메뉴 건너뛰기




Volumn 5, Issue , 2014, Pages

Topological zoo of free-standing knots in confined chiral nematic fluids

Author keywords

[No Author keywords available]

Indexed keywords

COLLOID; CRYSTAL PROPERTY; DROPLET; FLUID MECHANICS; LIGHT EFFECT; LIQUID; TOPOLOGY;

EID: 84901025387     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms4057     Document Type: Article
Times cited : (100)

References (53)
  • 2
    • 0030920218 scopus 로고    scopus 로고
    • Stable knot-like structures in classical field theory
    • Faddeev, L. & Niemi, A. J. Stable knot-like structures in classical field theory. Nature 387, 58-61 (1997).
    • (1997) Nature , vol.387 , pp. 58-61
    • Faddeev, L.1    Niemi, A.J.2
  • 3
    • 0017160740 scopus 로고
    • Knotted single-stranded DNA rings: A novel topological isomer of circular single-stranded DNA formed by treatment with Escherichia coli protein
    • Liu, L. F., Depew, R. E. & Wang, J. C. Knotted single-stranded DNA rings: A novel topological isomer of circular single-stranded DNA formed by treatment with Escherichia coli protein. J. Mol. Biol. 106, 439-452 (1976).
    • (1976) J. Mol. Biol. , vol.106 , pp. 439-452
    • Liu, L.F.1    Depew, R.E.2    Wang, J.C.3
  • 4
    • 77957915679 scopus 로고    scopus 로고
    • Folding and cutting DNA into reconfigurable topological nanostructures
    • Han, D., Pal, S., Liu, Y., & Yan, H. Folding and cutting DNA into reconfigurable topological nanostructures. Nat. Nanotechnol. 5, 712-717 (2010).
    • (2010) Nat. Nanotechnol. , vol.5 , pp. 712-717
    • Han, D.1    Pal, S.2    Liu, Y.3    Yan, H.4
  • 5
    • 33749347406 scopus 로고    scopus 로고
    • Intricate Knots in Proteins: Function and Evolution
    • Virnau, P., Mirny, L. A. & Kardar M. Intricate Knots in Proteins: Function and Evolution. PLoS Comput. Biol. 2, e122 (2006).
    • (2006) PLoS Comput. Biol. , vol.2
    • Virnau, P.1    Mirny, L.A.2    Kardar, M.3
  • 6
    • 84927999283 scopus 로고
    • Topological aspects of the physics of polymers: The theory and its biophysical applications
    • Frank-Kamenetskiǐ, M. D. & Vologodskiǐ, A. V. Topological aspects of the physics of polymers: The theory and its biophysical applications. Sov. Phys. Usp. 24, 679-695 (1981).
    • (1981) Sov. Phys. Usp. , vol.24 , pp. 679-695
    • Frank-Kamenetskiǐ, M.D.1    Vologodskiǐ, A.V.2
  • 9
    • 84876417245 scopus 로고    scopus 로고
    • Creation and dynamics of knotted vortices
    • Kleckner, D. & Irvine, W. T. M. Creation and dynamics of knotted vortices. Nat. Phys. 9, 253-258 (2013).
    • (2013) Nat. Phys. , vol.9 , pp. 253-258
    • Kleckner, D.1    Irvine, W.T.M.2
  • 10
    • 60149103779 scopus 로고    scopus 로고
    • Fast electrons tie quantum knots
    • Zaanen, J. Fast electrons tie quantum knots. Science 323, 888-890 (2009).
    • (2009) Science , vol.323 , pp. 888-890
    • Zaanen, J.1
  • 11
    • 79959855860 scopus 로고    scopus 로고
    • Reconfigurable knots and links in chiral nematic colloids
    • Tkalec, U., Ravnik, M., Čopar, S., Žumer, S. & Muševič, I. Reconfigurable knots and links in chiral nematic colloids. Science 333, 62-65 (2011).
    • (2011) Science , vol.333 , pp. 62-65
    • Tkalec, U.1    Ravnik, M.2    Čopar, S.3    Žumer, S.4    Muševič, I.5
  • 12
    • 80053135620 scopus 로고    scopus 로고
    • Colloidal entanglement in highly twisted chiral nematic colloids: Twisted loops, Hopf links, and trefoil knots
    • Jampani, V. S. R., Škarabot, M., Ravnik, M., Čopar, S., Žumer, S. & Muševič, I. Colloidal entanglement in highly twisted chiral nematic colloids: Twisted loops, Hopf links, and trefoil knots. Phys. Rev. E 84, 031703 (2011).
