Target excitation dependence of degree of multifractality and critical exponent in ultrarelativistic nuclear collision

2010 ◽  
Vol 88 (9) ◽  
pp. 651-656 ◽  
Author(s):  
Dipak Ghosh ◽  
Argha Deb ◽  
Ruma Saha ◽  
Rupa Das
Keyword(s):  
Phase Transition ◽  
Critical Exponent ◽  
Order Phase Transition ◽  
Particle Density ◽  
Nuclear Collision ◽  
Particle Density Distribution ◽  
Thermal Phase Transition ◽  
Thermal Phase ◽  
Show Evidence ◽  
Second Order Phase Transition

The target excitation dependence of the degree of multifractality and critical exponent of pions produced for the 16O-AgBr interaction at 60 AGeV has been investigated. To study target excitation dependence, the data for the produced pions were distributed into three sets, depending on the number of grey tracks (ng). The different sets correspond to the different degrees of target excitation. The probability G-moments were used for the analysis in pseudorapidity space. The analysis reveals that the produced particle density distribution possesses multifractal structure for all degrees of target excitation (0 ≤ ng ≤ 3, 4 ≤ ng ≤ 7, and ng ≥ 8). The distribution Levy index and the phase transition critical exponent are calculated. The study indicates the non-thermal phase transition, but it does not show evidence for the second-order phase transition.

CRITICAL BEHAVIOR OF THE SPECIFIC HEAT IN THE VICINITY OF THE TRANSITION TEMPERATURE FOR S-TRIAZINE

2009 ◽  
Vol 23 (09) ◽  
pp. 2253-2259 ◽  
Author(s):  
M. KURT ◽  
H. YURTSEVEN
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Transition Temperature ◽  
Critical Exponent ◽  
Specific Heat ◽  
Power Law ◽  
Order Phase Transition ◽  
Critical Behavior ◽  
First Order ◽  
Second Order Phase Transition

The critical behavior of the specific heat is studied in s-triazine ( C 3 N 3 H 3). Using the experimental data for the CP, the temperature dependence of the specific heat is analyzed according to a power-law formula and the values of the critical exponent for CP are extracted in the vicinity of the transition temperature (TC=198.07 K ). It is indicated that s-triazine undergoes a weakly first order (quasi-continuous) or second order phase transition.

COHERENT-ANOMALY APPROACH TO BLUME-EMERY-GRIFFITHS MODEL

1994 ◽  
Vol 08 (02) ◽  
pp. 113-126 ◽  
Author(s):  
M. KOLESÍK
Keyword(s):  
Phase Transition ◽  
Critical Exponent ◽  
Series Expansion ◽  
Order Phase Transition ◽  
Second Order ◽  
Crossover Effect ◽  
Variational Series ◽  
Universality Classes ◽  
Beg Model ◽  
Second Order Phase Transition

The Blume-Emery-Griffiths model is investigated using the coherent-anomaly method applied to the series of approximations which are based on variational series expansion. Universality of the model is checked directly by calculating the critical exponent γ along second-order-phase-transition lines. It is shown that the coherent-anomaly approach works also in the immediate neighborhood of tricritical points, and that it can differentiate between different universality classes (Potts subspace in the BEG model) without exhibiting a disturbing crossover effect.

Universality of the Ultrathin Film Viscosity Law

1998 ◽  
Vol 12 (02) ◽  
pp. 167-175 ◽  
Author(s):  
A. Brodsky
Keyword(s):  
Phase Transition ◽  
Critical Exponent ◽  
Shear Viscosity ◽  
Order Phase Transition ◽  
Mean Field ◽  
Universality Class ◽  
Liquid Films ◽  
Singular Behavior ◽  
Surface Phase ◽  
Second Order Phase Transition

An explanation of the remarkable singular behavior of the shear viscosity of ultrathin liquid films is presented. The "universal" viscosity law η eff ~ (|v|/d)-a originally observed by Hu, Carson and Granick [Phys. Rev. Letts.66, 2758 (1991)] is derived and the exponent a is found to be a = 1-δ-1 where δ is the critical exponent for a corresponding second order phase transition in the film. This exponent can take either the classical (mean field) value δ = 3, or other, nonclassical values depending on the universality class of the surface phase transition.

Thermal phase transition of RbMnFe(CN)6 observed by X-ray emission and absorption spectroscopy

2003 ◽  
Vol 125 (5) ◽  
pp. 237-241 ◽  
Author(s):  
Hitoshi Osawa ◽  
Toshiaki Iwazumi ◽  
Hiroko Tokoro ◽  
Shin-ichi Ohkoshi ◽  
Kazuhito Hashimoto ◽  
...  
Keyword(s):  
Phase Transition ◽  
Absorption Spectroscopy ◽  
X Ray ◽  
Thermal Phase Transition ◽  
Thermal Phase

A crystallographic study of the second-order phase transition in bis(p-toluene sulphonate) diacetylene polymer crystals

1980 ◽  
Vol 69 ◽  
pp. 49 ◽  
Author(s):  
Richard L. Williams ◽  
David Bloor ◽  
David N. Batchelder ◽  
Michael B. Hursthouse ◽  
William B. Daniels
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Second Order ◽  
Polymer Crystals ◽  
Crystallographic Study ◽  
Second Order Phase Transition

Second-order phase transition of high isotactic polypropylene at high temperature

Polymer ◽  
2002 ◽  
Vol 43 (4) ◽  
pp. 1473-1481 ◽  
Author(s):  
Fangming Gu ◽  
Masamichi Hikosaka ◽  
Akihiko Toda ◽  
Swapan Kumar Ghosh ◽  
Shinichi Yamazaki ◽  
...  
Keyword(s):  
Phase Transition ◽  
High Temperature ◽  
Isotactic Polypropylene ◽  
Order Phase Transition ◽  
Second Order ◽  
Second Order Phase Transition

The flattening phase transition in systems of trapped ions

2009 ◽  
Vol 87 (10) ◽  
pp. 1425-1435 ◽  
Author(s):  
Taunia L. L. Closson ◽  
Marc R. Roussel
Keyword(s):  
Phase Transition ◽  
Critical Exponent ◽  
Order Parameter ◽  
Ion Trap ◽  
Anisotropy Parameter ◽  
Critical Value ◽  
Trapped Ions ◽  
Dimensional Structure ◽  
Flattening Process ◽  
Second Order Phase Transition

When the anisotropy of a harmonic ion trap is increased, the ions eventually collapse into a two-dimensional structure consisting of concentric shells of ions. This collapse generally behaves like a second-order phase transition. A graph of the critical value of the anisotropy parameter vs. the number of ions displays substructure closely related to the inner-shell configurations of the clusters. The critical exponent for the order parameter of this phase transition (maximum extent in the z direction) was found computationally to have the value β = 1/2. A second critical exponent related to displacements perpendicular to the z axis was found to have the value δ = 1. Using these estimates of the critical exponents, we derive an equation that relates the amplitudes of the displacements of the ions parallel to the x–y plane to the amplitudes along the z axis during the flattening process.

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