Monte Carlo study of finite-size effects at a weakly first-order phase transition

1989 ◽  
Vol 39 (16) ◽  
pp. 11932-11942 ◽  
Author(s):  
P. Peczak ◽  
D. P. Landau
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Order Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Monte Carlo Study ◽  
Finite Size Effects ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

Finite-size effects of linear sigma model in compactified space–time

2014 ◽  
Vol 29 (15) ◽  
pp. 1450078 ◽  
Author(s):  
Tran Huu Phat ◽  
Nguyen Van Thu
Keyword(s):  
Phase Transition ◽  
Sigma Model ◽  
Finite Size ◽  
Casimir Energy ◽  
Linear Sigma Model ◽  
Finite Size Effects ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Compactified Space

The finite-sized effect caused by compactified space–time is scrutinized by means of the linear sigma model with constituent quarks at finite temperature T and chemical potential μ, where the compactified spatial dimension with length L is taken along the Oz direction. We find several finite-size effects associated with compactified length L: (a) There are two types of Casimir energy corresponding to two types of quarks, untwisted and twisted quarks. (b) For untwisted quarks, a first-order phase transition emerges at intermediate values of L when the Casimir effect is not taken into account and is enhanced by Casimir energy at small L. (c) For twisted quarks, the phase transition is cross-over everywhere when μ≤200 MeV . When μ> 200 MeV there occurs a first-order phase transition at large L and becomes cross-over at smaller L.

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