Spatiotemporal behavior in aφ4model of lattice dynamics

Afshin Montakhab, Jeremy Levy
1997 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
A simple phenomenological model of lattice dynamics in ferroelectric materials has the ingredients of a spatially extended, nonlinear driven system. We study the dynamics of this model in the presence of spatially varying ultrafast optical pulses. We find that for sufficiently large amplitudes, the spatial gradient in the pulse creates stable domain walls separating domains of opposite orientations. The dynamics of these domain walls under repeated pulses is investigated. Bifurcation diagrams
more » ... urcation diagrams in one, two, and three dimensions are obtained, exhibiting both periodic and complex spatiotemporal behavior. The complex behavior is identified as weakly chaotic associated with algebraic growth of initial small perturbations.
doi:10.1103/physreve.56.6082 fatcat:cuofqgu6d5hw3mvhkvw5z5rry4