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Convective and Absolute Eckhaus Instability Leading to Modulated Waves in a Finite Box

Nicolas Garnier 1 Arnaud Chiffaudel 1 François Daviaud 1, 2
1 SPEC - UMR3680 - Service de physique de l'état condensé
2 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : We report experimental study of the secondary modulational instability of a one-dimensional nonlinear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatio-temporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatio-temporal defects control the global mode structure.
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Nicolas Garnier, Arnaud Chiffaudel, François Daviaud. Convective and Absolute Eckhaus Instability Leading to Modulated Waves in a Finite Box. Physical Review Letters, American Physical Society, 2002, 88, pp.134501. ⟨10.1103/PhysRevLett.88.134501⟩. ⟨cea-01373861⟩

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