004; 193: 153-193. Tarasov VE. Possible Experimental Test of Continuous Medium Model for Fractal Media, Physics Letters A. 2005; 336 467-472. Tsallis C. Entropic Nonextensivity: A Possible Measure of Complexity, Chaos, Solitions and Fractals. 2002; 13: 371-391. Kaneyoshi T. A New Type of Cluster Theory in Ising Models (I), Physica A. 1999; 269: 344-356.
  3. Tsallis C, Borges EP. Comment on “Pricing of Financial Derivatives Based on The Tsallis Statistical Theory” by Zhao, Pan, Yue and Zhang, Chaos, Solitons and Fractals. 2021; 148: 111025-111026.