Band Propagation, Scaling Laws and Phase Transition in a Precipitate System. I: Experimental Study

2012 ◽  
Vol 116 (18) ◽  
pp. 4427-4437 ◽  
Author(s):  
Mazen Al-Ghoul ◽  
Manal Ammar ◽  
Rabih O. Al-Kaysi
Keyword(s):  
Phase Transition ◽  
Experimental Study ◽  
Scaling Laws

The Order of Phase Transition of Solvable DNA Melting Models

2003 ◽  
Vol 17 (16) ◽  
pp. 885-896 ◽  
Author(s):  
Su-Long Nyeo ◽  
I-Ching Yang
Keyword(s):  
Phase Transition ◽  
Hydrogen Bonds ◽  
Short Range ◽  
Scaling Laws ◽  
Dna Melting ◽  
Thermodynamic Quantities ◽  
Base Pairs ◽  
Order Of Phase Transition ◽  
Exactly Solvable ◽  
Dna Models

The phase transition of DNA molecules is studied in an exactly solvable formalism with the Morse and Deng–Fan potentials for the interstrand hydrogen bonds of nucleotide base pairs. It is shown that although the two potentials have different short-range behaviors, the thermodynamic quantities of the DNA system in these potentials enjoy the same scaling laws with the associated critical exponents, which are explicitly calculated. These exactly solvable DNA models are shown to exhibit a phase transition of the second order and the results of the analysis agree with previous studies.

scholarly journals Phase Transition in Dynamical Systems: Defining Classes of Universality for Two-Dimensional Hamiltonian Mappings via Critical Exponents

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Edson D. Leonel
Keyword(s):  
Phase Transition ◽  
Critical Exponents ◽  
Scaling Laws ◽  
Scaling Function ◽  
Initial Conditions ◽  
Invariant Tori ◽  
Dynamical Variable ◽  
Two Dimensional ◽  
Control Parameters ◽  
Average Value

A phase transition from integrability to nonintegrability in two-dimensional Hamiltonian mappings is described and characterized in terms of scaling arguments. The mappings considered produce a mixed structure in the phase space in the sense that, depending on the combination of the control parameters and initial conditions, KAM islands which are surrounded by chaotic seas that are limited by invariant tori are observed. Some dynamical properties for the largest component of the chaotic sea are obtained and described in terms of the control parameters. The average value and the deviation of the average value for chaotic components of a dynamical variable are described in terms of scaling laws, therefore critical exponents characterizing a scaling function that describes a phase transition are obtained and then classes of universality are characterized. The three models considered are: The Fermi-Ulam accelerator model, a periodically corrugate waveguide, and variant of the standard nontwist map.

scholarly journals The Effect of Different Strategies and the Structure on Opinion Formation

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Cheng Ju ◽  
Yang Cao ◽  
Pengcheng Zhou
Keyword(s):  
Phase Transition ◽  
Experimental Study ◽  
Bifurcation Diagram ◽  
Opinion Formation ◽  
Single Node

This paper defines two different ways of the process of the opinion formation and focuses on the effect of the proportion of the two strategies of process and the structure of the network. A multiopinion model is proposed in this paper, which includes two strategies of opinion formation. At the first part, the change of the structured network and the change of the single node are used as two strategies of the process of the opinion formation. We focus on how the proportion of the two strategies can affect the outcome of the process. At the second part, as the proportion of the two strategies is fixed, the edges are dense in the community and sparse outside. Thus we can construct a bifurcation diagram to be verified through experimental study. The phase transition is studied in the network which contains more than four opinions and two strategies of process. Our results show that the size of the group and the dense of edges are the two important features for the process of opinion formation.

Experimental Study of the Ca Effect in the Cubic-Tetragonal Phase Transition of Ca1-xSrxTiO3

2004 ◽  
Vol 301 (1) ◽  
pp. 145-149
Author(s):  
M. C. GALLARDO ◽  
A. I. BECERRO ◽  
F. J. ROMERO ◽  
J. DEL CERRO ◽  
S. A. T. REDFERN
Keyword(s):  
Phase Transition ◽  
Experimental Study ◽  
Tetragonal Phase ◽  
Tetragonal Phase Transition

PHASE TRANSITION, GEOMETROTHERMODYNAMICS AND CRITICAL EXPONENTS OF BARDEEN BLACK HOLE

2014 ◽  
Vol 23 (04) ◽  
pp. 1450040
Author(s):  
JIE-XIONG MO
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Specific Heat ◽  
Critical Exponents ◽  
Transition Point ◽  
Scaling Laws ◽  
Phase Transition Point ◽  
Invariant Metrics ◽  
Thermodynamic Quantities ◽  
Transition Structure

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.

Experimental study of the magnetic phase transition in the MnSi itinerant helimagnet

2008 ◽  
Vol 106 (5) ◽  
pp. 888-896 ◽  
Author(s):  
S. M. Stishov ◽  
A. E. Petrova ◽  
S. Khasanov ◽  
G. Kh. Panova ◽  
A. A. Shikov ◽  
...  
Keyword(s):  
Phase Transition ◽  
Experimental Study ◽  
Magnetic Phase Transition ◽  
Magnetic Phase

scholarly journals The q-Phase Transition and Critical Scaling Laws near the Band-Crisis Point of Chaotic Attractors

1989 ◽  
Vol 82 (5) ◽  
pp. 879-896 ◽  
Author(s):  
T. Yoshida ◽  
S. Miyazaki ◽  
H. Mori ◽  
T. Kobayashi ◽  
T. Horita ◽  
...  
Keyword(s):  
Phase Transition ◽  
Scaling Laws ◽  
Chaotic Attractors ◽  
Critical Scaling
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