Universal functions in finite-size scaling: a numerical study in the Ising and Potts q=3 universality class

1987 ◽  
Vol 20 (7) ◽  
pp. 1819-1827 ◽  
Author(s):  
J -M Debierre ◽  
L Turban
Keyword(s):  
Numerical Study ◽  
Finite Size ◽  
Universality Class ◽  
Finite Size Scaling ◽  
Universal Functions ◽  
Size Scaling

scholarly journals FINITE SIZE SCALING AND RUNNING COUPLING CONSTANT IN CPN-1 MODELS

1998 ◽  
Vol 13 (06) ◽  
pp. 887-901
Author(s):  
EMANUELE MANFREDINI
Keyword(s):  
Correlation Length ◽  
Numerical Study ◽  
Finite Size ◽  
Perturbative Expansion ◽  
Finite Size Scaling ◽  
Coupling Constant ◽  
Size Scaling ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Conceptual Problems

In this work I present a numerical study of the Finite Size Scaling (FSS) of a correlation length in the framework of the CPN-1 model by means of the 1/N expansion. This study has been thought as preparatory to the application of FSS to the measure on the lattice of a new coupling constant fx(1/R), defined in terms or rectangular Wilson loops. I give also a perturbative expansion of fx(1/R) in powers of the corresponding coupling constant in the [Formula: see text] scheme together with some preliminary numerical results obtained from the Polyakov ratio and I point out the conceptual problems that limit this approach.

Finite size scaling and universality class in ultrathin films

2004 ◽  
Vol 270 (1-2) ◽  
pp. 119-123 ◽  
Author(s):  
M.S. Amazonas ◽  
J. Cabral Neto ◽  
J. Ricardo de Sousa
Keyword(s):  
Ultrathin Films ◽  
Finite Size ◽  
Universality Class ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Scaling And Universality

scholarly journals The crossover from first to second-order finite-size scaling: a numerical study

1994 ◽  
Vol 4 (7) ◽  
pp. 1027-1048 ◽  
Author(s):  
Christian Borgs ◽  
P. E.L. Rakow ◽  
Stefan Kappler
Keyword(s):  
Numerical Study ◽  
Finite Size ◽  
Second Order ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals NUMERICAL STUDY OF FINITE SIZE SCALING FOR FIRST ORDER PHASE TRANSITIONS

1992 ◽  
Vol 03 (05) ◽  
pp. 913-919 ◽  
Author(s):  
ALAIN BILLOIRE
Keyword(s):  
Phase Transitions ◽  
Transition Region ◽  
Numerical Study ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Potts Models ◽  
First Order ◽  
Size Scaling ◽  
First Order Phase

I present reaults of simulations of the q=10 and q=20 2-d Potts models in the transition region. The asymptotic finite size behavior sets in only for extremely large lattices. We learn from this simulation that finite size scaling cannot be used to decide that a transition is first order.

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