Can a Difference In Molecular Weights Cause an Eruption In a Driven Flow of Self-Organizing Immiscible System?
Physics and Astronomy
Mathematics and Natural Sciences
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.
European Physical Journal B
Pandey, R. B.,
(2008). Can a Difference In Molecular Weights Cause an Eruption In a Driven Flow of Self-Organizing Immiscible System?. European Physical Journal B, 61(1), 83-88.
Available at: https://aquila.usm.edu/fac_pubs/1522