    • (2011) Phys. Rev. E , vol.84 , pp. 031703
    • Jampani, V.S.R.1    Škarabot, M.2    Ravnik, M.3    Čopar, S.4    Žumer, S.5    Muševič, I.6
  • 13
    • 84883383223 scopus 로고    scopus 로고
    • Knots and nonorientable surfaces in chiral nematics
    • Machon, T. & Alexander, G. P. Knots and nonorientable surfaces in chiral nematics. Proc. Natl. Acad. Sci. 110, 14174-14179 (2013).
    • (2013) Proc. Natl. Acad. Sci. , vol.110 , pp. 14174-14179
    • Machon, T.1    Alexander, G.P.2
  • 14
    • 8944262352 scopus 로고
    • Recherches sur les textures des états mésomorphes. 6 - Dislocations coins et signification des cloisons de grandjean-cano dans les cholestériques
    • Bouligand, Y. Recherches sur les textures des états mésomorphes. 6 - Dislocations coins et signification des cloisons de grandjean-cano dans les cholestériques. J. Phys-Paris 35, 959-981 (1974).
    • (1974) J. Phys-Paris , vol.35 , pp. 959-981
    • Bouligand, Y.1
  • 15
    • 0017997329 scopus 로고
    • Distortions with double topological character: The case of cholesterics
    • Bouligand, Y., Derrida, B., Poenaru, V., Pomeau, Y. & Toulouse, G. Distortions with double topological character: the case of cholesterics. J. Phys-Paris 39, 863-867 (1978).
    • (1978) J. Phys-Paris , vol.39 , pp. 863-867
    • Bouligand, Y.1    Derrida, B.2    Poenaru, V.3    Pomeau, Y.4    Toulouse, G.5
  • 16
    • 33747591911 scopus 로고    scopus 로고
    • Two-Dimensional nematic colloidal crystals self-assembled by topological defects
    • Muševič, I., Škarabot, M., Tkalec, U., Ravnik, M. & Žumer, S. Two-Dimensional nematic colloidal crystals self-assembled by topological defects. Science 313, 954-958 (2006).
    • (2006) Science , vol.313 , pp. 954-958
    • Muševič, I.1    Škarabot, M.2    Tkalec, U.3    Ravnik, M.4    Žumer, S.5
  • 17
    • 0020098445 scopus 로고
    • Topological defects of cholesteric liquid crystals for volumes with spherical shape
    • Kurik, M. V. & Lavrentovich, O. D., Topological defects of cholesteric liquid crystals for volumes with spherical shape. Mol. Cryst. Liq. Cryst. 72, 239-246 (1981).
    • (1981) Mol. Cryst. Liq. Cryst. , vol.72 , pp. 239-246
    • Kurik, M.V.1    Lavrentovich, O.D.2
  • 18
    • 0346714179 scopus 로고
    • Negative-positive monopole transitions in cholesteric liquid crystals
    • Kurik, M. V. & Lavrentovich, O. D., Negative-positive monopole transitions in cholesteric liquid crystals. JETP Lett. 35, 444-447 (1982).
    • (1982) JETP Lett. , vol.35 , pp. 444-447
    • Kurik, M.V.1    Lavrentovich, O.D.2
  • 19
    • 0021618422 scopus 로고
    • The organization of cholesteric spherulites
    • Bouligand, Y. & Livolant, F. The organization of cholesteric spherulites. J. Phys. 45, 1899-1923 (1984).
    • (1984) J. Phys. , vol.45 , pp. 1899-1923
    • Bouligand, Y.1    Livolant, F.2
  • 20
    • 0038450358 scopus 로고    scopus 로고
    • Chiral conflict. The effect of temperature on the helical sense of a polymer controlled by the competition between structurally different enantiomers: From dilute solution to the lyotropic liquid crystal state
    • Tang, M., Green, M., Cheon, K. S., Selinger, J. V. & Garetz, B. A. Chiral conflict. The effect of temperature on the helical sense of a polymer controlled by the competition between structurally different enantiomers: from dilute solution to the lyotropic liquid crystal state. J. Am. Chem. Soc. 125, 7313-7323 (2003).
    • (2003) J. Am. Chem. Soc. , vol.125 , pp. 7313-7323
