scholarly journals Phase ordering kinetics of the long-range Ising model

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Henrik Christiansen ◽  
Suman Majumder ◽  
Wolfhard Janke
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Joanna Pietraszewicz ◽  
Aleksandra Seweryn ◽  
Emilia Witkowska

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.


1996 ◽  
Vol 54 (6) ◽  
pp. 5037-5041 ◽  
Author(s):  
Kedar Damle ◽  
Satya N. Majumdar ◽  
Subir Sachdev

1998 ◽  
Vol 57 (4) ◽  
pp. 4568-4571 ◽  
Author(s):  
Eric Bonabeau ◽  
Guy Theraulaz ◽  
Vincent Fourcassié ◽  
Jean-Louis Deneubourg

1993 ◽  
Vol 48 (6) ◽  
pp. 4257-4262 ◽  
Author(s):  
Hisao Hayakawa ◽  
Takamitsu Ishihara ◽  
Kenichi Kawanishi ◽  
Takeshi S. Kobayakawa

1990 ◽  
Vol 205 ◽  
Author(s):  
R. Kozubski ◽  
J. Soltys ◽  
M.C. Cadeville ◽  
V. Pierron-Bohhes

AbstractKinetics of long-range ordering was studied in the alloys Ni75Al25-xFex by means of in situ resistometry. The alloys under consideration exhibit a dramatic decrease of the "order-disorder" transition temperature Ttr with increasing X. After the existing theoretical models, the activation energy of long-range ordering should depend on one hand on the energy of ordering - related to Ttr -, and on the other hand, on the current value of the LRO degree. The performed measurements yield an experimental evidence of the above relationships. In addition, a considerable effect of magnetic order on LRO kinetics has also been registered. The results are qualitatively discussed in terms of the model of LRO kinetics in L12 structure proposed by Schoijet and Girifalco.


1996 ◽  
Vol 54 (4) ◽  
pp. 3257-3263 ◽  
Author(s):  
Jong-Rim Lee ◽  
Sung Jong Lee ◽  
Bongsoo Kim ◽  
Iksoo Chang

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