scholarly journals Topology and phase transitions: From an exactly solvable model to a relation between topology and thermodynamics

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
Luca Angelani ◽  
Lapo Casetti ◽  
Marco Pettini ◽  
Giancarlo Ruocco ◽  
Francesco Zamponi
2019 ◽  
Vol 204 ◽  
pp. 03001 ◽  
Author(s):  
K. A. Bugaev ◽  
A. I. Ivanytskyi ◽  
V. V. Sagun ◽  
B. E. Grinyuk ◽  
D. O. Savchenko ◽  
...  

The chemical freeze-out irregularities found with the most advanced hadron resonance gas model and possible signals of two QCD phase transitions are discussed. We have found that the center-of-mass collision energy range of tricritical endpoint of QCD phase diagram is [9; 9.2] GeV which is consistent both with the QCD inspired exactly solvable model and experimental findings.


1986 ◽  
Vol 119 (2) ◽  
pp. 55-59 ◽  
Author(s):  
Yu.M. Ivanchenko ◽  
A.A. Lisyanskii ◽  
A.E. Filippov

1990 ◽  
Vol 65 (20) ◽  
pp. 2551-2554 ◽  
Author(s):  
Robert B. Griffiths ◽  
H. J. Schellnhuber ◽  
H. Urbschat

1990 ◽  
Vol 23 (1) ◽  
pp. 91-97 ◽  
Author(s):  
Yu M Ivanchenko ◽  
A A Lisyanskii ◽  
A E Filippov

2010 ◽  
Vol 24 (25n26) ◽  
pp. 5027-5036
Author(s):  
M. K. G. KRUSE ◽  
H. G. MILLER ◽  
A. PLASTINO ◽  
A. R. PLASTINO

We show that, by recourse to thermodynamics's third law, quantum phase transitions in a system of fermions can be detected, in the sense that thereby one automatically finds the values of the external parameter (here coupling strengths of the pertinent Hamiltonian) at which these transitions occur. We illustrate our considerations with reference to an exactly solvable model of Plastino and Moszkowski [Il Nuovo Cimento 47, 470 (1978)].


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