Can a Difference In Molecular Weights Cause an Eruption In a Driven Flow of Self-Organizing Immiscible System?

Document Type

Article

Publication Date

1-1-2008

Department

Physics and Astronomy

School

Mathematics and Natural Sciences

Abstract

Driven flow of a non-equilibrium non-conservative (NENC) system with a mixture of immiscible particles (A,B of molecular weight M-A, M-B) exhibits self-organizing patterns (segregation, phase-separation, etc.) in steady-state. The flow response (v) of mass flux density (j) to bias (H), v = partial derivative j/partial derivative H in steady-state is found to be sensitive to molecular weight ratio (alpha = M-B/M-A). While the flux density (j) responds linearly to bias for both components (A, B) at alpha = 1, onset of eruptive response occurs at extreme bias (H -> 1) at alpha > 1 where v -> infinity for heavier (B) and v -> -infinity for lighter (A) constituents. Difference in molecular weights (M-A, M-B) is not only critical to eruptive flow but also in controlling the flow response prior to this crossover.

Publication Title

European Physical Journal B

Volume

61

Issue

1

First Page

83

Last Page

88

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