Phase-transition problem and magnetic short-range order in Heisenberg spin glasses

1987 ◽  
Vol 36 (4) ◽  
pp. 2440-2442 ◽  
Author(s):  
K. Westerholt
Keyword(s):  
Phase Transition ◽  
Spin Glasses ◽  
Short Range ◽  
Short Range Order ◽  
Range Order ◽  
Heisenberg Spin ◽  
Transition Problem ◽  
Phase Transition Problem

Antiferroelectric phase transition in titanite: Excess entropy and short range order

2000 ◽  
Vol 85 (3-4) ◽  
pp. 557-562 ◽  
Author(s):  
Stuart A. Hayward ◽  
Jaime del Cerro ◽  
Ekhard K.H. Salje
Keyword(s):  
Phase Transition ◽  
Short Range ◽  
Short Range Order ◽  
Excess Entropy ◽  
Range Order ◽  
Antiferroelectric Phase

Distribution of magnetic short-range order in spin-glasses

1981 ◽  
Vol 24 (5) ◽  
pp. 2701-2710 ◽  
Author(s):  
W. Kinzel ◽  
K. Binder
Keyword(s):  
Spin Glasses ◽  
Short Range ◽  
Short Range Order ◽  
Range Order

Magnetic phase transition and short range order in Nd2BaCuO5

1991 ◽  
Vol 157 (4-5) ◽  
pp. 306-308 ◽  
Author(s):  
I.V. Paukov ◽  
M.N. Popova ◽  
B.V. Mill'
Keyword(s):  
Phase Transition ◽  
Magnetic Phase Transition ◽  
Short Range ◽  
Short Range Order ◽  
Magnetic Phase ◽  
Range Order

LONG RANGE 1-d POTENTIAL AT BORDER OF THERMODYNAMIC LIMIT

2006 ◽  
Vol 20 (11) ◽  
pp. 649-654 ◽  
Author(s):  
O. SHANKER
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Thermodynamic Limit ◽  
Short Range ◽  
Short Range Order ◽  
Range Order ◽  
Long Range Order ◽  
Important Conclusion ◽  
Great Caution ◽  
Sufficiency Conditions

In this work we consider new forms of the 1-d long range potential close to the thermodynamic limit. We also look at the potential close to the transition from long range order to short range order. We find an interesting duality between the two potentials, based on Dyson's sufficiency conditions for the existence of a phase transition. An important conclusion of our study is that the very long range nature of the potential causes Monte Carlo simulations to reach an apparent, but misleading, convergence. Thus, one needs to exercise great caution in deriving conclusions from such studies.

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