The Open Condensed Matter Physics Journal

2011, 4 : 1-3
Published online 2011 November 18. DOI: 10.2174/1874186X01104010001
Publisher ID: TOCMPJ-4-1

RESEARCH ARTICLE
Blow-Up Instability in the Mixed State in Type II Superconductors

N.A. Taylanov
Theoretical Physics Department, Institute of Applied Physics, National University of Uzbekistan, 700174, Vuzgorodok, Tashkent, Uzbekistan

Address correspondence to this author at the Theoretical Physics Department, Institute of Applied Physics, National University of Uzbekistan, 700174, Vuzgorodok, Tashkent, Uzbekistan; Tel: +9-98712 461-573; Fax: +9-9871 144-32-53; E-mail:n_taylanov@rambler.ru

ABSTRACT

The spatial and temporal evolution of small perturbations of the temperature and electromagnetic field for the simplest geometry, i.e., in a superconducting slab placed in a parallel magnetic field is considered. The obtained solution solution describes an blow-up-type instability in the superconductor sample. It remains localized within the limited area x < L* / 2 with increasing infinitively of time.

Keywords:

Nonlinear equations, thermal and electromagnetic perturbations, critical state, flux creep.