Ising Model on Tangled Chain. I. Free Energy and Entropy

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

Abstracts

EN

In this paper we have considered an Ising model defined on tangled chain, in which more bonds have been added to those of pure Ising chain. To understand their competition, particularly between ferromagnetic and antiferromagnetic bonds, we have studied, using the transfer matrix method, some simple analytical calculations and an iterative algorithm, the behaviour of the free energy and entropy, particularly in the zero-field and zero-temperature limit, for different configurations of the ferromagnetic tangled chain and different types of additional interactions (ferromagnetic or antiferromagnetic). 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. Our results indicate also the existence of nonzero entropy at zero temperature.

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: 907-918

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.85.907