scholarly journals Dynamic critical behavior of the one-dimensional XY model with a long-range interaction

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Seong-Gyu Yang ◽  
Hye Jin Park ◽  
Beom Jun Kim
Keyword(s):  
Long Range ◽  
Critical Behavior ◽  
Xy Model ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
The One

scholarly journals ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL UNDER WEAK AND SPARSE EXTERNAL FIELD

2009 ◽  
Vol 23 (32) ◽  
pp. 5899-5906
Author(s):  
AZER KERIMOV
Keyword(s):  
Ising Model ◽  
External Field ◽  
Long Range ◽  
Low Temperatures ◽  
Gibbs State ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Ferromagnetic Ising Model ◽  
The One

We consider the one-dimensional ferromagnetic Ising model with very long range interaction under weak and sparse biased external field and prove that at sufficiently low temperatures, the model has a unique limiting Gibbs state.

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