title: Emergence of spatiotemporal dislocation chains in drifting patterns.
abstract: One-dimensional patterns subjected to counter-propagative flows or speed jumps exhibit a rich and complex spatiotemporal dynamics, which is characterized by the perpetual emergence of spatiotemporal dislocation chains. Using a universal amplitude equation of drifting patterns, we show that this behavior is a result of a combination of a phase instability and an advection process caused by an inhomogeneous drift force. The emergence of spatiotemporal dislocation chains is verified in numerical simulations on an optical feedback system with a non-uniform intensity pump. Experimentally this phenomenon is also observed in a tilted quasi-one-dimensional fluidized shallow granular bed mechanically driven by a harmonic vertical vibration.
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla, 487-3 Santiago, Chile.
authors.forename: M G
authors.initials: MG
authors.lastname: Clerc
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla, 487-3 Santiago, Chile.
authors.forename: C
authors.initials: C
authors.lastname: Falcón
authors.affiliation: Instituto de Fisica, Pontificia Universidad Catlica de Valparaso Avenida Brasil, 2950 Valparaso, Chile.
authors.forename: M A
authors.initials: MA
authors.lastname: García-Ñustes
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla, 487-3 Santiago, Chile.
authors.forename: V
authors.initials: V
authors.lastname: Odent
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla, 487-3 Santiago, Chile.
authors.forename: I
authors.initials: I
authors.lastname: Ortega