Topological defects, correlation functions, and power-law tails in phase-ordering kinetics

1993 ◽  
Vol 47 (1) ◽  
pp. 228-235 ◽  
Author(s):  
A. J. Bray
Keyword(s):  
Power Law ◽  
Correlation Functions ◽  
Topological Defects ◽  
Ordering Kinetics ◽  
Phase Ordering

scholarly journals Multifaceted phase ordering kinetics of an antiferromagnetic spin-1 condensate

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Joanna Pietraszewicz ◽  
Aleksandra Seweryn ◽  
Emilia Witkowska
Keyword(s):  
Scaling Laws ◽  
Study Phase ◽  
One Dimensional ◽  
Phase Domain ◽  
Ordering Kinetics ◽  
Domain Coarsening ◽  
Long Time ◽  
Phase Ordering ◽  
Kinetics Of ◽  
Antiferromagnetic Spin

AbstractWe study phase domain coarsening in the long time limit after a quench of magnetic field in a quasi one-dimensional spin-1 antiferromagnetic condensate. We observe that the growth of correlation length obeys scaling laws predicted by the two different models of phase ordering kinetics, namely the binary mixture and vector field. We derive regimes of clear realization for both of them. We demonstrate appearance of atypical scaling laws, which emerge in intermediate regions.

Addendum to ‘Isotropic correlation functions on d-dimensional balls’

2000 ◽  
Vol 32 (4) ◽  
pp. 960-961
Author(s):  
Tilmann Gneiting
Keyword(s):  
Power Law ◽  
Correlation Functions ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Bounded Domains ◽  
Unpublished Work ◽  
Polynomial Models ◽  
Necessary And Sufficient

We discuss necessary and sufficient conditions for power-law and polynomial models to be correlation functions on bounded domains. These results date back to unpublished work by Matheron (1974) and generalize the findings of Gneiting (1999).

scholarly journals Phase ordering kinetics of the Bose gas

1996 ◽  
Vol 54 (6) ◽  
pp. 5037-5041 ◽  
Author(s):  
Kedar Damle ◽  
Satya N. Majumdar ◽  
Subir Sachdev
Keyword(s):  
Bose Gas ◽  
Ordering Kinetics ◽  
Phase Ordering ◽  
Kinetics Of

Self-Assembly of β-Lactoglobulin and Acacia Gum in Aqueous Solvent:  Structure and Phase-Ordering Kinetics

Langmuir ◽  
2002 ◽  
Vol 18 (26) ◽  
pp. 10323-10333 ◽  
Author(s):  
C. Sanchez ◽  
G. Mekhloufi ◽  
C. Schmitt ◽  
D. Renard ◽  
P. Robert ◽  
...  
Keyword(s):  
Self Assembly ◽  
Solvent Structure ◽  
Ordering Kinetics ◽  
Acacia Gum ◽  
Aqueous Solvent ◽  
Phase Ordering ◽  
Β Lactoglobulin

scholarly journals Topological defects with power-law tails

2017 ◽  
Vol 798 ◽  
pp. 012087 ◽  
Author(s):  
R V Radomskiy ◽  
E V Mrozovskaya ◽  
V A Gani ◽  
I C Christov
Keyword(s):  
Power Law ◽  
Topological Defects

Power-law correlations and other models with long-range dependence on a lattice

2003 ◽  
Vol 40 (3) ◽  
pp. 690-703 ◽  
Author(s):  
Chunsheng Ma
Keyword(s):  
Long Range ◽  
Power Law ◽  
Correlation Functions ◽  
Short Range ◽  
Long Range Dependence ◽  
Correlation Model ◽  
Double Sequences ◽  
Exact Power ◽  
Stationary Random Field ◽  
Dependent Correlation

This paper introduces long-range dependence for a stationary random field on a plane lattice, derives an exact power-law correlation model and other models with long-range dependence on the lattice, and explores the close connection between short-range dependent correlation functions and absolutely summable double sequences.

scholarly journals Theory of phase-ordering kinetics

1994 ◽  
Vol 43 (3) ◽  
pp. 357-459 ◽  
Author(s):  
A.J. Bray
Keyword(s):  
Ordering Kinetics ◽  
Phase Ordering
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