scholarly journals Effective Ginzburg–Landau free energy functional for multi-band isotropic superconductors

2016 ◽  
Vol 380 (20) ◽  
pp. 1781-1787 ◽  
Author(s):  
Konstantin V. Grigorishin
Keyword(s):  
Free Energy ◽  
Energy Functional ◽  
Ginzburg Landau ◽  
Free Energy Functional ◽  
Landau Free Energy ◽  
Multi Band

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.

GROWTH KINETICS IN THE Φ6N-COMPONENT MODEL: NONCONSERVED ORDER PARAMETER

1994 ◽  
Vol 08 (18) ◽  
pp. 1115-1124
Author(s):  
F. CORBERI ◽  
U. MARINI BETTOLO MARCONI
Keyword(s):  
Free Energy ◽  
Growth Kinetics ◽  
Order Parameter ◽  
Energy Functional ◽  
Component Model ◽  
Ginzburg Landau ◽  
Free Energy Functional ◽  
Spherical Limit ◽  
Component Order ◽  
Component Order Parameter

The dynamics of a system with a nonconserved N-component order parameter described by a Ginzburg–Landau free energy functional containing a sixth order nonlinearity is discussed in the spherical limit. The model displays a richer behavior than the well-studied Φ4 case. In particular it shows interesting properties regarding metastability, a feature which is absent in the spherical Φ4 model.

scholarly journals Dynamics of inhomogeneous chiral condensates

2018 ◽  
Vol 172 ◽  
pp. 03005 ◽  
Author(s):  
Juan Pablo Carlomagno ◽  
Gastão Krein ◽  
Daniel Kroff ◽  
Thiago Peixoto
Keyword(s):  
Free Energy ◽  
Formation Process ◽  
Equilibrium Phase ◽  
Heavy Ion ◽  
Energy Functional ◽  
Heavy Ion Collision ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Free Energy Functional ◽  
Ion Collision

We study the dynamics of the formation of inhomogeneous chirally broken phases in the final stages of a heavy-ion collision, with particular interest on the time scales involved in the formation process. The study is conducted within the framework of a Ginzburg-Landau time evolution, driven by a free energy functional motivated by the Nambu–Jona-Lasinio model. Expansion of the medium is modeled by one-dimensional Bjorken flow and its effect on the formation of inhomogeneous condensates is investigated. We also use a free energy functional from a nonlocal Nambu–Jona-Lasinio model which predicts metastable phases that lead to long-lived inhomogeneous condensates before reaching an equilibrium phase with homogeneous condensates.

The energy of Ginzburg–Landau vortices

2002 ◽  
Vol 13 (2) ◽  
pp. 153-178 ◽  
Author(s):  
Y. N. OVCHINNIKOV ◽  
I. M. SIGAL
Keyword(s):  
Free Energy ◽  
Asymptotic Expansion ◽  
Asymptotic Behaviour ◽  
Landau Equation ◽  
Energy Functional ◽  
Vortex Interaction ◽  
Ginzburg Landau ◽  
Self Energy ◽  
Free Energy Functional ◽  
Leading Term

We consider the Ginzburg–Landau equation in dimension two. We introduce a key notion of the vortex (interaction) energy. It is defined by minimizing the renormalized Ginzburg–Landau (free) energy functional over functions with a given set of zeros of given local indices. We find the asymptotic behaviour of the vortex energy as the inter-vortex distances grow. The leading term of the asymptotic expansion is the vortex self-energy while the next term is the classical Kirchhoff–Onsager Hamiltonian. To derive this expansion we use several novel techniques.

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.

scholarly journals On the Kirchhoff-Love Hypothesis (Revised and Vindicated)

2021 ◽  
Author(s):  
Olivier Ozenda ◽  
Epifanio G. Virga
Keyword(s):  
Free Energy ◽  
Dimension Reduction ◽  
Three Dimensional ◽  
Energy Functional ◽  
The Other ◽  
Variational Model ◽  
Two Dimensional ◽  
Elastic Plates ◽  
Kinematic Constraint ◽  
Free Energy Functional

AbstractThe Kirchhoff-Love hypothesis expresses a kinematic constraint that is assumed to be valid for the deformations of a three-dimensional body when one of its dimensions is much smaller than the other two, as is the case for plates. This hypothesis has a long history checkered with the vicissitudes of life: even its paternity has been questioned, and recent rigorous dimension-reduction tools (based on standard $\varGamma $ Γ -convergence) have proven to be incompatible with it. We find that an appropriately revised version of the Kirchhoff-Love hypothesis is a valuable means to derive a two-dimensional variational model for elastic plates from a three-dimensional nonlinear free-energy functional. The bending energies thus obtained for a number of materials also show to contain measures of stretching of the plate’s mid surface (alongside the expected measures of bending). The incompatibility with standard $\varGamma $ Γ -convergence also appears to be removed in the cases where contact with that method and ours can be made.

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