scholarly journals Study of a Long Range Perturbation of a One-Dimensional Kac Model

2011 ◽  
Vol 142 (3) ◽  
pp. 487-509
Author(s):  
Marzio Cassandro ◽  
Immacolata Merola ◽  
Maria Eulalia Vares
1994 ◽  
Vol 49 (12) ◽  
pp. 1212-1214
Author(s):  
Á . Péntek ◽  
Z. Toroczkai ◽  
D. H. Mayer ◽  
T. Tél

Abstract Ising chains characterized by smoothly varying two-body potentials, including a generalized version of the Kac model, are studied. As a novel aspect we show that one-dimensional maps associated with such chains in the spirit of the thermodynamical formalism possess fractal deriva­tives. We discuss how long-range potentials lead to intermittent-like behavior in the associated one-dimensional map.


Author(s):  
Till El Harrar ◽  
Benedikt Frieg ◽  
Mehdi D. Davari ◽  
Karl-Erich Jaeger ◽  
Ulrich Schwaneberg ◽  
...  

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
E. S. Kozlyakova ◽  
A. V. Moskin ◽  
P. S. Berdonosov ◽  
V. V. Gapontsev ◽  
S. V. Streltsov ◽  
...  

AbstractUniform quasi-one-dimensional integer spin compounds are of interest as a potential realization of the Haldane conjecture of a gapped spin liquid. This phase, however, has to compete with magnetic anisotropy and long-range ordered phases, the implementation of which depends on the ratio of interchain J′ and intrachain J exchange interactions and both uniaxial D and rhombic E single-ion anisotropies. Strontium nickel selenite chloride, Sr2Ni(SeO3)2Cl2, is a spin-1 chain system which passes through a correlations regime at Tmax ~ 12 K to long-range order at TN = 6 K. Under external magnetic field it experiences the sequence of spin-flop at Bc1 = 9.0 T and spin-flip transitions Bc2 = 23.7 T prior to full saturation at Bsat = 31.0 T. Density functional theory provides values of the main exchange interactions and uniaxial anisotropy which corroborate the experimental findings. The values of J′/J = 0.083 and D/J = 0.357 place this compound into a hitherto unoccupied sector of the Sakai-Takahashi phase diagram.


1997 ◽  
Vol 30 (2) ◽  
pp. 501-505 ◽  
Author(s):  
Aernout C D van Enter ◽  
Boguslaw Zegarlinski

2010 ◽  
Vol 35 (4) ◽  
pp. 550 ◽  
Author(s):  
W. Mu ◽  
D. B. Buchholz ◽  
M. Sukharev ◽  
J. I. Jang ◽  
R. P. Chang ◽  
...  

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