scholarly journals First principles derivation of Ginzburg–Landau free energy models for crystalline systems

2006 ◽  
Vol 366 ◽  
pp. 229-242 ◽  
Author(s):  
James F. Lutsko
2020 ◽  
Author(s):  
Dyah Eka Puspitasari ◽  
Nizar Rahmanda Hardiyanto ◽  
Eny Latifah ◽  
Hari Wisodo

2013 ◽  
Vol 738-739 ◽  
pp. 155-159 ◽  
Author(s):  
Teresa Castán ◽  
Antoni Planes ◽  
Avadh Saxena

We study the effect of anisotropy and disorder on the morphology of precursor microstructures within a Ginzburg-Landau free energy framework. In addition, with increasing disorder at low anisotropy we find a crossover from a twinned state to a non-transforming frozen state. Results are compared with available experimental data.


2001 ◽  
Vol 63 (14) ◽  
Author(s):  
Jorge Íñiguez ◽  
S. Ivantchev ◽  
J. M. Perez-Mato ◽  
Alberto García

2013 ◽  
Vol 444-445 ◽  
pp. 717-722
Author(s):  
Li Mei Li ◽  
Hong Luo

In this paper, we obtain the existence of minimizer to Ginzburg-Landau free energy of ferromagnetic system by coercivity and weakly lower semi-continuity of the free energy, where the weakly lower semi-continuity is derived from monotone operator condition and the Sobolev space compact imbedding theorem.


2000 ◽  
Vol 113 (9) ◽  
pp. 3525-3529 ◽  
Author(s):  
M. E. Gracheva ◽  
J. M. Rickman ◽  
J. D. Gunton

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
Abdel-Khalek Farid ◽  
Yonggang Yu ◽  
Avadh Saxena ◽  
Pradeep Kumar

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