scholarly journals Analogy between Thermodynamic Phase Transitions and Creeping Flows in Rectangular Cavities

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1859
Author(s):  
Miron Kaufman ◽  
Petru S. Fodor
Keyword(s):  
Phase Transitions ◽  
Fixed Points ◽  
Critical Points ◽  
Moving Wall ◽  
Slip Boundary ◽  
Analytical Work ◽  
Creeping Flows ◽  
First Order Transition ◽  
Thermodynamic Phase ◽  
Fluid Flow Modeling

An analogy is found between the streamline function corresponding to Stokes flows in rectangular cavities and the thermodynamics of phase transitions and critical points. In a rectangular cavity flow, with no-slip boundary conditions at the walls, the corners are fixed points. The corners defined by a stationary and a moving wall, are found to be analogous to a thermodynamic first-order transition point. In contrast, the corners defined by two stationary walls correspond to thermodynamic critical points. Here, flow structures, also known as Moffatt eddies, form and act as stagnation regions where mixing is impeded. A third stationary point occurs in the middle region of the channel and it is analogous to a high temperature thermodynamic fixed point. The numerical results of the fluid flow modeling are correlated with analytical work in the proximity of the fixed points.

Implications of new phase transitions approach onto specific black holes

2020 ◽  
Vol 35 (39) ◽  
pp. 2050326
Author(s):  
Abdul Jawad ◽  
Shahid Chaudhary
Keyword(s):  
Black Holes ◽  
Phase Transitions ◽  
Critical Points ◽  
Theoretical Physics ◽  
Open Questions ◽  
Standard Relation ◽  
Classical Gravity ◽  
Quantum Interpretation ◽  
Thermodynamic Phase ◽  
New Phase

Among many open questions in theoretical physics, consistent quantum gravity theory is still a major issue to be solved. Recent major works in phase transitions of black holes (BH) can be helpful for quantum interpretation of classical gravity. We study the new effective method to discuss the thermodynamic phase transitions onto well renowned regular BHs. Ordinary approaches of phase transitions depend upon equation of state and it is impossible to obtain all critical points with ordinary approaches. This study is derived from the slope of temperature versus entropy and it provides the possibility of finding all the critical points analytically. This technique provides pressure, which is different from standard relation of pressure and independent of other thermodynamical relations. We discuss some issues in ordinary methods and provide an easy approach to investigate the critical behavior of thermodynamical quantities. We find out the phase transitions points and horizon radii of non-physical range for BHs. We also use the new thermodynamical relations to briefly study well-known Joule–Thomson (JT) effect on regular BH.

Some features of phase transitions in solutions with two critical points

1996 ◽  
Vol 166 (6) ◽  
pp. 683-685 ◽  
Author(s):  
K.V. Kovalenko ◽  
S.V. Krivokhizha ◽  
Immanuil L. Fabelinskii ◽  
L.L. Chaikov
Keyword(s):  
Phase Transitions ◽  
Critical Points

Magnetic Phase Transitions and Magnetocaloric Properties of Gd5Si0.4In3.6 Compound

2013 ◽  
Vol 320 ◽  
pp. 67-71
Author(s):  
Chao Jing ◽  
X.L. Wang ◽  
D.H. Yu ◽  
Y.J. Yang ◽  
B.J. Kang ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Magnetic Entropy Change ◽  
Magnetic Phase ◽  
Entropy Change ◽  
Ferromagnetic State ◽  
Order Transition ◽  
Magnetic Phase Transitions ◽  
Magnetocaloric Properties ◽  
Second Order Transition ◽  
First Order Transition

The magnetic phase transitions and magnetocaloric properties of Gd5Si0.4In3.6 compound have been investigated. Magnetothermal measurements performed at different conditions reveal that the sample undergoes two magnetic phase transitions. One is a second-order transition from paramagnetic to ferromagnetic state at about 197 K, the other is a first-order transition when the temperature is reduced to 75 K. The magnetocaloric effect around Curie temperature (TC) was calculated in terms of isothermal magnetic entropy change by using Maxwells equation,which remains over a quite wide temperature span of 70 K between the temperature region from160 to 240 K, and thus makes this material attractive for magnetic refrigerator applications.

