ISSN:
1572-9613
Schlagwort(e):
Cayley tree
;
iteration
;
fixed points
;
cycles
;
attractors
;
chaos
;
spin glass
;
frequency locking
;
devil's staircase
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Physik
Notizen:
Abstract An iterative scheme is developed for a renormalized effective nearest-neighbor couplingK r and effective field per siteK r for spins in therth shell of a Cayley tree with nearest neighborJ, and next nearest neighborJ′, interactions between Ising spins on the lattice. In addition to the expected paramagnetic, ferromagnetic, and antiferromagnetic phases, we find an intermediate range ofJ'/J 〈 0 values whereX r, and Kr iterate to a continuous or quasicontinuous attractor in theX-K plane. In this range the local magnetization is mainly chaotic with oscillatory glasslike behavior. Embedded in the chaos, however, are regions of periodic and commensurate phases.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01009804
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