1. Jens Eggers How to make small things

2. Singularities! experiment by Shi et al. very small scales created here

3. Singularities are nature’s way of making small things Why singularities? The simple mathematical structure of singularities permits detailed control

4. Printing challenges O. Basaran problem: satellites satellite “engineer’s dream”

5. experiment by D.H. Peregine et al., JFM `90 computed from 1-d model simulation from J. Eggers and T.F. Dupont, JFM 94 Water drop

6. experiment by Spudich et al. Two-fluid breakup: Cell division Cohen, Brenner, Eggers, Nagel, PRL’99

7. experiment by Ch. Wagner 1-D simulation Polymeric fluid (100 ppm of PEO)

8. Moseler and Landman, Science 2000 Nanojet symmetric pinching! J. Eggers, PRL `02

9. sphere Coalescence motion driven by surface diffusion small enclosure

10. A sharp cusp Lorenceau et al, PRL ‘03 V fluid, air, Ca

11. viscous fluid fluid jet cusp forms Pouring a viscous liquid E. Lorenceau, D. Quéré, J. Eggers, PRL ‘04 cusp J. Eggers, PRL ‘01 E. Lorenceau, D. Quéré, PRL ‘03

12. Quest for microdrops: flow Cohen et al., Science `01: selective withdrawal

13. Small scales: bubble tip Increase flow rate tip radius (microns) flow rate (g/s) bubble drain 0.5mm experiment by S. Courrech du Pont

14. experiment by Pantano et al. New structure: electric jets Taylor cone jettiny droplets

15. Moving contact lines experiment by Podgorski et al., PRL `01 orientation of inclined plane advancing contact line receding contact line

16. Contact line deposits Robert Deegan, PRE `00 evaporation deposit pinning-unpinning- pinning…

17. STM tips Quaade + Oddershede EPL `02 log(tipsize) log(t c -t) makes nano-sized tips!

18. Singularities occur in a great variety of systems Conclusions Self-similarity is the natural language to describe singularities. Challenge: what ways are there to fixate singularities?

19. mass conservation inertia surf. tens. viscosity J. Eggers, T. F. Dupont, JFM `94 Laplace Pressure One-dimensional approximation