Nonlocal Landau free-energy functional: Application to the magnetic phase transition inCsNiF3

1988 ◽  
Vol 37 (13) ◽  
pp. 7712-7725 ◽  
Author(s):  
M. L. Plumer ◽  
A. Caillé
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Magnetic Phase Transition ◽  
Magnetic Phase ◽  
Energy Functional ◽  
Free Energy Functional ◽  
Landau Free Energy

scholarly journals Homogenization of composite ferromagnetic materials

2015 ◽  
Vol 471 (2182) ◽  
pp. 20150365 ◽  
Author(s):  
François Alouges ◽  
Giovanni Di Fratta
Keyword(s):  
Free Energy ◽  
Ferromagnetic Material ◽  
Energy Functional ◽  
Ferromagnetic Materials ◽  
Rigorous Derivation ◽  
Free Energy Functional ◽  
Landau Free Energy ◽  
Ferromagnetic Body ◽  
The Media

The objective of this paper is to perform, by means of Γ - convergence and two-scale convergence , a rigorous derivation of the homogenized Gibbs–Landau free energy functional associated with a composite periodic ferromagnetic material, i.e. a ferromagnetic material in which the heterogeneities are periodically distributed inside the media. We thus describe the Γ -limit of the Gibbs–Landau free energy functional, as the period over which the heterogeneities are distributed inside the ferromagnetic body shrinks to zero.

LANDAU FREE ENERGY FUNCTIONAL FOR BIPOLARONIC SUPERCONDUCTOR

1988 ◽  
Vol 02 (05) ◽  
pp. 847-850
Author(s):  
T. K. KOPEĆ
Keyword(s):  
Free Energy ◽  
Energy Functional ◽  
Order Parameters ◽  
Free Energy Functional ◽  
Landau Free Energy ◽  
Competing Order

The Landau free energy functional with two competing order parameters is derived from microscopic considerations for bipolaronic superconductor.

scholarly journals Transition pathways connecting crystals and quasicrystals

2021 ◽  
Vol 118 (49) ◽  
pp. e2106230118
Author(s):  
Jianyuan Yin ◽  
Kai Jiang ◽  
An-Chang Shi ◽  
Pingwen Zhang ◽  
Lei Zhang
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Saddle Points ◽  
Energy Functional ◽  
Computational Method ◽  
Local Minima ◽  
Free Energy Functional ◽  
Transition Pathways ◽  
Critical Nuclei ◽  
Quasicrystalline State

Due to structural incommensurability, the emergence of a quasicrystal from a crystalline phase represents a challenge to computational physics. Here, the nucleation of quasicrystals is investigated by using an efficient computational method applied to a Landau free-energy functional. Specifically, transition pathways connecting different local minima of the Lifshitz–Petrich model are obtained by using the high-index saddle dynamics. Saddle points on these paths are identified as the critical nuclei of the 6-fold crystals and 12-fold quasicrystals. The results reveal that phase transitions between the crystalline and quasicrystalline phases could follow two possible pathways, corresponding to a one-stage phase transition and a two-stage phase transition involving a metastable lamellar quasicrystalline state, respectively.

scholarly journals Magnetic Phase Transition, Elastic and Thermodynamic Properties of L12-(Ni,Cu)3(Al,Fe,Cr) in 3d High-Entropy Alloys

Crystals ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 1102
Author(s):  
Li Ma ◽  
Zhi-Peng Wang ◽  
Guo-Hua Huang ◽  
Jin-Li Huang ◽  
Ping-Ying Tang ◽  
...  
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Gibbs Free Energy ◽  
Magnetic Phase Transition ◽  
Magnetic Phase ◽  
High Entropy Alloys ◽  
High Entropy ◽  
Structure Phase ◽  
Temperature Dependences ◽  
Significant Temperature

The phase stability and elastic properties of paramagnetic (PM), ferromagnetic (FM) and antiferromagnetic (AFM) phases in L12-(Ni,Cu)3(Al,Fe,Cr) alloy are first investigated using the exact muffin-tin orbitals (EMTO) method in combination with the coherent potential approximation (CPA). The result shows the AFM structure phase of the three is the most stable in the ground state. Calculated elastic constants show that all the phases are mechanically stable, and have uncovered that L12-(Ni,Cu)3(Al,Fe,Cr) can achieve good strength and ductility simultaneously. Then, crucial thermal properties are described satisfactorily using the Debye–Grüneisen model, showing heat capacity, Gibbs free energy G, the competitive contribution of entropy −TS and enthalpy H exhibiting significant temperature dependences. Moreover, the magnetic phase transition thermodynamics was studied, which suggests that −TS has a primary contribution to Gibbs free energy and may play a key role in the phase transition. The present results can benefit the understanding of the mechanical, thermodynamic and magnetic properties of the L12 structure phase in 3d high-entropy alloys.

The Mesoscopic Description of Pressure and Velocity Profiles Near Planar Wall in Water Solutions

1994 ◽  
Vol 366 ◽  
Author(s):  
Anatol Brodsky ◽  
William P. Reinhardt
Keyword(s):  
Free Energy ◽  
Stress Tensor ◽  
Velocity Profiles ◽  
Energy Functional ◽  
Water Solutions ◽  
Free Energy Functional ◽  
Landau Free Energy ◽  
Planar Wall ◽  
Functional Explanations ◽  
Polar Solutions

ABSTRACTThe stress tensor for polar solutions is constructed starting from a nonlocal and nonlinear Landau free energy functional. Explanations of some puzzling properties of liquids near interfaces are proposed.

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