Resource letter CPPPT-1: Critical point phenomena and phase transitions

2001 ◽  
Vol 69 (3) ◽  
pp. 255-263 ◽  
Author(s):  
Jan Tobochnik
Keyword(s):  
Phase Transitions ◽  
Critical Point ◽  
Critical Point Phenomena

Magnetostatic critical-point phenomena of Fe

1997 ◽  
Vol 82 (11) ◽  
pp. 5658-5661 ◽  
Author(s):  
Toshiro Tanaka ◽  
Kazuo Miyatani
Keyword(s):  
Critical Point ◽  
Critical Point Phenomena

scholarly journals INTERPLAY BETWEEN QUANTUM PHASE TRANSITIONS AND THE BEHAVIOR OF QUANTUM CORRELATIONS AT FINITE TEMPERATURES

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345032 ◽  
Author(s):  
T. WERLANG ◽  
G. A. P. RIBEIRO ◽  
GUSTAVO RIGOLIN
Keyword(s):  
Phase Transitions ◽  
Critical Point ◽  
Thermodynamic Limit ◽  
Quantum Discord ◽  
Quantum Phase Transitions ◽  
Quantum Correlations ◽  
Infinite Chain ◽  
Quantum Phase ◽  
Absolute Zero ◽  
Zero Temperature

We review the main results and ideas showing that quantum correlations at finite temperatures (T), in particular quantum discord, are useful tools in characterizing quantum phase transitions (QPT) that only occur, in principle, at the unattainable absolute zero temperature. We first review some interesting results about the behavior of thermal quantum discord for small spin-1/2 chains and show that they already give us important hints of the infinite chain behavior. We then study in detail and in the thermodynamic limit (infinite chains) the thermal quantum correlations for the XXZ and XY models, where one can clearly appreciate that the behavior of thermal quantum discord at finite T is a useful tool to spotlight the critical point of a QPT.

Mathematical models for phase transitions in biogels

2019 ◽  
Vol 33 (09) ◽  
pp. 1950111 ◽  
Author(s):  
Ayse Humeyra Bilge ◽  
Arif Selcuk Ogrenci ◽  
Onder Pekcan
Keyword(s):  
Phase Transitions ◽  
Critical Point ◽  
Transition Point ◽  
Extreme Values ◽  
Sol Gel ◽  
Epidemic Models ◽  
Gel Point ◽  
Sis Model ◽  
First Derivative ◽  
Sir Epidemic

It has been shown that reversible and irreversible phase transitions of biogels can be represented by epidemic models. The irreversible chemical sol–gel transitions are modeled by the Susceptible-Exposed-Infected-Removed (SEIR) or Susceptible-Infected-Removed (SIR) epidemic systems whereas reversible physical gels are modeled by a modification of the Susceptible-Infected-Susceptible (SIS) system. Measured sol–gel and gel–sol transition data have been fitted to the solutions of the epidemic models, either by solving the differential equations directly (SIR and SEIR models) or by nonlinear regression (SIS model). The gel point is represented as the “critical point of sigmoid,” defined as the limit point of the locations of the extreme values of its derivatives. Then, the parameters of the sigmoidal curve representing the gelation process are used to predict the gel point and its relative position with respect to the transition point, that is, the maximum of the first derivative with respect to time. For chemical gels, the gel point is always located before the maximum of the first derivative and moves backward in time as the strength of the activation increases. For physical gels, the critical point for the sol–gel transition occurs before the maximum of the first derivative with respect to time, that is, it is located at the right of this maximum with respect to temperature. For gel–sol transitions, the critical point is close to the transition point; the critical point occurs after the maximum of the first derivative for low concentrations whereas the critical point occurs after the maximum of the first derivative for higher concentrations.

Gas-liquid phase transitions and critical point in hot white dwarf matter

1973 ◽  
Vol 21 (2) ◽  
pp. 461-474 ◽  
Author(s):  
L. De Cesare ◽  
A. Forlani ◽  
G. Platania
Keyword(s):  
Phase Transitions ◽  
Liquid Phase ◽  
Critical Point ◽  
White Dwarf
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