scholarly journals Boundary conditions for the Néel order parameter in a chiral antiferromagnetic slab

2021 ◽  
Vol 103 (13) ◽  
Author(s):  
Oleksandr V. Pylypovskyi ◽  
Artem V. Tomilo ◽  
Denis D. Sheka ◽  
Jürgen Fassbender ◽  
Denys Makarov
Keyword(s):  
Boundary Conditions ◽  
Order Parameter ◽  
Néel Order

scholarly journals Order parameter profiles in a system with Neumann – Neumann boundary conditions

2018 ◽  
Vol 145 ◽  
pp. 01009 ◽  
Author(s):  
Vassil M. Vassilev ◽  
Daniel M. Dantchev ◽  
Peter A. Djondjorov
Keyword(s):  
Boundary Conditions ◽  
Order Parameter ◽  
Neumann Boundary ◽  
Elliptic Functions ◽  
Thermodynamic System ◽  
Neumann Boundary Conditions ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
The One ◽  
Field Plane

In this article we consider a critical thermodynamic system with the shape of a thin film confined between two parallel planes. It is assumed that the state of the system at a given temperature and external ordering field is described by order-parameter profiles, which minimize the one-dimensional counterpart of the standard ϕ4 Ginzburg–Landau Hamiltonian and meet the so-called Neumann – Neumann boundary conditions. We give analytic representation of the extremals of this variational problem in terms ofWeierstrass elliptic functions. Then, depending on the temperature and ordering field we determine the minimizers and obtain the phase diagram in the temperature-field plane.

scholarly journals Computer simulation of the structural phase transitions in thin ferroelectric films

2017 ◽  
Vol 07 (01) ◽  
pp. 1750004 ◽  
Author(s):  
O. G. Maksimova ◽  
A. V. Maksimov ◽  
O. S. Baruzdina
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Boundary Conditions ◽  
Order Parameter ◽  
Mixed Boundary ◽  
Structural Phase ◽  
Film Surface ◽  
Mixed Boundary Conditions ◽  
Structural Phase Transitions ◽  
Ferroelectric Films

The influence of free surface and depolarizing field on structural phase transitions in thin ferroelectric films from an ordered state to a disordered one is investigated. The dependences of the order parameter on the distance from the free film surface are calculated. It is shown that with the presence of the depolarizing field and in its absence, the effective thickness of the surface layer depends on the temperature. Nearby the phase transition point, the thickness increases indefinitely. Calculations considering depolarizing field showed that the phase transition points for the bulk ferroelectrics and the film under given boundary conditions coincide. Also shown that in the absence of depolarizing field with mixed boundary conditions, the film thickness does not affect the order parameter, and in presence of the field, this influence is observed.

Order-parameter textures and boundary conditions in rotating vortex-freeB3

1990 ◽  
Vol 65 (10) ◽  
pp. 1211-1214 ◽  
Author(s):  
J. S. Korhonen ◽  
A. D. Gongadze ◽  
Z. Janú ◽  
Y. Kondo ◽  
M. Krusius ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Order Parameter

scholarly journals Зависимость критической температуры цилиндрических сверхпроводников от граничных условий

2020 ◽  
Vol 62 (10) ◽  
pp. 1594
Author(s):  
А.Н. Лыков
Keyword(s):  
Boundary Conditions ◽  
Coherence Length ◽  
Order Parameter ◽  
Landau Theory ◽  
Small Diameter ◽  
Superconducting Order Parameter ◽  
Superconducting Properties ◽  
Ginzburg Landau

The paper presents the results of a study of the properties of long cylindrical superconductors with a diameter of the order of coherence length ξ, performed in the framework of the Ginzburg-Landau theory (GL). Boundary conditions of general form are used for solution of the GL equa-tion for superconducting order parameter. Using such boundary conditions allows us to take into account the influence of the cylinder boundary on its superconducting properties. This ap-proach is important for small-diameter cylinders, whose properties significantly depend on the properties of their boundaries.

Rand- und Grenzbedingungen in der Theorie stark verunreinigter Supraleiter

1968 ◽  
Vol 23 (5) ◽  
pp. 655-670
Author(s):  
Klaus-Dieter Usadel
Keyword(s):  
Integral Equation ◽  
Correlation Function ◽  
Diffusion Equation ◽  
Boundary Conditions ◽  
Order Parameter ◽  
Electrical Contact ◽  
Good Electrical Contact

The kernel of the linearized integral equation for the order parameter Δ (r) was shown] by DE GENNES to be the solution of a diffusion equation in the case of a very impure superconductor. On the basis of the method of the correlation function originating from DE GENNES and further developed by LÜDERS, boundary conditions to the diffusion equation are derived for surfaces and for interfaces between different conductors. In the case of good electrical contact, our results are identical with those given by DE GENNES.

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