Subcritical-supercritical bifurcation crossover in directional solidification

Journal Article · Wed Nov 30 23:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.50.R4286· OSTI ID:6784284

Liu, D; Williams, L; Cummins, H ^[1]

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1. Department of Physics, City College of the City University of New York, New York, New York 10031 (United States)

The Mullins-Sekerka planar-cellular instability in directional solidification should be subcritical when the partition coefficient [ital k][lt]0.45 and latent heat is ignored. However, Merchant and Davis [Phys. Rev. Lett. [bold 63], 573 (1989)] predicted that as the solute concentration is reduced, the increasingly important thermal diffusion field would lead to a crossover from a subcritical to a supercritical bifurcation. We have performed directional solidification experiments on a series of succinonitrile samples containing different concentrations of Coumarin 152, and have found preliminary evidence for the predicted crossover at a concentration [ital C][sub [ital t]] [similar to] 0.1%.

• DOE Contract Number: FG02-84ER45132
• OSTI ID: 6784284
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 50:6; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOY SYSTEMS
ANTICOAGULANTS
BINARY ALLOY SYSTEMS
COUMARIN
DRUGS
ESTERS
HEMATOLOGIC AGENTS
HETEROCYCLIC COMPOUNDS
INSTABILITY
LACTONES
MORPHOLOGICAL CHANGES
ORGANIC COMPOUNDS
ORGANIC OXYGEN COMPOUNDS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
PYRANS
SOLIDIFICATION
THERMAL DIFFUSIVITY
THERMODYNAMIC PROPERTIES