Existence of Finitely Many Solution Branches and Nested Hysteresis Loops in Ferroelectric Materials

نویسنده

  • Jinhae Park
چکیده

We consider Ginzburg-Landau energy for ferroelectric materials so as to study their structures during the polarization reversal process by an externally applied electric field. We accomplish very useful mathematical results which connect this problem with other situations in material sciences. Taking into account the Neumann boundary condition, we obtain inhomogeneous solutions and study hysteresis effects in the relation between polarization and applied field, which characterizes the ferroelectric phenomenon.

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تاریخ انتشار 2008