Determination of multicritcal points for lattice-gas models by finite-size scaling of the susceptibility

1985 ◽  
Vol 32 (7) ◽  
pp. 4756-4759 ◽  
Author(s):  
Per Arne Rikvold
Keyword(s):  
Lattice Gas ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Lattice Gas Models

FINITE-SIZE SCALING AT CRITICAL POINTS WITH SPATIAL ANISOTROPIES

1992 ◽  
Vol 03 (02) ◽  
pp. 367-383 ◽  
Author(s):  
KWAN-TAI LEUNG
Keyword(s):  
Size Effects ◽  
Lattice Gas ◽  
Finite Size ◽  
Nonequilibrium Systems ◽  
Finite Size Scaling ◽  
Nonequilibrium Phase Transition ◽  
Finite Size Effects ◽  
Correlation Lengths ◽  
Size Scaling ◽  
Recent Developments

We report some selected recent developments in the finite-size scaling theory of critical phenomena occurring in systems with strong spatial anisotropies. Such systems are characterized by correlation lengths divergent with different exponents (ν⊥, ν||) along different directions. Attention is focused on the driven diffusive lattice gas that exhibits a second order nonequilibrium phase transition. We present in detail the phenomenology and its comparison with computer simulation. Novel features of finite-size effects in anisotropic nonequilibrium systems are emphasized.

scholarly journals An analysis of systematic effects in finite size scaling studies using the gradient flow

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Alessandro Nada ◽  
Alberto Ramos
Keyword(s):  
Gauge Theory ◽  
Finite Size ◽  
Gradient Flow ◽  
Flow Time ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Pure Gauge ◽  
Pure Gauge Theory ◽  
Systematic Effects

AbstractWe propose a new strategy for the determination of the step scaling function $$\sigma (u)$$ σ ( u ) in finite size scaling studies using the gradient flow. In this approach the determination of $$\sigma (u)$$ σ ( u ) is broken in two pieces: a change of the flow time at fixed physical size, and a change of the size of the system at fixed flow time. Using both perturbative arguments and a set of simulations in the pure gauge theory we show that this approach leads to a better control over the continuum extrapolations. Following this new proposal we determine the running coupling at high energies in the pure gauge theory and re-examine the determination of the $$\Lambda $$ Λ -parameter, with special care on the perturbative truncation uncertainties.

scholarly journals Finite-Size Scaling in the Driven Lattice Gas

2004 ◽  
Vol 115 (1/2) ◽  
pp. 281-322 ◽  
Author(s):  
Sergio Caracciolo ◽  
Andrea Gambassi ◽  
Massimiliano Gubinelli ◽  
Andrea Pelissetto
Keyword(s):  
Lattice Gas ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Driven Lattice Gas

Finite-size scaling study of a lattice-gas model for oxygen chemisorbed on tungsten

1984 ◽  
Vol 29 (11) ◽  
pp. 6285-6294 ◽  
Author(s):  
P. A. Rikvold ◽  
K. Kaski ◽  
J. D. Gunton ◽  
M. C. Yalabik
Keyword(s):  
Lattice Gas ◽  
Finite Size ◽  
Lattice Gas Model ◽  
Finite Size Scaling ◽  
Size Scaling
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