scholarly journals Extended high-temperature series for theN-vector spin models on three-dimensional bipartite lattices

1995 ◽  
Vol 52 (9) ◽  
pp. 6185-6188 ◽  
Author(s):  
P. Butera ◽  
M. Comi
Keyword(s):  
High Temperature ◽  
Three Dimensional ◽  
Temperature Series ◽  
Spin Models ◽  
Vector Spin Models

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

scholarly journals HIGH-PRECISION ESTIMATES OF CRITICAL QUANTITIES BY MEANS OF IMPROVED HAMILTONIANS

2001 ◽  
Vol 16 (11) ◽  
pp. 2009-2014 ◽  
Author(s):  
MASSIMO CAMPOSTRINI ◽  
PAOLO ROSSI ◽  
ETTORE VICARI ◽  
MARTIN HASENBUSCH ◽  
ANDREA PELISSETTO
Keyword(s):  
Monte Carlo ◽  
High Temperature ◽  
Equation Of State ◽  
High Precision ◽  
Critical Exponents ◽  
Three Dimensional ◽  
Spin Models ◽  
Critical Equation ◽  
Universality Classes ◽  
Very High

Three-dimensional spin models of the Ising and XY universality classes are studied by a combination of high-temperature expansions and Monte Carlo simulations applied to improved Hamiltonians. The critical exponents and the critical equation of state are determined to very high precision.

High and Low Temperature Series Estimates for the Critical Temperature of the 3D Ising Model

1998 ◽  
Vol 09 (01) ◽  
pp. 195-209 ◽  
Author(s):  
Zaher Salman ◽  
Joan Adler
Keyword(s):  
High Temperature ◽  
Ising Model ◽  
Low Temperature ◽  
Three Dimensional ◽  
Temperature Series ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Error Bars ◽  
Temperature Side ◽  
3D Ising Model

We have analyzed low and high temperature series expansions for the three-dimensional Ising model on the simple cubic lattice. Our analysis of Butera and Comi's new 21-term high temperature series yields [Formula: see text] and from the 32-term low temperature series of Vohwinkel we find Kc=0.22167±0.00002, consistent with the high temperature series but with larger error bars. We discuss the reasons for the larger error bars on the low temperature side and compare these values with estimates from other series analyses and from simulations.

Sign in / Sign up

Export Citation Format

Share Document