scholarly journals On the existence of a third-order phase transition beyond the Andrews critical point: A molecular dynamics study

2011 ◽  
Vol 135 (22) ◽  
pp. 224506 ◽  
Author(s):  
Han Wang ◽  
Luigi Delle Site ◽  
Pingwen Zhang
Keyword(s):  
Phase Transition ◽  
Molecular Dynamics ◽  
Critical Point ◽  
Order Phase Transition ◽  
Third Order

THE ISOSPIN DEPENDENCE OF THE NUCLEAR PHASE TRANSITION NEAR THE CRITICAL POINT

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1570-1576
Author(s):  
Z. CHEN ◽  
R. WADA ◽  
A. BONASERA ◽  
T. KEUTGEN ◽  
K. HAGEL ◽  
...  
Keyword(s):  
Phase Transition ◽  
Molecular Dynamics ◽  
Free Energy ◽  
Phase Transitions ◽  
Critical Point ◽  
Critical Phenomena ◽  
Critical Points ◽  
Liquid Mixtures ◽  
Nuclear Phase ◽  
Isospin Dependence

The experimental results reveal the isospin dependence of the nuclear phase transition in terms of the Landau Free Energy description of critical phenomena. Near the critical point, different ratios of the neutron to proton concentrations lead to different critical points for the phase transition which is analogous to the phase transitions in He 4- He 3 liquid mixtures. The antisymmetrized molecular dynamics (AMD) and GEMINI models calculations were also performed and the results will be discussed as well.

scholarly journals LARGE-N LIMIT OF NONLOCAL 2D GENERALIZED YANG–MILLS THEORIES ON NON-ORIENTABLE SURFACE

2004 ◽  
Vol 19 (13) ◽  
pp. 2123-2130
Author(s):  
Kh. SAAIDI
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Klein Bottle ◽  
Group Behavior ◽  
Orientable Surface ◽  
Third Order ◽  
Yang Mills ◽  
Large N ◽  
Text Model ◽  
Orientable Surfaces

The large-group behavior of the nonlocal two-dimensional generalized Yang–Mills theories ( nlgYM 2's) on arbitrary closed non-orientable surfaces is investigated. It is shown that all order of ϕ2k model of these theories has third order phase transition only on the projective plane (RP2). Also the phase structure of [Formula: see text] model of nlgYM 2 is studied and it is found that for γ>0, this model has third order phase transition only on RP 2. For γ<0, it has third order phase transition on any closed non-orientable surfaces except RP 2 and Klein bottle.

scholarly journals Big Bang as a Critical Point

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Jakub Mielczarek
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Quantum Gravity ◽  
Critical Point ◽  
Order Phase Transition ◽  
Big Bang ◽  
Second Order ◽  
Extended Phase ◽  
Causal Dynamical Triangulations ◽  
Second Order Phase Transition

This article addresses the issue of possible gravitational phase transitions in the early universe. We suggest that a second-order phase transition observed in the Causal Dynamical Triangulations approach to quantum gravity may have a cosmological relevance. The phase transition interpolates between a nongeometric crumpled phase of gravity and an extended phase with classical properties. Transition of this kind has been postulated earlier in the context of geometrogenesis in the Quantum Graphity approach to quantum gravity. We show that critical behavior may also be associated with a signature change in Loop Quantum Cosmology, which occurs as a result of quantum deformation of the hypersurface deformation algebra. In the considered cases, classical space-time originates at the critical point associated with a second-order phase transition. Relation between the gravitational phase transitions and the corresponding change of symmetry is underlined.

scholarly journals Generalized Ehrenfest's equations and phase transition in black holes

2015 ◽  
Vol 24 (03) ◽  
pp. 1550029 ◽  
Author(s):  
Mohammad Bagher Jahani Poshteh ◽  
Behrouz Mirza ◽  
Fatemeh Oboudiat
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Critical Point ◽  
Order Phase Transition ◽  
Arbitrary Number ◽  
Degrees Of Freedom ◽  
Second Order ◽  
First Law Of Thermodynamics ◽  
Three Degrees Of Freedom ◽  
Second Order Phase Transition

In this paper, we generalize Ehrenfest's equations to systems having two work terms, i.e. systems with three degrees of freedom. For black holes with two work terms we obtain nine equations instead of two to be satisfied at the critical point of a second-order phase transition. We finally generalize this method to a system with an arbitrary number of degrees of freedom and found there is [Formula: see text] equations to be satisfied at the point of a second-order phase transition where N is number of work terms in the first law of thermodynamics.

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