Vortex motion in the spatially inhomogeneous conservative Ginzburg - Landau model

نویسندگان

  • B. Y. Rubinstein
  • L. M.
چکیده

Using the method of matched asymptotic expansion we construct the mobifity relation describing the vortex dynamics in the conservative Ginzburg-Landau equation with a spatially varying supercriticality parameter. For a particular case of a circularly symmetric supercriticality profile, we present the equations of vortex dynamics in a Hamiltonian form, and demonstrate the dynamic confinement of a vortex pair.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation

Abstract. The dynamic laws of quantized vortex interactions in the Ginzburg–Landau–Schrödinger equation (GLSE) are analytically and numerically studied. A review of the reduced dynamic laws governing the motion of vortex centers in the GLSE is provided. The reduced dynamic laws are solved analytically for some special initial data. By directly simulating the GLSE with an efficient and accurate ...

متن کامل

Vortex pinning by inhomogeneities in type-II superconductors

The methods of formal matched asymptotics are used to examine the motion of a curvilinear vortex in an inhomogeneous type-II superconducting material in the limit as the vortex core radius tends to zero. The resulting law of motion indicates that the logarithm of the equilibrium density of the superconducting electrons acts as a pinning potential for the vortex, so that vortices will be attract...

متن کامل

Vortex Motion Law for the Schrödinger-Ginzburg-Landau Equations

In the Ginzburg-Landau model for superconductivity a large Ginzburg-Landau parameter κ corresponds to the formation of tight, stable vortices. These vortices are located where an applied magnetic field pierces the superconducting bulk, and each vortex induces a quantized supercurrent about the vortex. The energy of large-κ solutions blows up near each vortex which brings about difficulties in a...

متن کامل

Exact solutions of the 2D Ginzburg-Landau equation by the first integral method

The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to non integrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the 2D Ginzburg-Landau equation.

متن کامل

Ginzburg-Landau vortex dynamics with pinning and strong applied currents

We study a mixed heat and Schrödinger Ginzburg-Landau evolution equation on a bounded two-dimensional domain with an electric current applied on the boundary and a pinning potential term. This is meant to model a superconductor subjected to an applied electric current and electromagnetic field and containing impurities. Such a current is expected to set the vortices in motion, while the pinning...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1994