Critical behaviour of the three-dimensional Ising model specific heat below Tc

1968 ◽  
Vol 1 (6) ◽  
pp. 1588-1595 ◽  
Author(s):  
H Garelick ◽  
J W Essam
Keyword(s):  
Ising Model ◽  
Specific Heat ◽  
Three Dimensional ◽  
Critical Behaviour

scholarly journals Specific-heat exponent for the three-dimensional Ising model from a 24th-order high-temperature series

1994 ◽  
Vol 49 (18) ◽  
pp. 12909-12914 ◽  
Author(s):  
Gyan Bhanot ◽  
Michael Creutz ◽  
Uwe Glässner ◽  
Klaus Schilling
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Specific Heat ◽  
Three Dimensional ◽  
Temperature Series

Scaling Regimes and the Singularity of Specific Heat in the 3D Ising Model

2013 ◽  
Vol 14 (2) ◽  
pp. 355-369 ◽  
Author(s):  
J. Kaupužs ◽  
R. V. N. Melnik ◽  
J. Rimšāns
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Specific Heat ◽  
Power Law ◽  
Three Dimensional ◽  
The Other ◽  
Data Sets ◽  
Monte Carlo Data ◽  
Binder Cumulant ◽  
3D Ising Model

AbstractThe singularity of specific heat CV of the three-dimensional Ising model is studied based on Monte Carlo data for lattice sizes L≤1536. Fits of two data sets, one corresponding to certain value of the Binder cumulant and the other — to the maximum of CV, provide consistent values of C0 in the ansatz CV(L)=C0+ALα/ν at large L, if α/ν=0.196(6). However, a direct estimation from our data suggests that α/ν, most probably, has a smaller value (e.g., α/ν= 0.113(30)). Thus, the conventional power-law scaling ansatz can be questioned because of this inconsistency. We have found that the data are well described by certain logarithmic ansatz.

scholarly journals Critical behaviour of the three-dimensional gonihedric Ising model

1998 ◽  
Vol 63 (1-3) ◽  
pp. 622-624 ◽  
Author(s):  
E.N.M. Cirillo ◽  
G. Gonnella ◽  
A. Pelizzola
Keyword(s):  
Ising Model ◽  
Three Dimensional ◽  
Critical Behaviour

Critical behaviour of a heat capacity for three-dimensional Ising model

2021 ◽  
Author(s):  
Vladislav I. Egorov ◽  
Olga G. Maksimova ◽  
Boris V. Kryzhanovsky ◽  
Leonid B. Litinskii
Keyword(s):  
Heat Capacity ◽  
Ising Model ◽  
Three Dimensional ◽  
Critical Behaviour
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