Acceleration Algorithms in Monte Carlo Simulations in Statistical Physics

1991 ◽  
Vol 02 (01) ◽  
pp. 201-208
Author(s):  
ROBERT H. SWENDSEN
Keyword(s):  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Simulations ◽  
Statistical Physics ◽  
Relaxation Times ◽  
Critical Slowing Down ◽  
Cluster Approach ◽  
New Developments ◽  
Slowing Down ◽  
Thermodynamic Phase

Monte Carlo simulations of thermodynamic phase transitions are usually hampered by long relaxation times due to the phenomenon of “critical slowing down.” Using a mapping due to Fortuin and Kasteleyn, a cluster approach to Monte Carlo simulations has been developed, which greatly reduces relaxation times, improving efficiency by up to two or three orders of magnitude. New developments and extensions of this approach are also discussed.

Dielectric Spectroscopy of (bis)Thiourea Pyridinium Bromide

2004 ◽  
Vol 59 (11) ◽  
pp. 857-860 ◽  
Author(s):  
A. Marczak ◽  
P. Czarnecki ◽  
S. Mielcarek
Keyword(s):  
Phase Transitions ◽  
Dielectric Spectroscopy ◽  
Solid Phase ◽  
Ion Dynamics ◽  
Pyridinium Bromide ◽  
First Order ◽  
New Information ◽  
First Order Transition ◽  
Dsc Method ◽  
Disorder Type

Policrystalline (bis)thiourea pyridinium bromide has been studied with dielectric spectroscopy and DSC method. New information about phase transitions in (bis)thiourea pyridinium bromide has been obtained and discussed. Two solid-solid phase transitions (at T2 = 150 K - first order transition of order-disorder type, and T1 = 180 K - second order) have been revealed. A change of the ion dynamics is observed at T2

Shear-induced structural and thermodynamic phase transitions in micellar systems

2017 ◽  
Vol 40 (2) ◽  
Author(s):  
Angelina Martín del Campo ◽  
J. Paulo García-Sandoval ◽  
J. F. Armando Soltero ◽  
Fernando Bautista ◽  
Octavio Manero ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Micellar Systems ◽  
Thermodynamic Phase

MAGNETIC PHASE TRANSITIONS IN Ce(Fe1–xCox)2 SYSTEM

1993 ◽  
Vol 07 (01n03) ◽  
pp. 822-825 ◽  
Author(s):  
NAUSHAD ALI ◽  
XIANFENG ZHANG
Keyword(s):  
Phase Transitions ◽  
Magnetic Phase ◽  
Ac Susceptibility ◽  
Magnetic Phase Diagram ◽  
Ferromagnetic State ◽  
Magnetic Phase Transitions ◽  
Itinerant Electron ◽  
Electron Systems ◽  
First Order ◽  
First Order Transition

Re-entrant magnetic phase transitions in Ce(Fe1–xMx)2 systems (where M=Al, Ru, Co, etc.) are being investigated by various research groups. It has been observed that the system goes from a paramagnetic to ferromagnetic state followed by an almost complete loss of magnetization as the temperature is lowered. We have done systematic experimental measurements of magnetization, ac susceptibility, electrical resistivity, and thermal expansion on the Ce(Fe1–xCox)2 system. It is found that as the temperature is decreased, the system goes from para- to ferro- to antiferro-magnetic phase. The ferro- to antiferro-magnetic phase transition is a first order transition. Our experimental results are consistent with the magnetic phase diagram predictions by Moriya and Usami's theory of strongly interacting itinerant electron systems.

scholarly journals CUMULATIVE MEASURE OF CORRELATION FOR MULTIPARTITE QUANTUM STATES

2014 ◽  
Vol 28 (07) ◽  
pp. 1450050 ◽  
Author(s):  
ANDRÉ L. FONSECA DE OLIVEIRA ◽  
EFRAIN BUKSMAN ◽  
JESÚS GARCÍA LÓPEZ DE LACALLE
Keyword(s):  
Phase Transitions ◽  
State Space ◽  
Present Article ◽  
Critical Points ◽  
Quantum Phase Transitions ◽  
The State ◽  
Quantum States ◽  
Quantum Phase ◽  
Mixed States ◽  
Different Dimensions

The present article proposes a measure of correlation for multiqubit mixed states. The measure is defined recursively, accumulating the correlation of the subspaces, making it simple to calculate without the use of regression. Unlike usual measures, the proposed measure is continuous additive and reflects the dimensionality of the state space, allowing to compare states with different dimensions. Examples show that the measure can signal critical points (CPs) in the analysis of Quantum Phase Transitions (QPTs) in Heisenberg models.

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