M. Cross and P. Hohenberg, “Pattern Formation outside of Equilibrium,” Reviews of Modern Physics, Vol. 65, No. 3, 1993, pp. 851-1112. doi:10.1103/RevModPhys.65.851
has been cited by the following article:
TITLE: Time-Dependent Ferrofluid Dynamics in Symmetry Breaking Transverse
AUTHORS: Sebastian Altmeyer
KEYWORDS: Taylor-Couette Flow; Ferrofluids; Reynolds Number; Symmetry Breaking; Rotating System and Boundary Layer
JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.3 No.2, June 26, 2013
ABSTRACT: We investigate the Taylor-Couette flow of a rotating ferrofluid under the influence of symmetry breaking transverse magnetic field in counter-rotating small-aspect-ratio setup. We find only changing the magnetic field strength can drive the dynamics from time-periodic limit-cycle solution to time-independent steady fixed-point solution and vice versa. Thereby both solutions exist in symmetry related offering mode-two symmetry with left-or right-winding characteristics due to finite transverse magnetic field. Furthermore the time-periodic limit-cycle solutions offer alternately stroboscoping both helical left-and right-winding contributions of mode-two symmetry. The Navier-Stokes equations are solved with a second order time splitting method combined with spatial discretization of hybrid finite difference and Galerkin method.