scholarly journals Finite-size scaling phenomenon of nuclear liquid-gas phase transition probes

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
H. L. Liu ◽  
Y. G. Ma ◽  
D. Q. Fang
Keyword(s):  
Phase Transition ◽  
Gas Phase ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Scaling Phenomenon

Phase Transitions, Critical Phenomena, and Finite-Size Scaling

2019 ◽  
pp. 111-176
Author(s):  
Hans-Peter Eckle
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Critical Phenomena ◽  
Quantum Phase Transitions ◽  
Finite Size ◽  
System Size ◽  
Thermal Fluctuations ◽  
Finite Size Scaling ◽  
Size Scaling

Interacting many-particle systems may undergo phase transitions and exhibit critical phenomena in the limit of infinite system size, while the precursors of these phenomena are studied in the theory of finite-size scaling. After surveying the basic notions of phases, phase diagrams, and phase transitions, this chapter focuses on critical behaviour at a second-order phase transition. The Landau-Ginzburg theory and the concept of scaling prepare readers for an elementary introduction to the concepts of the renormalization group, followed by an introduction into the field of quantum phase transitions where quantum fluctuations take over the role of thermal fluctuations.

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.

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