scholarly journals Finite size effects for the Ising model on random graphs with varying dilution

2009 ◽  
Vol 388 (17) ◽  
pp. 3413-3425 ◽  
Author(s):  
Julien Barré ◽  
Antonia Ciani ◽  
Duccio Fanelli ◽  
Franco Bagnoli ◽  
Stefano Ruffo
Keyword(s):  
Ising Model ◽  
Random Graphs ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects

scholarly journals Finite size effects for the Ising Model coupled to 2-D random surfaces

1996 ◽  
Vol 368 (1-2) ◽  
pp. 55-63 ◽  
Author(s):  
N.D. Hari Dass ◽  
B.E. Hanlon ◽  
T. Yukawa
Keyword(s):  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Random Surfaces

scholarly journals Finite-size effects in the interface of the 3D Ising model

1993 ◽  
Vol 302 (1) ◽  
pp. 74-79 ◽  
Author(s):  
M Caselle ◽  
F Gliozzi ◽  
S Vinti
Keyword(s):  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
3D Ising Model

Coupling-anisotropy and finite-size effects in interfacial tension of the two-dimensional Ising model

1999 ◽  
Vol 32 (26) ◽  
pp. 4897-4906 ◽  
Author(s):  
Ming-Chya Wu ◽  
Ming-Chang Huang ◽  
Yu-Pin Luo ◽  
Tsong-Ming Liaw
Keyword(s):  
Ising Model ◽  
Interfacial Tension ◽  
Size Effects ◽  
Finite Size ◽  
Two Dimensional ◽  
Finite Size Effects

Finite-size effects in exponential random graphs

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
A Gorsky ◽  
O Valba
Keyword(s):  
Random Graphs ◽  
Ground State ◽  
Size Effects ◽  
Chemical Potential ◽  
Network Flows ◽  
Finite Size ◽  
Critical Value ◽  
Star Model ◽  
Finite Size Effects ◽  
Exponential Random Graphs

Abstract In this article, we show numerically the strong finite-size effects in exponential random graphs. Particularly, for the two-star model above the critical value of the chemical potential for triplets a ground state is a star-like graph with the finite set of hubs at network density $p<0.5$ or as the single cluster at $p>0.5$. We find that there exists the critical value of number of nodes $N^{*}(p)$ when the ground state undergoes clear-cut crossover. At $N>N^{*}(p),$ the network flows via a cluster evaporation to the state involving the small star in the Erdős–Rényi environment. The similar evaporation of the cluster takes place at $N>N^{*}(p)$ in the Strauss model. We suggest that the entropic trap mechanism is relevant for microscopic mechanism behind the crossover regime.

THE ISING MODEL STUDIED USING EVOLUTIONARY APPROACH

2005 ◽  
Vol 19 (04) ◽  
pp. 169-179 ◽  
Author(s):  
TOMASZ M. GWIZDAŁŁA
Keyword(s):  
Free Energy ◽  
Solid State ◽  
Ising Model ◽  
Size Effects ◽  
Finite Size ◽  
Evolutionary Approach ◽  
Pair Approximation ◽  
Global Minima ◽  
Finite Size Effects ◽  
The One

Evolutionary algorithms are very powerful techniques for the search of global minima. In this work we want to present the evolutionary approach to the one of the most fundamental problems of solid state magnetism: the Ising model. For the samples built in the most simple way, i.e. only from the ±1 spins, various temperature characteristics coming from the minimization of Gibbs free energy with entropy calculated from the pair approximation are shown. The calculations have been performed for samples of different magnitude which allowed the consideration of finite size effects.

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