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Dergiler / Sakarya University Journal of Science / 2026 / Volume: 17 Issue: 1

Blume Capel Modelinin Mikroskopik Durum Denklemlerini Nonlinear Dinamik Kavramları Kullanilarak Çözülmesi

Solution of Macroscopic State Equations of Blume-Capel Model Using Nonlinear Dynamics Concepts

Asaf Tolga Ülgen
Naci Sünel
Sayfa
—
Yayın Tarihi
2013-04-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The critical values of parameters were calculated from the neutral stability condition and the 3-dimensional phase diagram was plotted.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The macroscopic state equations of Blume-Capel Model were solved by using the concepts of nonlinear dynamics.
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Temel Bulgular & Veri:Negative and positive exchange constant values yield bifurcations of pitchfork and subcritical flip types, respectively.
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Sonuç & Katkı:The critical values of parameters were calculated from the neutral stability condition and the 3-dimensional phase diagram was plotted.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Blume-Capel Models · Phase Transitions · Bifurcation

Özet

The macroscopic state equations of Blume-Capel Model were solved by using the concepts of nonlinear dynamics. Negative and positive exchange constant values yield bifurcations of pitchfork and subcritical flip types, respectively. Hence, we obtained bifurcations corresponding to second order phase transitions. The critical values of parameters were calculated from the neutral stability condition and the 3-dimensional phase diagram was plotted.

Abstract

The macroscopic state equations of Blume-Capel Model were solved by using the concepts of nonlinear dynamics. Negative and positive exchange constant values yield bifurcations of pitchfork and subcritical flip types, respectively. Hence, we obtained bifurcations corresponding to second order phase transitions. The critical values of parameters were calculated from the neutral stability condition and the 3-dimensional phase diagram was plotted.

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Bu Makaleye Atıf Yap

Ülgen, A. T., Sünel, N. (2013). Blume Capel Modelinin Mikroskopik Durum Denklemlerini Nonlinear Dinamik Kavramları Kullanilarak Çözülmesi. Sakarya University Journal of Science, Volume: 17 Issue: 1. https://doi.org/10.16984/saufbed.62612

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