scholarly journals Finite-size effects on the hadron-quark phase transition in neutron stars

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
X. H. Wu ◽  
H. Shen

2016 ◽  
Vol 665 ◽  
pp. 012068 ◽  
Author(s):  
N Yasutake ◽  
H Chen ◽  
T Maruyama ◽  
T Tatsumi




1986 ◽  
Vol 34 (3) ◽  
pp. 2045-2048 ◽  
Author(s):  
Surjit Singh ◽  
R. K. Pathria


2016 ◽  
Vol 30 (30) ◽  
pp. 1650207 ◽  
Author(s):  
R. Acosta Diaz ◽  
N. F. Svaiter

We discuss finite-size effects in one disordered [Formula: see text] model defined in a [Formula: see text]-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a quenched random field. In order to obtain the average value of the free energy of the system, we use the replica method. We first discuss finite-size effects in the one-loop approximation in [Formula: see text] and [Formula: see text]. We show that in both cases, there is a critical length where the system develop a second-order phase transition, when the system presents long-range correlations with power-law decay. Next, we improve the above result studying the gap equation for the size-dependent squared mass, using the composite field operator method. We obtain again that the system present a second-order phase transition with long-range correlation with power-law decay.









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