Possible failure of the scaling law upon phase transition of a Bose system to a superfluid state

1989 ◽  
Vol 46 (1) ◽  
pp. 1619-1630 ◽  
Author(s):  
V. N. Popov
Keyword(s):  
Phase Transition ◽  
Scaling Law ◽  
Bose System ◽  
Superfluid State

Critical Dynamics of the Phase Transition to the Superfluid State

2019 ◽  
Vol 200 (2) ◽  
pp. 1237-1251 ◽  
Author(s):  
Yu. A. Zhavoronkov ◽  
M. V. Komarova ◽  
Yu. G. Molotkov ◽  
M. Yu. Nalimov ◽  
J. Honkonent
Keyword(s):  
Phase Transition ◽  
Critical Dynamics ◽  
Superfluid State

DIMENSIONAL DEPENDENCE OF CHIRAL-SYMMETRY- BREAKING PHASE TRANSITION IN QUENCHED PLANAR QED

1989 ◽  
Vol 04 (22) ◽  
pp. 2155-2166 ◽  
Author(s):  
KEI-ICHI KONDO ◽  
HAJIME NAKATANI
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Scaling Law ◽  
Mean Field ◽  
Dyson Equation ◽  
Essential Singularity ◽  
Spontaneous Breaking ◽  
Planar Approximation ◽  
Singularity Type

We consider the critical behavior of the phase transition associated with the spontaneous breaking of chiral-symmetry in (QED) D, in the framework of the Schwinger-Dyson equation. Special attention is paid on the scaling law. While it is well known that quenched planar QED 4 obeys the Miransky scaling of the essential singularity type, our numerical calculations show that QED 5 and QED 6 do obey the mean-field type scaling, even in the quenched planar approximation. Thus the essential singularity type scaling in the cutoff QED is considered to be possible only when D=4 under the quenched planar approximation.

The Phase Transition Model for Heat-Shrinkable Thermo-Sensitive Hydrogels Based on Interaction Energy

2015 ◽  
Vol 17 (2) ◽  
pp. 594-614 ◽  
Author(s):  
Qiujin Peng ◽  
Hui Zhang ◽  
Zhengru Zhang
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Lattice Theory ◽  
Constitutive Relations ◽  
Transition Model ◽  
Bose System ◽  
Volume Phase Transition ◽  
Group Contribution Method ◽  
Mechanics Model ◽  
Volume Transition

AbstractA biphase mixture continuum mechanics model is derived for neutral heat-shrinkable thermo-sensitive hydrogels in this paper. The mixing free energy of the special mixture is recalculated based on the partition function of Bose system, and it evaluates the contribution of the hydrophilic, hydrophobic interaction and hydrogen bonding to the volume phase transition behaviors. The ideas of the Flory lattice theory and the UNIFAC group contribution method are employed to get the expression of the mixing free energy. Then we deduce a particular model by combining this mixing free energy with the conservation laws equations and constitutive relations of both phases to predict the volume transition behaviors of these special hydrogels.

scholarly journals MONTE CARLO SIMULATION OF THE RISE AND THE FALL OF LANGUAGES

2005 ◽  
Vol 16 (05) ◽  
pp. 781-787 ◽  
Author(s):  
CHRISTIAN SCHULZE ◽  
DIETRICH STAUFFER
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Scaling Law ◽  
Biological Evolution ◽  
Mutation Rates ◽  
Random Mutation ◽  
Simple Scaling ◽  
Log Normal ◽  
Sharp Phase Transition ◽  
Fixed Population

Similar to biological evolution and speciation, we define a language through a string of 8 or 16 bits. The parent gives its language to its children, apart from a random mutation from zero to one or from one to zero; initially all bits are zero. The Verhulst deaths are taken as proportional to the total number of people, while in addition languages spoken by many people are preferred over small languages. For a fixed population size, a sharp phase transition is observed: For low mutation rates, one language contains nearly all people; for high mutation rates, no language dominates and the size distribution of languages is roughly log-normal as for present human languages. A simple scaling law is valid.

Critical Behavior of Gd5Si2Ge1.9Ga0.1 near the Ferromagnetic-Paramagnetic Phase Transition

2013 ◽  
Vol 873 ◽  
pp. 855-860 ◽  
Author(s):  
Zeng Ru Zhao ◽  
Gao Feng Wang ◽  
Xue Feng Zhang
Keyword(s):  
Phase Transition ◽  
Critical Behavior ◽  
Scaling Law ◽  
Mean Field Theory ◽  
Mean Field ◽  
Entropy Change ◽  
Paramagnetic Phase ◽  
Range Type ◽  
Fisher Model ◽  
The Mean

The critical behavior near the ferromagnetic-paramagnetic phase transition in Gd5Si2Ge1.9Ga0.1 has been investigated using a method based on the field dependence of isothermal entropy change. The reliability of the critical exponents determined in such a way has been examined through various techniques, like constructing the modified Arrott plot, applying the scaling law on the isothermal magnetization curves, and comparing the values with those obtained from the Kouvel-Fisher model. The resulting values of the exponents were estimated to be = 0.45(2), = 1.31(5), = 3.9(2) and = 0.69(1), close to the values predicted by the mean field theory. Hence, we concluded that the exchange interaction is of long-range type.

A Linear Scaling Law for Predicting Phase Transition Temperature via Averaged Effective Electronegativity Derived from A2M3O12-based Compounds

2021 ◽  
Author(s):  
Huanli Yuan ◽  
Chunyan Wang ◽  
QiLong Gao ◽  
Gaojie Zeng ◽  
Juan Guo ◽  
...  
Keyword(s):  
Phase Transition ◽  
Thermal Expansion ◽  
Transition Temperature ◽  
Phase Transition Temperature ◽  
Scaling Law ◽  
Negative Thermal Expansion ◽  
Linear Scaling ◽  
Ion Conduction

Chemical flexibility of A2M3O12-based compounds enables design of materials with versatile functionalities such as ferroelastic switching, ion conduction and negative thermal expansion (NTE) above ferroelastic transition temperature (Tt), promising for...

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