Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics
From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature T and baryon chemical potential μB in the framework of the linear sigma model. The corresponding nonextensive distribution, based on Tsallis’ statistics, is characterized by a dimensionless...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4135329 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551918132527104 |
|---|---|
| author | Ke-Ming Shen Hui Zhang De-Fu Hou Ben-Wei Zhang En-Ke Wang |
| author_facet | Ke-Ming Shen Hui Zhang De-Fu Hou Ben-Wei Zhang En-Ke Wang |
| author_sort | Ke-Ming Shen |
| collection | DOAJ |
| description | From the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature T and baryon chemical potential μB in the framework of the linear sigma model. The corresponding nonextensive distribution, based on Tsallis’ statistics, is characterized by a dimensionless nonextensive parameter, q, and the results in the usual Boltzmann-Gibbs case are recovered when q→1. The thermodynamics of the linear sigma model and its corresponding phase diagram are analysed. At high temperature region, the critical temperature Tc is shown to decrease with increasing q from the phase diagram in the (T,μ) plane. However, larger values of q cause the rise of Tc at low temperature but high chemical potential. Moreover, it is found that μ different from zero corresponds to a first-order phase transition while μ=0 to a crossover one. The critical endpoint (CEP) carries higher chemical potential but lower temperature with q increasing due to the nonextensive effects. |
| format | Article |
| id | doaj-art-f603092c12e4424886bfd7081ca7dd24 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-f603092c12e4424886bfd7081ca7dd242025-02-03T06:00:17ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/41353294135329Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical MechanicsKe-Ming Shen0Hui Zhang1De-Fu Hou2Ben-Wei Zhang3En-Ke Wang4Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, ChinaKey Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, ChinaKey Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, ChinaKey Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, ChinaKey Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, ChinaFrom the nonextensive statistical mechanics, we investigate the chiral phase transition at finite temperature T and baryon chemical potential μB in the framework of the linear sigma model. The corresponding nonextensive distribution, based on Tsallis’ statistics, is characterized by a dimensionless nonextensive parameter, q, and the results in the usual Boltzmann-Gibbs case are recovered when q→1. The thermodynamics of the linear sigma model and its corresponding phase diagram are analysed. At high temperature region, the critical temperature Tc is shown to decrease with increasing q from the phase diagram in the (T,μ) plane. However, larger values of q cause the rise of Tc at low temperature but high chemical potential. Moreover, it is found that μ different from zero corresponds to a first-order phase transition while μ=0 to a crossover one. The critical endpoint (CEP) carries higher chemical potential but lower temperature with q increasing due to the nonextensive effects.http://dx.doi.org/10.1155/2017/4135329 |
| spellingShingle | Ke-Ming Shen Hui Zhang De-Fu Hou Ben-Wei Zhang En-Ke Wang Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics Advances in High Energy Physics |
| title | Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics |
| title_full | Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics |
| title_fullStr | Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics |
| title_full_unstemmed | Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics |
| title_short | Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics |
| title_sort | chiral phase transition in linear sigma model with nonextensive statistical mechanics |
| url | http://dx.doi.org/10.1155/2017/4135329 |
| work_keys_str_mv | AT kemingshen chiralphasetransitioninlinearsigmamodelwithnonextensivestatisticalmechanics AT huizhang chiralphasetransitioninlinearsigmamodelwithnonextensivestatisticalmechanics AT defuhou chiralphasetransitioninlinearsigmamodelwithnonextensivestatisticalmechanics AT benweizhang chiralphasetransitioninlinearsigmamodelwithnonextensivestatisticalmechanics AT enkewang chiralphasetransitioninlinearsigmamodelwithnonextensivestatisticalmechanics |