Spin-correlation functions of the anisotropicXYchain

1989 ◽  
Vol 40 (7) ◽  
pp. 4627-4632 ◽  
Author(s):  
Rita Basak ◽  
Ibha Chatterjee
Keyword(s):  
Correlation Functions ◽  
Spin Correlation

Spin–Spin Correlations in Site Disordered ±J 2D Ising Spin Glasses

1998 ◽  
Vol 09 (05) ◽  
pp. 685-691
Author(s):  
B. Kawecka-Magiera ◽  
A. Z. Maksymowicz ◽  
M. Kowal ◽  
K. Kulakowski
Keyword(s):  
Correlation Functions ◽  
Spin Glasses ◽  
Interatomic Distance ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Spin Correlations ◽  
Ising Spin ◽  
Bond System ◽  
Random Site

Spin–spin correlation functions <S(0)S(R)> as dependent on interatomic distance R are studied in the random-site two-dimensional Ising S=1/2 ±J system. Oscillations of the correlation functions are found, which is not a case in the random-bond system.

Time-dependent spin-correlation functions in anisotropic systems

Physica ◽  
1973 ◽  
Vol 63 (3) ◽  
pp. 425-458 ◽  
Author(s):  
C. Joukoff-Piette ◽  
P. Résibois
Keyword(s):  
Correlation Functions ◽  
Spin Correlation ◽  
Time Dependent ◽  
Anisotropic Systems

scholarly journals LONG-TIME RELAXATION ON SPIN LATTICE AS A MANIFESTATION OF CHAOTIC DYNAMICS

2004 ◽  
Vol 18 (08) ◽  
pp. 1119-1159 ◽  
Author(s):  
BORIS V. FINE
Keyword(s):  
Correlation Functions ◽  
Time Scale ◽  
Inelastic Neutron Scattering ◽  
Spin Correlation ◽  
Inelastic Neutron ◽  
Theoretical Explanation ◽  
Characteristic Time Scale ◽  
Time Behavior ◽  
Intermediate Structure ◽  
Long Time

The long-time behavior of the infinite temperature spin correlation functions describing the free induction decay in nuclear magnetic resonance and intermediate structure factors in inelastic neutron scattering is considered. These correlation functions are defined for one-, two- and three-dimensional infinite lattices of interacting spins, both classical and quantum. It is shown that, even though the characteristic time-scale of the long-time decay of the correlation functions considered is non-Markovian, the generic functional form of this decay is either simple exponential or exponential multiplied by cosine. This work contains (i) the summary of the existing experimental and numerical evidence of the above asymptotic behavior; (ii) theoretical explanation of this behavior; and (iii) semi-empirical analysis of various factors discriminating between the monotonic and the oscillatory long-time decays. The theory is based on a fairly strong conjecture that, as a result of chaos generated by spin dynamics, a Brownian-like Markovian description can be applied to the long-time properties of ensemble average quantities on a non-Markovian time-scale. The formalism resulting from that conjecture can be described as "correlated diffusion in finite volumes."

Sign in / Sign up

Export Citation Format

Share Document