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

scholarly journals PHASE TRANSITION AND FRAGMENT PRODUCTION IN THE LATTICE GAS MODEL

1999 ◽  
Vol 08 (06) ◽  
pp. 527-544 ◽  
Author(s):  
FRANCESCA GULMINELLI ◽  
PHILIPPE CHOMAZ
Keyword(s):  
Phase Transition ◽  
Gas Phase ◽  
Lattice Gas ◽  
Canonical Ensemble ◽  
Finite Size ◽  
Direct Calculation ◽  
Lattice Gas Model ◽  
Finite Size Scaling ◽  
Finite Size Effects ◽  
Fragment Production

The critical behavior of fragment production is studied within a Lattice Gas Model in the canonical ensemble. Finite size effects on the liquid-gas phase transition are analyzed by a direct calculation of the partition function, and it is shown that phase coexistence and phase transition are relevant concepts even for systems of a few tens of particles. Critical exponents are extracted from the behavior of the fragment production yield as a function of temperature by means of a finite size scaling. The result is that in a finite system well defined critical signals can be found at supercritical (Kertész line) as well as subcritical densities inside the coexistence zone.

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 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
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