Topological constraints in a microfluidic platform

Liquid Crystals

Volumn 41, Issue 3, 2014, Pages 290-301

  Sengupta, Anupam ^a  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

colloids; guided transport; liquid crystals; microfluidics; surface anchoring; topological defects

Indexed keywords

EID: 84897584275     PISSN: 02678292     EISSN: 13665855     Source Type: Journal    
DOI: 10.1080/02678292.2013.807939     Document Type: Article

References (55)

1. Meldrum DR, Holl MR. Microscale bioanalytical systems. Science. 2002;297:1197-1198.
2. Glückstad J. Microfluidics: sorting particles with light. Nat Mat. 2004;3:9-10.
3. Subramaniam AB, Abkarian M, Stone HA. Controlled assembly of jammed colloidal shells on fluid droplets. Nat Mat. 2005;4:553-556.
4. Terray A, Oakey J, Marr DWM. Microfluidic control using colloidal devices. Science. 2002;296:1841-1844.
5. Gunda NSK, Bera B, Karadimitriou NK, Mitra SK, Hassanizadeh SM. Reservoir-on-a-chip (ROC): a new paradigm in reservoir engineering. Lab Chip. 2011;11:3785-3792.
6. Fuerstman MJ, Garstecki P, Whitesides GM. Coding/decoding and reversibility of droplet trains in microfluidic networks. Science. 2007;315:828-832.
7. Douglas SM, Bachelet I, Church GM. A logic-gated nanorobot for targeted transport of molecular payloads. Science. 2012;335:831-834.
8. Speer D, Eichhorn R, Reimann P. Exploiting lattice potentials for sorting chiral particles. Phys Rev Lett. 2010;105:090602.
9. Seemann R, Brinkmann M, Pfohl T, Herminghaus S. Droplet based microfluidics. Rep Prog Phys. 2011;75:016601.
10. Lee SH, Choi S-E, Heinz AJ, Park W, Han S, Jung Y, Kwon S. Active guidance of 3D microstructures. Small. 2010;6:2668-2672.
11. Tierno P, Sagués F, Johansen TH, Fischer TM. Colloidal transport on magnetic garnet films. Phys Chem Chem Phys. 2009;11:9615-9625.
12. Prakash M, Gershenfel N. Microfluidic bubble logic. Science. 2007;315:832-835.
13. Huh D, Bahng JH, Ling Y, Wei H-H, Kripfgans OD, Fowlkes JB, Grotberg JB, Takayama S. Gravity-driven microfluidic particle sorting device with hydrodynamic separation amplification. Anal Chem. 2007;79:1369-1376.
14. Baret JC, Miller OJ, Taly V, Ryckelynck M, El-Harrak A, Frenz L, Rick C, Samuels ML, Hutchison JB, Agresti JJ, Link DR, Weitz DA, Griffiths AD. Fluorescence-activated droplet sorting (FADS): efficient microfluidic cell sorting based on enzymatic activity. Lab Chip. 2009;9:1850-1858.
15. de Gennes PG, Prost J. The Physics of Liquid Crystals. Oxford: Oxford Science Publications; 1993.
16. Leslie FM. Some constitutive equations for liquid crystals. Arch Ration Mech Anal. 1968;28:265-283.
17. Stark H. Physics of colloidal dispersions in nematic liquid crystals. Phys Rep. 2001;351:387-474.
18. Vanbrabant PJM, Beeckman J, Neyts K, James R, Fernandez FA. Effect of material properties on reverse flow in nematic liquid crystal devices with homeotropic alignment. Appl Phys Lett. 2009;95:151108.
19. Toth G, Denniston C, Yeomans J. Hydrodynamics of topological defects in nematic liquid crystals. Phys Rev Lett. 2002;88:105504.
20. Sengupta A. Topological microfluidics: nematic liquid crystals and nematic colloids in microfluidic environment. Heidelberg: Springer; 2013.
21. Whitesides GM. The origins and the future of microfluidics. Nature. 2002;442:368-373.
22. Sengupta A, Schulz B, Ouskova E, Bahr Ch. Functionalization of microfluidic devices for investigation of liquid crystal flows. Microfluid. Nanofluid. 2012;13:941-955.
23. Price AD, Schwartz DK. Anchoring of a nematic liquid crystal on a wettability gradient. Langmuir. 2006;22:9753-9759.
24. Muševič I, Škarabot M, Tkaleč U, Ravnik M, Žumer S. Two-dimensional nematic colloidal crystals self assembled by topological defects. Science. 2006;313:954-958.
25. Brake JM, Mezera AD, Abbott NL. Effect of surfactant structure on the orientation of liquid crystals at aqueous-liquid crystal interfaces. Langmuir. 2003;19:6436-6442.
26. Poulin P, Stark H, Lubensky TC, Weitz DA. Novel colloidal interactions in anisotropic fluids. Science. 1997;275:1770-1773.
