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Riemannian scalar curvature diagrams for some pure andmixed-spin Ising chains

2019
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Advisor: Prof. Dr. Rıza Erdem

Abstract (EN)

One-dimensional spin-1/2 Ising, spin-1 Blume-Capel and mixed-spin Ising models in the long itudinal magnetic field have been investigated with in the frame work of Ri- emannian geometry. Firstly, exact solutions of each chain using transfer matri xmethod and Gibbs free energy relation(G) are given. The metric tensor elements are obtained with the help of G and using their partial derivatives the curvature scalar(R) is derived. Results are presented as three-dimensional R - diagrams

Author

Dr. Fatma Hülya Uğurlu

How to Cite

Fatma Hülya Uğurlu (Master Thesis). Riemannian scalar curvature diagrams for some pure andmixed-spin Ising chains, 2019, Akdeniz University.

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