Investigation of Magnetic Properties of Spin 5/2 Ising Chain by Using Transfer Matrix Method

Year 2018, Volume: 22 Issue: 6, 1901 - 1906, 01.12.2018

Mehmet Gökhan Şensoy , Mehmet Batı

https://doi.org/10.16984/saufenbilder.417384

Cited By: 1

Abstract

A magnetic property of the one dimensional spin 5/2
Ising model under the magnetic field has been investigated by means of transfer
matrix method. Thermodynamic response functions are also obtained for varying
values of scaling temperature and scaling magnetic field. Entropy and heat
capacity of the system were calculated by benefiting from the temperature
dependencies of Helmholtz free energy. Our simulation results demonstrate that
as the strength of the magnetic field is increased, heat capacity tend to shift
to the relatively higher temperature regions, and these findings are consistent
with previous results for the low spin values in one dimensional Ising systems.

Keywords

Magnetic properties, Ising chain, Transfer matrix method, Low dimensional systems

Transfer Matris Yöntemi Kullanılarak Spin 5/2 Ising Zincirinin Manyetik Özelliklerinin İncelenmesi

Abstract

 Manyetik alan altındaki
bir boyutlu spin 5/2 Ising modelinin manyetik özellikleri transfer matris
metodu kullanılarak incelenmiştir. Termodinamik cevap fonksiyonları
ölçeklendirilmiş sıcaklık ve manyetik alanın farklı değerleri için elde
edilmiştir. Helmholtz serbest enerjisinin sıcacklığa bağlı değişiminden
yararlanarak, sistemin entropi ve ısı kapasitesi hesaplanmıştır. Similasyon
sonuçları, manyetik alan şiddetinin artmasıyla ısı kapasitesinin bağıl olarak
daha yüksek sıcaklık bölgesine kaydığını göstermektedir ve bu bulgular düşük
spin değerli bir boyutlu Ising sistemleri için elde edilen daha önceki sonuçlar
ile uyumludur.

Keywords

Manyetik özellikler, Ising zinciri, Transfer matris yöntemi, Düşük boyutlu sistemler

References

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