Entropy in Self-Assembly - Lecture 1

Entropy in Self-Assembly - Lecture 1

International Centre for Theoretical Sciences via YouTube Direct link

Which one is more disordered

6 of 42

6 of 42

Which one is more disordered

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Entropy in Self-Assembly - Lecture 1

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  1. 1 INTERNATIONAL
  2. 2 Francesco Sciortino
  3. 3 Outline
  4. 4 Translational entropy Rotational Mixing entropy Packing entropy entropy entropy
  5. 5 Phase Transition for a Hard Sphere System
  6. 6 Which one is more disordered
  7. 7 Hard Spheres HS
  8. 8 Sterically stabilized PMMA particles polydispersity 5-10 %
  9. 9 At constant V, we need to maximize the entropy
  10. 10 Which one is more disordered
  11. 11 A proxy to translational Entropy...
  12. 12 Stable Crystal
  13. 13 Orientation Entropy
  14. 14 Isotropic-Nematic Transition Onsager Theory
  15. 15 Dashed -Isotropic Full - Nematic
  16. 16 In the case of the nematic, there is an additional contribution equal to
  17. 17 Nematic to...
  18. 18 How do we calculate the fluid entropy numerically
  19. 19 Entropy and flexibility translation+rotation
  20. 20 Example of patchy particles
  21. 21 DNA constructs: Limited-valence patchy particles
  22. 22 DNA-coated patchy colloids
  23. 23 Entropy decides the most stable phase exactly as in HS!
  24. 24 Key elements for liquid stability at T=0 K: ultrastable liquids !
  25. 25 Crystal Selection by Entropy
  26. 26 S=LIL2
  27. 27 Predictive Self-Assembly of Polyhedral into Complex Structures
  28. 28 Entropic Attraction Large HS in a bath of small HS
  29. 29 Depletion interaction
  30. 30 Let's assume we have A large HS and M small HS.
  31. 31 AT Oc Op
  32. 32 M13M [V - 2Vo + Voverlap R JM _ V -2VoM
  33. 33 Same story from a different perspective
  34. 34 Real hard-spheres
  35. 35 Visualization of depletion forces
  36. 36 Vol 453| 22 May 2008 | doi:10.1038/nature06931
  37. 37 Depletion: shape and roughness
  38. 38 Osmotically driven shape-dependent colloidal separations
  39. 39 Another example
  40. 40 Lock and key colloids
  41. 41 Surface roughness directed self-assembly of patchy particles into colloidal micelles
  42. 42 Playing with the properties of the co-solute

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