Ising Chains Properties at Low Temperature Extended Analysis

Authors

  • Mansoor A.Z. Habeeb University of Kufa
  • Nazera K. Dakhil University of Kufa
  • Fatimah O. salman University of Kufa

DOI:

https://doi.org/10.31642/JoKMC/2018/020206

Keywords:

Random bond , , Ising chain , magnetic field five-antiferromagnetic bond

Abstract

The transfer matrix method is used to describe the properties of the random bond of a simple periodic frustrated Ising chain in a uniform magnetic field. Doman and Williams(1982) are found expressions for the thermodynamic functions of the system at low temperature. Their methods is extended to apply to a system of five-antiferromagnetic bond Ising chain terminated by a ferromagnetic bond at low temperatures. New expressions for the magnetization, energy, and entropy as a functions of magnetic field is found. All results are in agreement with the previous results.

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References

B.G.S Doman and J K Williams “Low temperature properties of frustrated Ising chains” department of applied mathematics and theoretical physics, Liverpool, solid state phys., 15 (1982) 1693-1706. DOI: https://doi.org/10.1088/0022-3719/15/8/015

Chandan Dasgupta “Introduction to the Theory of spin glasses” Indian Institute of Science, School on Glass Formers and Glasses, JNCASR, Bangalore, January 2010.

Hidetoshi Nishimori “Elements of phase transitions and critical phenomena” Tokyo Institute of technology, and Gerardo Ortiz Indiana university 2010. DOI: https://doi.org/10.1093/acprof:oso/9780199577224.001.0001

J K Williams “Ground state properties of frustrated Ising chains” department of applied mathematics and theoretical physics, the university of Liverpool, Liverpool, solid state phys., 14 (1981) 4095-4107. DOI: https://doi.org/10.1088/0022-3719/14/28/011

M. Saber “A simple approximation method for dilute Ising systems” International Centre for theoretical physics, Trieste, Italy,1996.

Mansoor AZ. Habeeb “Frustrated Ising chains Properties” PhD Thesis 1984 Liverpool University.

Peter Young “Phase Transitions in Spin Glasses” Hierarchical Systems Research Foundation university of California 2008.

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Published

2014-12-01

How to Cite

Habeeb, M. A., Dakhil, N. K., & salman, F. O. (2014). Ising Chains Properties at Low Temperature Extended Analysis. Journal of Kufa for Mathematics and Computer, 2(2), 37–40. https://doi.org/10.31642/JoKMC/2018/020206

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