Blow-Up Instability in the Mixed State in Type II Superconductors
N.A. TaylanovTheoretical Physics Department, Institute of Applied Physics, National University of Uzbekistan, 700174, Vuzgorodok, Tashkent, Uzbekistan
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.
Article Information
Article History:
Received Date: 28/8/2011
Revision Received Date: 23/9/2011
Acceptance Date: 28/9/2011
Electronic publication date: 18/11/2011
Collection year: 2011
© Ahlberg etal.; Licensee Bentham Open.
open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution Non-Commercial License (
http: //creativecommons.org/licenses/by-nc/3.0/ which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.
Correspondence: 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
Open Peer Review Details |
Manuscript submitted on 28-8-2011 |
Original Manuscript |
Blow-Up Instability in the Mixed State in Type II Superconductors |