    • Tang, M.1    Green, M.2    Cheon, K.S.3    Selinger, J.V.4    Garetz, B.A.5
  • 21
    • 0034224541 scopus 로고    scopus 로고
    • Conformational effect on macroscopic chirality modification of cholesteric mesophases by photochromic azobenzene dopants
    • Ruslim, C. & Ichimura, K., Conformational effect on macroscopic chirality modification of cholesteric mesophases by photochromic azobenzene dopants. J. Phys. Chem. B 104, 6529-6535 (2000).
    • (2000) J. Phys. Chem. B , vol.104 , pp. 6529-6535
    • Ruslim, C.1    Ichimura, K.2
  • 22
    • 77956528158 scopus 로고    scopus 로고
    • Thermal tuning band gap in cholesteric liquid crystals
    • Tzeng, S.-Y. T., Chen, C.-N. & Tzeng, Y., Thermal tuning band gap in cholesteric liquid crystals. Liq. Cryst. 37, 1221-1224 (2010).
    • (2010) Liq. Cryst. , vol.37 , pp. 1221-1224
    • Tzeng, S.-Y.T.1    Chen, C.-N.2    Tzeng, Y.3
  • 23
    • 0042977957 scopus 로고
    • Structures of the cholesteric liquid crystal droplets with parallel surface anchoring
    • Bezić J. & Žumer, S. Structures of the cholesteric liquid crystal droplets with parallel surface anchoring. Liq. Cryst. 11, 593-619 (1992).
    • (1992) Liq. Cryst. , vol.11 , pp. 593-619
    • Bezić, J.1    Žumer, S.2
  • 24
    • 5344226302 scopus 로고    scopus 로고
    • Chiral nematic droplets with parallel surface anchoring
    • Xu, F. & Crooker, P. P. Chiral nematic droplets with parallel surface anchoring. Phys. Rev. E 56, 6853-6860 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 6853-6860
    • Xu, F.1    Crooker, P.P.2
  • 25
    • 84870013904 scopus 로고    scopus 로고
    • Geometrical frustration of chiral ordering in cholesteric droplets
    • Seč, D., Porenta, T., Ravnik, M. & Žumer, S. Geometrical frustration of chiral ordering in cholesteric droplets. Soft Matter 8, 11982-11988 (2012).
    • (2012) Soft Matter , vol.8 , pp. 11982-11988
    • Seč, D.1    Porenta, T.2    Ravnik, M.3    Žumer, S.4
  • 26
    • 78650533340 scopus 로고    scopus 로고
    • 3D microlasers from self-assembled cholesteric liquid-crystal microdroplets
    • Humar, M. & Muševič, I. 3D microlasers from self-assembled cholesteric liquid-crystal microdroplets. Opt. Express 18, 26995-27003 (2010).
    • (2010) Opt. Express , vol.18 , pp. 26995-27003
    • Humar, M.1    Muševič, I.2
  • 27
    • 79851477288 scopus 로고    scopus 로고
    • Paintable band-edge liquid crystal lasers
    • Gardiner, D. J. et al. Paintable band-edge liquid crystal lasers. Opt. Express 19, 2432-2439 (2011).
    • (2011) Opt. Express , vol.19 , pp. 2432-2439
    • Gardiner, D.J.1
  • 28
    • 0038814004 scopus 로고    scopus 로고
    • Lasingcrystalin a three-dimensional photonic of the liquid crystal blue phase II
    • Cao, W., Muñoz, A., Palffy-Muhoray, P. & Taheri, B. Lasingcrystalin a three-dimensional photonic of the liquid crystal blue phase II. Nat. Mater. 1, 111-113 (2002).
    • (2002) Nat. Mater. , vol.1 , pp. 111-113
    • Cao, W.1    Muñoz, A.2    Palffy-Muhoray, P.3    Taheri, B.4
  • 29
    • 33947330305 scopus 로고    scopus 로고
    • Lasing in cholesteric liquid crystal cells: Competition of Bragg and leaky modes
    • Blinov, L. M., Cipparrone, G., Mazzulla, A., Pagliusi, P. & Lazarev, V. V. Lasing in cholesteric liquid crystal cells: Competition of Bragg and leaky modes. J. Appl. Phys. 101, 053104 (2007).
    • (2007) J. Appl. Phys. , vol.101 , pp. 053104
    • Blinov, L.M.1    Cipparrone, G.2    Mazzulla, A.3    Pagliusi, P.4    Lazarev, V.V.5
  • 32
    • 84877737884 scopus 로고    scopus 로고
    • Colloidal Templating at a Cholesteric-Oil Interface: Assembly Guided by an Array of Disclination Lines
