scholarly journals Bulk viscosity and the phase transition of the linear sigma model

2012 ◽  
Vol 86 (7) ◽  
Author(s):  
Antonio Dobado ◽  
Juan M. Torres-Rincon
Keyword(s):  
Phase Transition ◽  
Bulk Viscosity ◽  
Sigma Model ◽  
Linear Sigma Model

PHASE TRANSITION PATTERNS OF NUCLEAR MATTER BASED ON EXTENDED LINEAR SIGMA MODEL

2013 ◽  
Vol 22 (11) ◽  
pp. 1350077 ◽  
Author(s):  
TRAN HUU PHAT ◽  
NGUYEN TUAN ANH ◽  
PHUNG THI THU HA
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Nuclear Matter ◽  
Degrees Of Freedom ◽  
Sigma Model ◽  
Chemical Potential ◽  
Linear Sigma Model ◽  
Baryon Chemical Potential ◽  
Chiral Phase ◽  
The Relationship

We study systematically various types of phase transitions in nuclear matter at finite temperature T and baryon chemical potential μ based on the extended linear sigma model with nucleon degrees of freedom. It is shown that there are three types of phase transitions in nuclear matter: the chiral symmetry nonrestoration (SNR) at high temperature, the well-known liquid–gas (LG) phase transition at sub-saturation density and the Lifshitz phase transition (LPT) from the fully-gapped state to the state with Fermi surface. Their phase diagrams are established in the (T, μ)-plane and their physical properties are investigated in detail. The relationship between the chiral phase transition and the LG phase transition in nuclear matter is discussed.

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.

scholarly journals Minimum ofη/sand the phase transition of the linear sigma model in the large-Nlimit

2009 ◽  
Vol 80 (11) ◽  
Author(s):  
Antonio Dobado ◽  
Felipe J. Llanes-Estrada ◽  
Juan M. Torres-Rincon
Keyword(s):  
Phase Transition ◽  
Sigma Model ◽  
Linear Sigma Model

scholarly journals On the chiral phase transition in the linear sigma model

2004 ◽  
Vol 19 (3) ◽  
pp. 359-365 ◽  
Author(s):  
Tran Huu Phat ◽  
Nguyen Tuan Anh ◽  
Le Viet Hoa
Keyword(s):  
Phase Transition ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Chiral Phase ◽  
Chiral Phase Transition
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