The superfluid transition of4He, a test case for finite-size scaling at a second-order phase transition

2001 ◽  
Vol 13 (21) ◽  
pp. 4871-4889 ◽  
Author(s):  
Francis M Gasparini ◽  
Mark O Kimball ◽  
Kevin P Mooney
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Finite Size ◽  
Second Order ◽  
Superfluid Transition ◽  
Test Case ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Second Order Phase Transition

scholarly journals Finite-size effects in disordered λφ4 model

2016 ◽  
Vol 30 (30) ◽  
pp. 1650207 ◽  
Author(s):  
R. Acosta Diaz ◽  
N. F. Svaiter
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Power Law ◽  
Order Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Second Order ◽  
Finite Size Effects ◽  
Power Law Decay ◽  
Second Order Phase Transition

We discuss finite-size effects in one disordered [Formula: see text] model defined in a [Formula: see text]-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a quenched random field. In order to obtain the average value of the free energy of the system, we use the replica method. We first discuss finite-size effects in the one-loop approximation in [Formula: see text] and [Formula: see text]. We show that in both cases, there is a critical length where the system develop a second-order phase transition, when the system presents long-range correlations with power-law decay. Next, we improve the above result studying the gap equation for the size-dependent squared mass, using the composite field operator method. We obtain again that the system present a second-order phase transition with long-range correlation with power-law decay.

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
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