Late-stage phase separation and hydrodynamic flow in a binary liquid mixture
Abstract
Light-scattering measurements were made in a binary mixture in the late stage of spinodal decomposition, when gravity has become important. We observe macroscopic flow in the mixture, following which the scattering I(k,t) falls as ${k}^{\mathrm{\ensuremath{-}}4}$. This implies that the scattering is mainly from surfaces between growing domains. The measurements reveal an unexpectedly large rate of disappearance of the surface area per unit volume in the phase-separating system. The effect is probably related to a gravity-driven instability which gives rise to the flow and which was also investigated.
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When the broken symmetry is continuous a wealth of fascinating non-perturbative topological excitations emerge, such as vortices, monopoles, and textures [34].
“When the broken symmetry is continuous a wealth of fascinating non-perturbative topological excitations emerge, such as vortices, monopoles, and textures[34].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [34]
Cites
Small-Angle Scattering of X-Rays
(1956) · AIBS Bulletin · doi:10.1093/aibsbulletin/6.1.23-f · Cited by 3,850 · see citing works
Scattering by an Inhomogeneous Solid. II. The Correlation Function and Its Application
Debye, P. J. W., Anderson, H. R., & Brumberger, H. (1957) · Journal of Applied Physics · doi:10.1063/1.1722830 · Cited by 1,457 · see citing works
Late stages of spinodal decomposition in binary mixtures
Siggia, E. D. (1979) · Physical Review A · doi:10.1103/physreva.20.595 · Cited by 1,294 · see citing works
Phase Transitions and Critical Phenomena
Lindgård, P.-A. (1978) · Topics in current physics · doi:10.1007/978-3-642-81236-1_6 · Cited by 683 · see citing works
Sedimentation in a dilute polydisperse system of interacting spheres. Part 2. Numerical results
Batchelor, G. K., & Wen, C.-S. (1982) · Journal of Fluid Mechanics · doi:10.1017/s0022112082002602 · Cited by 276 · see citing works
Evidence for the Influence of Hydrodynamics in a Phase-Separating Fluid
Kim, M. W., Schwartz, A. J., & Goldburg, W. I. (1978) · Physical Review Letters · doi:10.1103/physrevlett.41.657 · Cited by 30 · see citing works
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Ratke, L., & Diefenbach, S. (1995) · Materials Science and Engineering R Reports · doi:10.1016/0927-796x(95)00180-8 · Cited by 388 · see citing works
Phase Transitions in the Early and Present Universe
Boyanovsky, D., de Vega, H. J., & Schwarz, D. J. (2006) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.56.080805.140539 · Cited by 146 · see citing works
Convection-Induced Patterns in Phase-Separating Polymeric Fluids
Mitov, Z., & Kumacheva, E. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3427 · Cited by 138 · see citing works
Dynamics of phase separation of binary fluids
Ma, W.-J., Maritan, A., Banavar, J. R., & Koplik, J. (1992) · Physical Review A · doi:10.1103/physreva.45.r5347 · Cited by 73 · see citing works
Experimental study and model simulation of spinodal decomposition in a binary mixture under shear
Chan, C. K., Perrot, F., & Beysens, D. (1991) · Physical Review A · doi:10.1103/physreva.43.1826 · Cited by 66 · see citing works
Self-citationLäuger, J., Laubner, C., & Gronski, W. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.3576 · Cited by 59 · see citing works
Effects of Hydrodynamics on Growth: Spinodal Decomposition under Uniform Shear Flow
Chan, C. K., Perrot, F., & Beysens, D. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.412 · Cited by 57 · see citing works
Self-citationBeysens, D., Guénoun, P., & Perrot, F. (1988) · Physical Review A · doi:10.1103/physreva.38.4173 · Cited by 53 · see citing works
Tunable ordered droplets induced by convection in phase-separating P2VP/PS blend film
Cui, L., Wang, H., Ding, Y., & Han, Y. (2004) · Polymer · doi:10.1016/j.polymer.2004.09.065 · Cited by 35 · see citing works
Spinodal decomposition and nucleation in the presence of flow
Ōnuki, A. (1989) · International Journal of Thermophysics · doi:10.1007/bf01133527 · Cited by 31 · see citing works
Coexistence Curve of the Ionic Binary Mixture Ethylammonium Nitrate−n-Octanol: Critical Properties
Bonetti, M., Oleinikova, A., & Bervillier, C. (1997) · The Journal of Physical Chemistry B · doi:10.1021/jp962316s · Cited by 28 · see citing works
Experimental studies of the rheology of a simple liquid mixture during phase separation
Krall, A. H., Sengers, J. V., & Hamano, K. (1993) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.48.357 · Cited by 28 · see citing works
Phase separation of a critical binary mixture subjected to a temperature gradient
Assenheimer, M., Khaykovich, B., & Steinberg, V. (1994) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(94)00076-x · Cited by 26 · see citing works
Phase separation in binary fluid mixtures with continuously ramped temperature
Cates, M. E., Vollmer, J., Wagner, A., & Vollmer, D. (2003) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2002.1165 · Cited by 26 · see citing works
A Lattice Boltzmann Study of Phase Separation in Liquid-Vapor Systems with Gravity
Cristea, A., Gonnella, G., Lamura, A., & Sofonea, V. (2009) · Communications in Computational Physics · doi:10.4208/cicp.2009.08.205 · Cited by 24 · see citing works
“Gravity becomes relevant when heavy domains resting on top of light ones become gravitationally unstable, thus accelerating the domain growth [5].”
