Asymptotics of Maxwell–Chern–Simons vortices on the unit disc

Article type: Research Article

Authors: Han, Jongmin | Kim, Namkwon^;

Affiliations: Department of Mathematics, Hankuk University of Foreign Studies, 89 Wangsan-ri Mohyun, Yongin, Kyounggi-do 449-791, Republic of Korea | Department of Mathematics, Chosun University, Kwangju, 501-759, Republic of Korea E-mail: [email protected]

Note: [] Corresponding author.

Abstract: In this paper we are concerned with the asymptotic behavior of the relativistic Maxwell–Chern–Simons (MCS) vortices on the unit disc. We establish the existence of a radial solution of the static MCS equations which is a minimizer of the MCS functional in the class of radial functions, and derive the asymptotic limit of the radial solution. As a consequence, we obtain a set of elliptic linear equations which is a generalization of the London equation for the Ginzburg–Landau model.

Keywords: Maxwell–Chern–Simons Higgs model, asymptotics, London equation

Journal: Asymptotic Analysis, vol. 52, no. 3-4, pp. 207-225, 2007