Back to Search
Start Over
LYAPUNOV EXPONENTS AND MODULATED PHASES OF AN ISING MODEL ON CAYLEY TREE OF ARBITRARY ORDER.
- Source :
-
International Journal of Modern Physics C: Computational Physics & Physical Computation . May2012, Vol. 23 Issue 5, p1250039-1-1250039-15. 15p. - Publication Year :
- 2012
-
Abstract
- Different types of the lattice spin systems with the competing interactions have rich and interesting phase diagrams. In this study a system with competing nearest-neighbor interaction J1, prolonged next-nearest-neighbor interaction Jp and ternary prolonged interaction Jtp is considered on a Cayley tree of arbitrary order k. To perform this study, an iterative scheme is developed for the corresponding Hamiltonian model. At finite temperatures several interesting properties are presented for typical values of α = T/J1, β = −Jp/J1 and γ = -Jtp/J1. This study recovers as particular cases, previous work by Vannimenus1 with γ = 0 for k = 2 and Ganikhodjaev et al.2 in the presence J1, Jp, Jtp with k = 2. The variation of the wavevector q with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of our iterative system are studied in detail. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01291831
- Volume :
- 23
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics C: Computational Physics & Physical Computation
- Publication Type :
- Academic Journal
- Accession number :
- 76371480
- Full Text :
- https://doi.org/10.1142/S0129183112500398