Stationary states and dynamics of superconducting thin films

Magnus Ögren; Mads Peter Sørensen; Niels Falsig Pedersen

Stationary states and dynamics of superconducting thin films

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Abstract

The Ginzburg-Landau (GL) theory is a celebrated tool for theoretical modelling of superconductors [1]. We elaborate on different partial differential equations (PDEs) and boundary conditions for GL theory, formulated within the finite element method (FEM) [2]. Examples of PDEs for the calculation of stationary states with the GL equation and with the time-dependent GL equation are given. Moreover we study real time evolution with the so called Schrödinger-GL equation [3]. For simplicity we here present numerical data for a twodimensional rectangular geometry, but we emphasize that our FEM formulation can handle complex geometries also in a three-dimensional superconducting structure. To include external currents in our modelling we discuss the role of the boundary conditions for the external magnetic field [4]. Finally we show results for the pinning of vortices with controlled impurities.

Original language	English
Publication date	2011
Publication status	Published - 2011
Event	7th International Conference on Vortex Matter in Nanostructured Superconductors - Rhodes, Greece Duration: 10 Sept 2011 → 17 Sept 2011

Conference

Conference	7th International Conference on Vortex Matter in Nanostructured Superconductors
Country/Territory	Greece
City	Rhodes
Period	10/09/2011 → 17/09/2011

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title = "Stationary states and dynamics of superconducting thin films",

abstract = "The Ginzburg-Landau (GL) theory is a celebrated tool for theoretical modelling of superconductors [1]. We elaborate on different partial differential equations (PDEs) and boundary conditions for GL theory, formulated within the finite element method (FEM) [2]. Examples of PDEs for the calculation of stationary states with the GL equation and with the time-dependent GL equation are given. Moreover we study real time evolution with the so called Schr{\"o}dinger-GL equation [3]. For simplicity we here present numerical data for a twodimensional rectangular geometry, but we emphasize that our FEM formulation can handle complex geometries also in a three-dimensional superconducting structure. To include external currents in our modelling we discuss the role of the boundary conditions for the external magnetic field [4]. Finally we show results for the pinning of vortices with controlled impurities.",

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T1 - Stationary states and dynamics of superconducting thin films

AU - Ögren, Magnus

AU - Sørensen, Mads Peter

AU - Pedersen, Niels Falsig

PY - 2011

Y1 - 2011

N2 - The Ginzburg-Landau (GL) theory is a celebrated tool for theoretical modelling of superconductors [1]. We elaborate on different partial differential equations (PDEs) and boundary conditions for GL theory, formulated within the finite element method (FEM) [2]. Examples of PDEs for the calculation of stationary states with the GL equation and with the time-dependent GL equation are given. Moreover we study real time evolution with the so called Schrödinger-GL equation [3]. For simplicity we here present numerical data for a twodimensional rectangular geometry, but we emphasize that our FEM formulation can handle complex geometries also in a three-dimensional superconducting structure. To include external currents in our modelling we discuss the role of the boundary conditions for the external magnetic field [4]. Finally we show results for the pinning of vortices with controlled impurities.

AB - The Ginzburg-Landau (GL) theory is a celebrated tool for theoretical modelling of superconductors [1]. We elaborate on different partial differential equations (PDEs) and boundary conditions for GL theory, formulated within the finite element method (FEM) [2]. Examples of PDEs for the calculation of stationary states with the GL equation and with the time-dependent GL equation are given. Moreover we study real time evolution with the so called Schrödinger-GL equation [3]. For simplicity we here present numerical data for a twodimensional rectangular geometry, but we emphasize that our FEM formulation can handle complex geometries also in a three-dimensional superconducting structure. To include external currents in our modelling we discuss the role of the boundary conditions for the external magnetic field [4]. Finally we show results for the pinning of vortices with controlled impurities.

M3 - Poster

T2 - 7th International Conference on Vortex Matter in Nanostructured Superconductors

Y2 - 10 September 2011 through 17 September 2011

ER -

Stationary states and dynamics of superconducting thin films

Abstract

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