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Phys. Rev. Lett. 86, 3184–3187 (2001)

Prediction of Chaotic Dynamics in Sheared Liquid Crystalline Polymers

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M. Grosso* and R. Keunings
CESAME Unité de Mécanique Appliquée, Université Catholique de Louvain, Avenue G. Lemaitre 4-6, B-1348, Louvain La-Neuve, Belgium

S. Crescitelli
Dipartimento di Ingegneria Chimica, Università Federico II di Napoli, Piazzale Tecchio 80, I-80125, Napoli, Italia

P. L. Maffettone
Dipartimento di Scienza dei Materiali ed Ingegneria Chimica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italia

Received 3 November 2000; published in the issue dated 2 April 2001

A rheological model for rodlike polymers in the nematic liquid-crystalline phase is analyzed to characterize irregular dynamical response under pure shear flows. The model is studied with a continuation approach, and a period doubling scenario is detected. Time series generated via simulation are studied with nonlinear analysis tools to prove the existence of chaotic regimes.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.86.3184
DOI:
10.1103/PhysRevLett.86.3184
PACS:
83.80.Tc

*Present address: Dipartimento di Ingegneria Chimica, Università Federico II di Napoli, Piazzale Tecchio 80, I-80125, Napoli, Italia.

Corresponding author.