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The Dynamics of Quantized Vortices of Ginzburg-Landau Equation Based on Particle Interaction

 

Speaker: Dr. XU, Zhiguo(许志国)
Beijing Computational Science Research Center
Abstract: Ginzburg-Landau equation (GLE) is well known for modeling superconductivity. In this talk, I will introduce the dynamical of quantized vortices of GLE based on particle interaction. I just consider the reduced dynamical laws for time evolution of quantized vortex centers in GLE and show some results of the nonlinear ordinary differential equation (ODE). First, two non-autonomous first integrals of ODE will be given.  According to these first integrals, I discuss the collision of the vortices. Second, I show the dynamical of three vortices completely. Finally, I present several conjecture.
Date&Time: Mar. 9, 2012  14:30 - 16:45 
Location: 606 Conference Room

 


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