scholarly journals Finite-size scaling of the correlation length above the upper critical dimension in the five-dimensional Ising model

2005 ◽  
Vol 71 (17) ◽  
Author(s):  
Jeff L. Jones ◽  
A. P. Young
Keyword(s):  
Ising Model ◽  
Correlation Length ◽  
Finite Size ◽  
Critical Dimension ◽  
Finite Size Scaling ◽  
Upper Critical Dimension ◽  
Size Scaling

scholarly journals PERCOLATION AND FINITE SIZE SCALING IN SEVEN DIMENSIONS

2004 ◽  
Vol 15 (09) ◽  
pp. 1321-1325
Author(s):  
LOTFI ZEKRI
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Numerical Investigation ◽  
Critical Exponents ◽  
Finite Size ◽  
Critical Dimension ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Hypercubic Lattice

Numerical investigation of critical exponents on a hypercubic lattice with Ld random sites with L up to 33 and d up to 7 showed that above the critical dimension the phase transitions in Ising model and percolation are not alike.

FINITE-SIZE SCALING FOR THE SPHERICAL MODEL WITH LONG-RANGE INTERACTION

1995 ◽  
Vol 09 (18) ◽  
pp. 1117-1121
Author(s):  
K. NOJIMA
Keyword(s):  
Critical Temperature ◽  
Long Range ◽  
Finite Size ◽  
Spherical Model ◽  
Critical Dimension ◽  
Finite Size Scaling ◽  
Range Interaction ◽  
Upper Critical Dimension ◽  
Size Scaling ◽  
Long Range Interaction

The finite-size scaling property of the correlation length for the spherical model with long-range interaction is examined above the critical temperature. The analysis is performed below the upper critical dimension.

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