Cumulants for an Ising Model for Folded 1-d Small-World Materials

2006 ◽  
pp. 201-204
Author(s):  
M. A. Novotny
Keyword(s):  
Ising Model ◽  
Small World

scholarly journals Comment on “Ising model on a small world network”

2002 ◽  
Vol 66 (1) ◽  
Author(s):  
H. Hong ◽  
Beom Jun Kim ◽  
M. Y. Choi
Keyword(s):  
Ising Model ◽  
Small World ◽  
Small World Network

ISING MODEL ON A SMALL WORLD NETWORK

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2575-2578 ◽  
Author(s):  
TIAN-YI CAI ◽  
ZHEN-YA LI
Keyword(s):  
Ising Model ◽  
Curie Temperature ◽  
Small World ◽  
Small World Network ◽  
Real Network

The properties of 2D Ising model on a small world network are investigated. It is found that Curie temperature increases with the increase of small world links. The relations between the Curie temperature and the concentration of small world links are found. The possibility of using Ising model to describe real network is discussed.

scholarly journals Exact solution of Ising model on a small-world network

2004 ◽  
Vol 70 (2) ◽  
Author(s):  
J. Viana Lopes ◽  
Yu. G. Pogorelov ◽  
J. M. B. Lopes dos Santos ◽  
R. Toral
Keyword(s):  
Exact Solution ◽  
Ising Model ◽  
Small World ◽  
Small World Network

scholarly journals Comparison of Ising Model and Potts Model on Non-Local Directed Small-World Networks

2020 ◽  
Vol 08 (06) ◽  
pp. 1031-1038
Author(s):  
M. A. Sumour ◽  
M. Kh. Srour ◽  
S. M. Baraka ◽  
M. A. Radwan ◽  
R. J. Khozondar ◽  
...  
Keyword(s):  
Ising Model ◽  
Potts Model ◽  
Small World ◽  
Small World Networks ◽  
Non Local

scholarly journals Active-absorbing phase transition and small-world behaviour in Ising model on finite addition type networks in two dimensions

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Pratik Mullick ◽  
Parongama Sen
Keyword(s):  
Ising Model ◽  
Small World ◽  
Fixed Number ◽  
Two Dimensions ◽  
Square Lattice ◽  
Rich Phase ◽  
Different Types ◽  
Two Parameters ◽  
Absorbing States ◽  
Absorbing Phase Transition

Abstract We consider the ordering dynamics of the Ising model on a square lattice where an additional fixed number of bonds connect any two sites chosen randomly from a total of $N$ lattice sites. The total number of shortcuts added is controlled by two parameters $p$ and $\alpha$ for fixed $N$. The structural properties of the network are investigated which show that the small-world behaviour is obtained along the line $\alpha=\frac{\ln (N/2p)}{\ln N}$, which separates regions with ultra-small world like behaviour and short-ranged lattice like behaviour. We obtain a rich phase diagram in the $p-\alpha$ plane showing the existence of different types of active and absorbing states to which the Ising model evolves to and their boundaries.

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