scholarly journals Finite-size scaling properties of random transverse-field Ising chains: Comparison between canonical and microcanonical ensembles for the disorder

2004 ◽  
Vol 69 (5) ◽  
Author(s):  
Cécile Monthus
Keyword(s):  
Finite Size ◽  
Transverse Field ◽  
Finite Size Scaling ◽  
Scaling Properties ◽  
Size Scaling

scholarly journals ANISOTROPIC FINITE-SIZE SCALING ANALYSIS OF A THREE-DIMENSIONAL DRIVEN-DIFFUSIVE SYSTEM

1999 ◽  
Vol 10 (05) ◽  
pp. 853-873 ◽  
Author(s):  
KWAN-TAI LEUNG ◽  
JIAN-SHENG WANG
Keyword(s):  
Strong Field ◽  
Three Dimensional ◽  
Finite Size ◽  
Numerical Data ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Scaling Properties ◽  
Size Scaling ◽  
Driven Diffusive System ◽  
Diffusive System

We study the standard three-dimensional driven diffusive system on a simple cubic lattice where particle jumping along a given lattice direction are biased by an infinitely strong field, while those along other directions follow the usual Kawasaki dynamics. Our goal is to determine which of the several existing theories for critical behavior is valid. We analyze finite-size scaling properties using a range of system shapes and sizes far exceeding previous studies. Four different analytic predictions are tested against the numerical data. Binder and Wang's prediction does not fit the data well. Among the two slightly different versions of Leung, the one including the effects of a dangerous irrelevant variable appears to be better. Recently proposed isotropic finite-size scaling is inconsistent with our data from cubic systems, where systematic deviations are found, especially in scaling at the critical temperature.

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