Equilibrium statistical mechanics of one-dimensional Hamiltonian systems with long-range force

1997 ◽  
Vol 55 (6) ◽  
pp. 6575-6581 ◽  
Author(s):  
Yves Elskens ◽  
Mickaël Antoni
1987 ◽  
Vol 48 (3-4) ◽  
pp. 539-559 ◽  
Author(s):  
Roberto Livi ◽  
Marco Pettini ◽  
Stefano Ruffo ◽  
Angelo Vulpiani

1998 ◽  
Vol 57 (5) ◽  
pp. 5347-5357 ◽  
Author(s):  
Mickaël Antoni ◽  
Yves Elskens ◽  
Caroline Sandoz

1979 ◽  
Vol 32 (3) ◽  
pp. 289 ◽  
Author(s):  
Y Fukui ◽  
T Morita

It is shown that the exact statistical mechanical properties of a one-dimensional self-gravitational system in. the limit of an infinite number of particles are easily obtained with the aid of the virial expansion.


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.


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