skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Spatiotemporal periodicity of dislocation dynamics in a two-dimensional microfluidic crystal flowing in a tapered channel

Journal Article · · Proceedings of the National Academy of Sciences of the United States of America

When a many-body system is driven away from equilibrium, order can spontaneously emerge in places where disorder might be expected. Here we report an unexpected order in the flow of a concentrated emulsion in a tapered microfluidic channel. The velocity profiles of individual drops in the emulsion show periodic patterns in both space and time. Such periodic patterns appear surprising from both a fluid and a solid mechanics point of view. In particular, when the emulsion is considered as a soft crystal under extrusion, a disordered scenario might be expected based on the stochastic nature of dislocation dynamics in microscopic crystals. However, an orchestrated sequence of dislocation nucleation and migration is observed to give rise to a highly ordered deformation mode. This discovery suggests that nanocrystals can be made to deform more controllably than previously thought. It can also lead to novel flow control and mixing strategies in droplet microfluidics.

Research Organization:
Stanford Univ., CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0010412
OSTI ID:
1328597
Alternate ID(s):
OSTI ID: 1426212
Journal Information:
Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Vol. 113 Journal Issue: 43; ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 29 works
Citation information provided by
Web of Science

References (31)

A history of chemical oscillations and waves journal December 1991
Computer simulation of a two-dimensional soap froth: I. Method and motivation journal September 1983
The art and science of self-assembling molecular machines journal September 1996
Packings of monodisperse emulsions in flat microfluidic channels journal June 2012
Diffusion-accommodated flow and superplasticity journal February 1973
Visualization of Dislocation Dynamics in Colloidal Crystals journal September 2004
Quasi-periodic events in crystal plasticity and the self-organized avalanche oscillator journal October 2012
Dynamic Pattern Formation in a Vesicle-Generating Microfluidic Device journal April 2001
Formation of dispersions using “flow focusing” in microchannels journal January 2003
Structural Rearrangements That Govern Flow in Colloidal Glasses journal December 2007
Long-range orientational order in two-dimensional microfluidic dipoles journal January 2014
Oscillations with uniquely long periods in a microfluidic bubble generator journal December 2005
Dislocation Models of Crystal Grain Boundaries journal May 1950
A new optimizer using particle swarm theory conference January 1995
Soft Lithography journal August 1998
Spontaneous brittle-to-ductile transition in aqueous foam journal May 2012
Flowing Crystals: Nonequilibrium Structure of Foam journal July 2006
Controlling droplet incubation using close-packed plug flow journal June 2011
Dislocation Avalanches, Strain Bursts, and the Problem of Plastic Forming at the Micrometer Scale journal October 2007
Quantitative insight into dislocation nucleation from high-temperature nanoindentation experiments journal July 2005
Scale-Free Intermittent Flow in Crystal Plasticity journal May 2006
Relaxation Time of the Topological T 1 Process in a Two-Dimensional Foam journal November 2006
Break-up of droplets in a concentrated emulsion flowing through a narrow constriction journal January 2014
Complexity, Pattern, and Evolutionary Trade-Offs in Animal Aggregation journal April 1999
Phonons in a one-dimensional microfluidic crystal journal October 2006
Rheology of foams and highly concentrated emulsions journal January 1983
Yielding and Flow of Monodisperse Emulsions journal May 1996
Plastic flow in a disordered bubble raft (an analog of a metallic glass) journal July 1979
Mechanical annealing and source-limited deformation in submicrometre-diameter Ni crystals journal December 2007
Sample Dimensions Influence Strength and Crystal Plasticity journal August 2004
Size dependent brittle to ductile transition in bubble rafts journal June 2011

Similar Records

Dislocation Patterning in Deforming Crystals: Theory, Computational Predictions and Validation (Final Technical Report)
Technical Report · Sat Feb 25 00:00:00 EST 2023 · OSTI ID:1328597

Stress-dependent activation entropy in thermally activated cross-slip of dislocations
Journal Article · Wed Aug 16 00:00:00 EDT 2023 · Proceedings of the National Academy of Sciences of the United States of America · OSTI ID:1328597

Deformed Materials: Towards a Theory of Materials Morphology Dynamics
Technical Report · Wed Jun 28 00:00:00 EDT 2017 · OSTI ID:1328597