Surface Ordering and Finite-size Effects at the First Order Phase Transition SmA-SmC in Liquid-crystalline Free-standing Films

1993 ◽  
Vol 97 (10) ◽  
pp. 1376-1380 ◽  
Author(s):  
I. Kraus ◽  
P. Pieranski ◽  
E. Demikhov ◽  
H. Stegemeyer ◽  
J. Goodby ◽  
...  
Keyword(s):  
Phase Transition ◽  
Size Effects ◽  
Liquid Crystalline ◽  
Finite Size ◽  
Free Standing ◽  
Finite Size Effects ◽  
First Order ◽  
Surface Ordering ◽  
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.

THE SPECTRUM OF THE $\mathcal{T}$-MATRIX AND THE SURFACE TENSION IN THE SU(3) GAUGE THEORY

1992 ◽  
Vol 03 (05) ◽  
pp. 947-960 ◽  
Author(s):  
T. TRAPPENBERG
Keyword(s):  
Phase Transition ◽  
Surface Tension ◽  
Gauge Theory ◽  
Finite Size ◽  
Temperature Phase ◽  
Finite Size Effects ◽  
First Order ◽  
First Order Phase Transition ◽  
Temperature Phase Transition ◽  
First Order Phase

The transfer matrix method to describe finite size effects due to tunneling are worked out for Z(2)- and Z(3)-symmetric models. We used this method to extract the surface tension σ in the SU(3) gauge theory at the finite temperature phase transition on lattices with an extent T=2 in the euclidean time direction. We also discuss if the confined phase completely wets the deconfined phase at this first order phase transition.

SPHALERONS AND THE ELECTROWEAK PHASE TRANSITION

1992 ◽  
Vol 03 (05) ◽  
pp. 783-797 ◽  
Author(s):  
JOCHEN KRIPFGANZ
Keyword(s):  
Phase Transition ◽  
Finite Size ◽  
Baryon Number ◽  
Short Review ◽  
Electroweak Phase Transition ◽  
Finite Size Effects ◽  
First Order ◽  
First Order Phase Transition ◽  
Baryon Number Violation ◽  
First Order Phase

In the first part of the talk, a short review of baryon number violation in the electroweak standard model is given. I concentrate on perturbative estimates for the electroweak phase transition. A strong first order phase transition could be relevant both for a possible generation of the baryon asymmetry of the universe, and the survival of this asymmetry afterwards. In the second part of the talk, some lattice results for the electroweak phase transition are presented. They tend to indicate a transition more strongly first order than predicted by perturbation theory. A definite condusion cannot be drawn, however, because of severe finite size effects.

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