Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations

Details Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations

2009-06-19

arxiv.org/abs/0906.3611v2

J. Chem. Phys. 131 104903 (2009)

Physics

Condensed Matter

Soft Condensed Matter

25 pages, 17 figures, submitted to Journal of chemical physics;

Scientific paper

A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport properties are derived within the framework of a continuum free-energy formulation, and checked against numerical simulations. Due to the competition between short-range inter-species repulsion and mid-range intra-species attraction, the model is shown to give rise to a very rich configurational dynamics of the density field, exhibiting numerous features of soft-flowing materials, such as long-time relaxation due to caging effects, enhanced viscosity and structural arrest, ageing under moderate shear and shear-thinning flow above a critical shear threshold.

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