27. Cladis PE, van Saarloos W, Finn PL, Kortan AR. Dynamics of line defects in nematic liquid crystals. Phys Rev Lett. 1987;58:222-225.
28. Ignés-Mullol J, Baudry J, Oswald P. Formation and distribution of point defects on a disclination line near a free nematic interface. Phys Rev E. 2001;63:031701.
29. Holyst R, Oswald P. Annihilation of point defects on a line. Phys Rev E. 2002;65:041711.
30. Tadapatri P, Krishnamurthy KS. Shear deformation and division of cylindrical walls in free-standing nematic films under high electric fields. J Phys Chem B. 2008;112:13509-13517.
31. Meyer RB. On the existence of even indexed disclinations in nematic liquid crystals. Phil Mag. 1973;27:405-424.
32. Williams C, Bouligand Y. Fils et disinclinaisons dans un nématique en tube capillaire. J Phys. (Paris). 1974;35:589-595.
33. de Luca G, Rey AD. Point and ring defects in nematics under capillary confinement. J Chem Phys. 2007;127:104902.
34. Yi Y, Maclennan JE, Clark NA. Cooperative liquid-crystal alignment generated by overlaid topography. Phys Rev E. 2011;83:051708.
35. Lopez-Leon T, Koning V, Devaiah KBS, Vitelli V, Fernandez-Nieves A. Frustrated nematic order in spherical geometries. Nature Phys. 2011;7:391-394.
36. Tomar V, Hernández SI, Abbott NL, Hernández-Ortiz JP, de Pablo JJ. Morphological transitions in liquid crystal nanodroplets. Soft Matter. 2012;8:8679-8689.
37. Matthias H, Schweizer SL, Wehrspohn RB, Kitzerow HS. Liquid crystal director fields in micropores of photonic crystals. J Opt A. 2007;9:S389.
38. Humar M, Ravnik M, Pajk S, Muševič I. Electrically tunable liquid crystal optical microresonators. Nature Phot. 2009;3:595-600.
39. Araki T, Buscaglia M, Bellini T, Tanaka H. Memory and topological frustration in nematic liquid crystals confined in porous materials. Nature Mater. 2011;10:303-309.
40. Sengupta A, Tkaleč U, Ravnik M, Yeomans J, Bahr Ch, Herminghaus S. Liquid crystal microfluidics for tunable flow shaping. Phys Rev Lett. 2013;110:048303.
41. Sengupta A, Pieper C, Enderlein J, Bahr Ch, Herminghaus S. Flow of a nematogen past a cylindrical micro-pillar. Soft Matter. 2013;9:1937-1946.
42. Ondris-Crawford R, Boyko EP, Wagner BG, Erdmann JH, Žumer S, Doane JW. Microscope textures of nematic droplets in polymer dispersed liquid crystals. J Appl Phys. 1991;69:6380-6386.
43. Vitelli V, Turner AM. Anomalous coupling between topological defects and curvature. Phys Rev Lett. 2004;93:215301 and references therein.
44. Kléman M. Points, lines and walls: in liquid crystals, magnetic systems and various ordered media.New York: Wiley-Interscience; 1983.
45. Oswald P, Pieranski P. Nematic and cholesteric liquid crystals. London: Taylor & Francis; 2005.
46. Dafermos CM. Disclinations in liquid crystals. Quart J Mech Appl Math. 1970;23:549-564.
47. Ericksen JL. Liquid crystals and ordered fluids. New York: Plenum Press; 1970. Singular solutions in liquid crystal theory; p. 181-192.
48. Ryskin G, Kremenetsky M. Drag force on a line defect moving through an otherwise undisturbed field: disclination line in a nematic liquid crystal. Phys Rev Lett. 1991;67:1574-1577.
49. Imura H, Okano K. Friction coefficient for a moving disinclination in a nematic liquid crystal. Phys Lett. 1973;42A:403-404.
50. Sengupta A, Bahr Ch, Herminghaus S. Topological microfluidics for flexible micro-cargo concepts. Soft Matter. 2013; DOI: 10.1039/C3SM50677K.
51. Chung SE, Park W, Shin S, Lee SA, Kwon S. Guided and fluidic self-assembly of microstructures using railed microfluidic channels. Nat Mater. 2008;7:581-587.
52. Abbyad P, Dangla R, Alexandrou A, Baroud CN. Rails and anchors: guiding and trapping droplet microreactors in two dimensions. Lab Chip. 2011;11:813-821.
53. Yaroshchuk O, Reznikov Y. Photoalignment of liquid crystals: basics and current trends. J Mater Chem. 2012;22:286-300.
54. Pieranski P, Guyon E. Shear flow induced transition in nematics. Solid St Comm. 1973;13:435-437.
55. Pieranski P, Guyon E. Transverse effects in nematic flows. Phys Lett. 1974;49A:237-238.