The effect of shear in self-assembled fluids: The large-N limit

N. P. Rapapa; N. B. Maliehe

doi:10.1140/epjb/e2005-00016-8

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Condensed Matter and Complex Systems

Eur. Phys. J. B 42, 567-571 (2004)
https://doi.org/10.1140/epjb/e2005-00016-8

The effect of shear in self-assembled fluids: The large-N limit

N. P. Rapapa¹^,2^a and N. B. Maliehe¹

¹ National University of Lesotho, P.O. Roma 180 Lesotho South Africa
² The Abdus Salam International Centre for Theoretical Physics, P.O. 586, Strada Costiera 11, Trieste, Italy

Corresponding author: ^a np.rapapa@nul.ls

Received: 1 September 2004
Published online: 18 January 2005

Abstract

The dynamics of self-assembled fluids subjected to a uniform shear are solved for large-N component model of microemulsions. The dynamical structure factor $S({\vec{k}}, t)$ is studied for quenches from an uncorrelated high temperature state into the Lifshitz line within the microemulsion phase. The structure factor shows multiscaling behavior with characteristic length scales $(t^7/ \ln t)^{1/6}$ in the flow direction and $(t/ \ln t)^{1/6}$ in directions perpendicular to the flow. The structure factor shows two parallel ridges in the shear-flow plane.