scholarly journals The Surrounded Atom Theory of Order-disorder Phase Transition in Binary Alloys

2011 ◽  
Vol 21 (3) ◽  
pp. 265
Author(s):  
Do Chieu Ha ◽  
Nguyen Nhat Khanh

In this paper, the surrounded atom model is developed to study the order-disorder phase transition in binary alloys. We calculate the configurational free energy of the alloys, derive the equation of equilibrium and determine the critical temperature of the phase transition.

2021 ◽  
Vol 87 (6) ◽  
Author(s):  
Chjan C. Lim

An equilibrium statistical mechanics theory for the Hasegawa–Mima equations of toroidal plasmas, with canonical constraint on energy and microcanonical constraint on potential enstrophy, is solved exactly as a spherical model. The use of a canonical energy constraint instead of a fixed-energy microcanonical approach is justified by the preference for viewing real plasmas as an open system. A significant consequence of the results obtained from the partition function, free energy and critical temperature, is the condensation into a ground state exhibiting a blob-hole-like structure observed in real plasmas.


1999 ◽  
Vol 14 (05) ◽  
pp. 379-385 ◽  
Author(s):  
KARL LANDSTEINER

We compute the O(α′3) corrections to the AdS5 black hole metric in type IIB string theory. Contrary to previous work in this direction we keep the black hole radius finite. Thus the topology of the boundary is S3×S1. We find the corrections to the free energy and the critical temperature of the phase transition.


Author(s):  
Scott Tremaine

Abstract The supermassive black holes found at the centres of galaxies are often surrounded by dense star clusters. The ages of these clusters are generally longer than the resonant-relaxation time and shorter than the two-body relaxation time over a wide range of radii. We explore the thermodynamic equilibria of such clusters using a simple self-similar model. We find that the cluster exhibits a phase transition between a high-temperature spherical equilibrium and a low-temperature equilibrium in which the stars are on high-eccentricity orbits with nearly the same orientation. In the absence of relativistic precession, the spherical equilibrium is metastable below the critical temperature and the phase transition is first-order. When relativistic effects are important, the spherical equilibrium is linearly unstable below the critical temperature and the phase transition is continuous. A similar phase transition has recently been found in a model cluster composed of stars with a single semimajor axis. The presence of the same phenomenon in two quite different cluster models suggests that lopsided equilibria may form naturally in a wide variety of black-hole star clusters.


1988 ◽  
Vol 49 (C6) ◽  
pp. C6-269-C6-273 ◽  
Author(s):  
H. Q. NGUYEN ◽  
Y. KUK ◽  
P. J. SILVERMAN

1998 ◽  
Vol 12 (29n31) ◽  
pp. 3216-3219 ◽  
Author(s):  
M. Ausloos ◽  
S. Dorbolo

A logarithmic behavior is hidden in the linear temperature regime of the electrical resistivity R(T) of some YBCO sample below 2T c where "pairs" break apart, fluctuations occur and "a gap is opening". An anomalous effect also occurs near 200 K in the normal state Hall coefficient. In a simulation of oxygen diffusion in planar 123 YBCO, an anomalous behavior is found in the oxygen-vacancy motion near such a temperature. We claim that the behavior of the specific heat above and near the critical temperature should be reexamined in order to show the influence and implications of fluctuations and dimensionality on the nature of the phase transition and on the true onset temperature.


1993 ◽  
Vol 87 (12) ◽  
pp. 1151-1154 ◽  
Author(s):  
H.M. Lu ◽  
R. Qi ◽  
J.R. Hardy

1983 ◽  
Vol 120 (2) ◽  
pp. 547-554 ◽  
Author(s):  
A. Brau ◽  
J. P. Farges ◽  
A. Filhol ◽  
H. Grassi

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