scholarly journals Spatial structures in a generalized Ginzburg-Landau free energy

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
Abdel-Khalek Farid ◽  
Yonggang Yu ◽  
Avadh Saxena ◽  
Pradeep Kumar
Keyword(s):  
Free Energy ◽  
Spatial Structures ◽  
Ginzburg Landau ◽  
Landau Free Energy

scholarly journals Effect of intensity and size of defect on Ginzburg-Landau free energy for type II superconductors

2020 ◽  
Author(s):  
Dyah Eka Puspitasari ◽  
Nizar Rahmanda Hardiyanto ◽  
Eny Latifah ◽  
Hari Wisodo
Keyword(s):  
Free Energy ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Landau Free Energy

Precursor Nanoscale Textures in Ferroelastics: Interplay between Anisotropy and Disorder

2013 ◽  
Vol 738-739 ◽  
pp. 155-159 ◽  
Author(s):  
Teresa Castán ◽  
Antoni Planes ◽  
Avadh Saxena
Keyword(s):  
Experimental Data ◽  
Free Energy ◽  
Ginzburg Landau ◽  
Landau Free Energy ◽  
Frozen State ◽  
Nanoscale Textures

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.

Existence of Minimizer to the Ginzburg-Landau Free Energy of Ferromagnetic System

2013 ◽  
Vol 444-445 ◽  
pp. 717-722
Author(s):  
Li Mei Li ◽  
Hong Luo
Keyword(s):  
Free Energy ◽  
Sobolev Space ◽  
Monotone Operator ◽  
Ginzburg Landau ◽  
Landau Free Energy ◽  
Lower Semi ◽  
Ferromagnetic System ◽  
Compact Imbedding

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.

scholarly journals Coarse-grained Ginzburg–Landau free energy for Lennard-Jones systems

2000 ◽  
Vol 113 (9) ◽  
pp. 3525-3529 ◽  
Author(s):  
M. E. Gracheva ◽  
J. M. Rickman ◽  
J. D. Gunton
Keyword(s):  
Free Energy ◽  
Coarse Grained ◽  
Ginzburg Landau ◽  
Lennard Jones ◽  
Landau Free Energy
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