Ising Model on Tangled Chain. II. Magnetization and Susceptibility

• Authors: R. Mejdani
• Languages of publication: EN

Abstracts

EN

In the preceding paper we have considered an Ising model defined on tangled chain to study the behaviour of the free energy and entropy, particularly in the zero-field and zero-temperature limit. In this paper, following the main line and basing on some results of the previous work, we shall study in the "language" of state configurations the behaviour of the magnetization and the susceptibility for different conditions of the model, to understand better the competition between the ferromagnetic bonds along the chain and the antiferromagnetic additional bonds across the chain. Particularly interesting is the behaviour of the susceptibility in the zero-field and zero-temperature limit. Exact solutions for the magnetization and susceptibility, generated by analytical calculations and iterative algorithms, are described. The additional bonds, introduced as a form of perfect disorder, indicate a particular effect on the spin correlation. We found that the condition J = -J' between the ferromagnetic interaction J along the chain and the antiferromagnetic interaction J' across the chain is somewhat as a "transition-region" condition for this behaviour.

Keywords

EN

65.50.+m; 75.10.Hk; 75.10.Nr; 05.50.+q

Discipline

• 75.10.Nr: Spin-glass and other random models(for spin glasses and other random magnets, see 75.50.Lk)
• 75.10.Hk: Classical spin models
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1994
• Volume: 85
• Issue: 6
• Pages: 919-935

Dates

published

1994-06

received

1994-02-11

Contributors

author

R. Mejdani

• International Centre for Theoretical Physics, Trieste 34100, Italy and Department of Physics, University of Tirana, Tirana, Albania

Identifiers

DOI

10.12693/APhysPolA.85.919