Jens Eggers

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Jens Eggers

• How to make small things

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Singularities!
experiment by Shi et al.
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Why singularities?

• Singularities are natures way of making
• small things

• The simple mathematical structure of
  singularities
• permits detailed control

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Printing challenges
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Water drop
experiment by D.H. Peregine et al., JFM 90
computed from 1-d model
simulation from J. Eggers and T.F. Dupont, JFM 94
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Two-fluid breakup Cell division
experiment by Spudich et al.
Cohen, Brenner, Eggers, Nagel, PRL99
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Polymeric fluid (100 ppm of PEO)
1-D simulation
experiment by Ch. Wagner
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Nanojet
Moseler and Landman, Science 2000
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Coalescence
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A sharp cusp
Lorenceau et al, PRL 03
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Pouring a viscous liquid
fluid jet
J. Eggers, PRL 01
E. Lorenceau, D. Quéré, PRL 03
viscous fluid
E. Lorenceau, D. Quéré, J. Eggers, PRL 04
cusp
cusp forms
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Quest for microdrops flow
Cohen et al., Science 01 selective withdrawal
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Small scales bubble tip
experiment by S. Courrech du Pont
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New structure electric jets
experiment by Pantano et al.
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Moving contact lines
experiment by Podgorski et al., PRL 01
orientation of inclined plane
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Contact line deposits
Robert Deegan, PRE 00
pinning-unpinning- pinning
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STM tips
makes nano-sized tips!
Quaade Oddershede EPL 02
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Conclusions

• Singularities occur in a great variety of systems

• Self-similarity is the natural language to
  describe
• singularities.

• Challenge what ways are there to fixate
  singularities?

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One-dimensional approximation
mass conservation
J. Eggers, T. F. Dupont, JFM 94