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

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.

1999 ◽  
Vol 470 (1-4) ◽  
pp. 13-19 ◽  
Author(s):  
J. Borg ◽  
I.N. Mishustin ◽  
J.P. Bondorf

1992 ◽  
Vol 03 (02) ◽  
pp. 367-383 ◽  
Author(s):  
KWAN-TAI LEUNG

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.


2021 ◽  
Author(s):  
Salah Cherif ◽  
Madjid Lakhdar Hamou Ladrem ◽  
Zainab Zaki Mohammed Alfull ◽  
Rana Meshal Alharbi ◽  
M. A. A. Ahmed

Soft Matter ◽  
2020 ◽  
Vol 16 (29) ◽  
pp. 6784-6793
Author(s):  
Sadjad Arzash ◽  
Jordan L. Shivers ◽  
Fred C. MacKintosh

When subjected to shear strain, underconstrained spring networks undergo a floppy to rigid phase transition. We study the finite-size scaling behavior of this mechanical transition.


1984 ◽  
Vol 29 (11) ◽  
pp. 6285-6294 ◽  
Author(s):  
P. A. Rikvold ◽  
K. Kaski ◽  
J. D. Gunton ◽  
M. C. Yalabik

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