scholarly journals Low-temperature specific heat of one-dimensional multicomponent systems at the commensurate-incommensurate phase transition point

2009 ◽  
Vol 80 (20) ◽  
Author(s):  
T. Vekua
1981 ◽  
Vol 46 (18) ◽  
pp. 1213-1216 ◽  
Author(s):  
H. v. Löhneysen ◽  
H. J. Schink ◽  
W. Arnold ◽  
H. U. Beyeler ◽  
L. Pietronero ◽  
...  

1998 ◽  
Vol 58 (18) ◽  
pp. 12095-12099 ◽  
Author(s):  
K. Umeo ◽  
T. Takabatake ◽  
H. Ohmoto ◽  
T. Pietrus ◽  
H. v. Löhneysen ◽  
...  

2014 ◽  
Vol 23 (04) ◽  
pp. 1450040
Author(s):  
JIE-XIONG MO

In this paper, we investigate the phase transition of Bardeen black hole for the first time. First, we calculate thermodynamic quantities and correct the misuse of formula in former literature. Second, we investigate in detail the behavior of specific heat. We not only discuss the influence of parameter on phase transition, but also show the three-dimensional behavior of the specific heat. It is shown that phase transition takes place from a locally unstable large black hole to a locally stable small black hole. It is also shown that the location of phase transition point is proportional to the charge. Meanwhile, we study the behavior of the inverse of the isothermal compressibility and find that it diverges at the phase transition point. Thirdly, we build up geometrothermodynamics to examine the phase transition structure. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges, which leads to the conclusion that the Legendre invariant metrics can correctly produce the behavior of the phase transition structure. Furthermore, to gain a thorough understanding of critical behavior, we calculate the relevant critical exponents and examine the scaling laws. It is shown that they are in agreement with the scaling laws.


1981 ◽  
Vol 42 (C6) ◽  
pp. C6-193-C6-195
Author(s):  
H.v. Löhneysen ◽  
H. J. Schink ◽  
W. Arnold ◽  
H. U. Beyeler ◽  
L. Pietronero ◽  
...  

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