BackgroundPhoretic dynamics of colloids in a phase separating critical liquid mixture
Zinn, T., Sharpnack, L., & Narayanan, T. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033177 · Cited by 23 · see citing works
“Since, both SP and JP systems display a similar behavior for horizontal and vertical dynamics, the enhancement of dynamics is primarily contributed by the concentration fluctuations and hydrodynamic flow associated with the late stage of the spinodal phase separation [27,31].”
BackgroundInfluentialGrowth of monodisperse mesoscopic metal-oxide colloids under constant monomer supply
野沢, 耕., Delville, M., Ushiki, H., Panizza, P., & DELVILLE, J.-P. (2005) · Physical Review E · doi:10.1103/physreve.72.011404 · Cited by 23 · see citing works
Modelling of phase separation in liquids with a miscibility gap
Ratke, L., & Alkemper, J. (1995) · Advances in Colloid and Interface Science · doi:10.1016/0001-8686(95)00248-o · Cited by 18 · see citing works
Viscosity of a phase-separating critical mixture
Krall, A. H., Sengers, J. V., & Hamano, K. (1989) · International Journal of Thermophysics · doi:10.1007/bf01133528 · Cited by 18 · see citing works
Phase Separation in Binary Fluid Mixtures with Continuously Ramped TemperaturePreprint
Cates, M. E., Vollmer, J., Wagner, A. J., & Vollmer, D. (2003) · Cited by 17 · see citing works
Late-stage phase separation and sedimentation in a binary liquid mixture
Cau, F., & Lacelle, S. (1993) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.47.1429 · Cited by 15 · see citing works
Gronski, W., Läuger, J., & Laubner, C. (1996) · Journal of Molecular Structure · doi:10.1016/s0022-2860(96)09263-0 · Cited by 14 · see citing works
Percolation of Phase-Separating Polymer Mixtures
Hsu, D., Chou, C., Chuang, C.-Y., & Hong, P. (2015) · ACS Macro Letters · doi:10.1021/acsmacrolett.5b00692 · Cited by 11 · see citing works
Scaling Behaviour in the Demixing of a Binary-Liquid Mixture under Gravity
To, K., & Chan, C. K. (1992) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/19/4/011 · Cited by 11 · see citing works
Self-citationEarly sedimentation and crossover kinetics in an off-critical phase-separating liquid mixture
Colombani, J., & Bert, J. (2004) · Physical Review E · doi:10.1103/physreve.69.011402 · Cited by 10 · see citing works
Gravitational Effects on Structure Development in Quenched Complex Fluids
Badalassi, V., Ceniceros, H. D., & Banerjee, S. (2004) · Annals of the New York Academy of Sciences · doi:10.1196/annals.1324.031 · Cited by 8 · see citing works
“K EYWORDS : Cahn–Hilliard equation; Navier–Stokes equations; Model H; phase separation under gravity”
Scattering from interfaces and its finite curvature corrections
Ōnuki, A. (1992) · Physical Review A · doi:10.1103/physreva.45.r3384 · Cited by 7 · see citing works
Nano-structure computation with coupled momentum phase ordering kinetics models
Badalassi, V., & Banerjee, S. (2005) · Nuclear Engineering and Design · doi:10.1016/j.nucengdes.2005.02.008 · Cited by 6 · see citing works
Turbulent binary fluids: A shell model study
Jensen, M. H., & Olesen, P. (1998) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(97)80014-0 · Cited by 5 · see citing works
Hydrodynamics, growth and interfaces
Perrot, F., Baumberger, T., Chan, C. K., & Beysens, D. (1991) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(91)90313-2 · Cited by 5 · see citing works
Self-citationBinder, K., & Fratzl, P. (2013) · Materials Science and Technology · doi:10.1002/9783527603978.mst0389 · Cited by 3 · see citing works
Dynamics of Demixing of Binary Liquid Mixtures in an Inclined Cylinder
To, K., & Chan, C. K. (1993) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/24/5/008 · Cited by 2 · see citing works
Self-citation7 Turbulent Binary Fluids: A Shell Model Study.Preprint
Jensen, M. H., & Olesen, P. (1998) · Cited by 2 · see citing works
Morphology and dynamics of a separating immiscible binary liquid mixture under gravity
To, K., & Chan, C. K. (1994) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(94)90509-6 · Cited by 1 · see citing works
Self-citationYu, H., Lin, W.-C., & Hong, P. (2025) · Polymer · doi:10.1016/j.polymer.2025.128387
- Authors
- Chan, C. K., & Goldburg, W. I.
- Affiliations
- University of Pittsburgh (US)
- ORCID
- Chan, C. K.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-02-16
- Volume
- 58
- Issue
- 7
- Pages
- 674-677
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2023748140
- Cited by
- 36
- References
- 6
- Citations by year
- 2025: 1 · 2020: 1 · 2015: 1 · 2014: 1 · 2013: 1
- FWCI
- 1.87
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Solidification and crystal growth phenomena
- Physical Sciences › Materials Science › Materials Chemistry › Material Dynamics and Properties
- Physical Sciences › Materials Science › Polymers and Plastics › Polymer crystallization and properties
- Keywords
- spinodal decomposition, phase separation, binary liquid mixtures, hydrodynamic flow, gravitational instability, light scattering, domain growth
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