    • Lintuvuori, J. S., Pawsey, A. C., Stratford, K., Cates, M. E., Clegg, P. S., & Marenduzzo, D. Colloidal Templating at a Cholesteric-Oil Interface: Assembly Guided by an Array of Disclination Lines. Phys. Rev. Lett. 110, 187801 (2013).
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 187801
    • Lintuvuori, J.S.1    Pawsey, A.C.2    Stratford, K.3    Cates, M.E.4    Clegg, P.S.5    Marenduzzo, D.6
  • 33
    • 58149513040 scopus 로고    scopus 로고
    • Nematic colloids entangled by topological defects
    • Ravnik, M. & Žumer, S. Nematic colloids entangled by topological defects. Soft Matter 5, 269-274 (2009).
    • (2009) Soft Matter , vol.5 , pp. 269-274
    • Ravnik, M.1    Žumer, S.2
  • 35
    • 0037061262 scopus 로고    scopus 로고
    • Hydrodynamics of topological defects in nematic liquid crystals
    • Tóth, G., Denniston, C. & Yeomans, J. M. Hydrodynamics of topological defects in nematic liquid crystals. Phys. Rev. Lett. 88, 105504 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 105504
    • Tóth, G.1    Denniston, C.2    Yeomans, J.M.3
  • 36
    • 37649027731 scopus 로고    scopus 로고
    • Hydrodynamics of pair-annihilating disclination lines in nematic liquid crystals
    • Svenšek, D. & Žumer, S. Hydrodynamics of pair-annihilating disclination lines in nematic liquid crystals. Phys. Rev. E 66, 021712 (2002).
    • (2002) Phys. Rev. E , vol.66 , pp. 021712
    • Svenšek, D.1    Žumer, S.2
  • 38
    • 4243483682 scopus 로고
    • Lignes de dislocation dans les cholestériques
    • Kleman, M. & Friedel, J. Lignes de dislocation dans les cholestériques. J. Phys-Paris 30, 43-53 (1969).
    • (1969) J. Phys-Paris , vol.30 , pp. 43-53
    • Kleman, M.1    Friedel, J.2
  • 39
    • 0000310911 scopus 로고
    • 3 in liquid crystals by the homotopic topology methods
    • 3 in liquid crystals by the homotopic topology methods. Sov. Phys. JETP 45, 1186-1196 (1977).
    • (1977) Sov. Phys. JETP , vol.45 , pp. 1186-1196
    • Volovik, G.E.1    Mineev, V.P.2
  • 40
    • 79960668820 scopus 로고    scopus 로고
    • Nematic braids: Topological invariants and rewiring of disclinations
    • Čopar, S. & Žumer, S. Nematic braids: topological invariants and rewiring of disclinations. Phys. Rev. Lett. 106, 177801 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 177801
    • Čopar, S.1    Žumer, S.2
  • 41
    • 81555228487 scopus 로고    scopus 로고
    • Nematic disclinations as twisted ribbons
    • Čopar S., Porenta T. & Žumer, S. Nematic disclinations as twisted ribbons. Phys. Rev. E 84, 051702 (2011).
    • (2011) Phys. Rev. E , vol.84 , pp. 051702
    • Čopar, S.1    Porenta, T.2    Žumer, S.3
  • 43
    • 53449094240 scopus 로고    scopus 로고
    • Topology of smectic order on compact substrates
    • Xing, X. Topology of smectic order on compact substrates. Phys. Rev. Lett. 101, 147801 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 147801
    • Xing, X.1
  • 44
    • 79953036633 scopus 로고    scopus 로고
    • Memory and topological frustration in nematic liquid crystals confined in porous materials
    • Araki, T., Buscaglia, M., Bellini, T. & Tanaka, H. Memory and topological frustration in nematic liquid crystals confined in porous materials. Nat. Mater. 10, 303-309 (2011)
    • (2011) Nat. Mater. , vol.10 , pp. 303-309
    • Araki, T.1    Buscaglia, M.2    Bellini, T.3    Tanaka, H.4
  • 45
    • 79953120349 scopus 로고    scopus 로고
    • Quasi-two-dimensional Skyrmion lattices in a chiral nematic liquid crystal
    • Fukuda, J. & Žumer, S. Quasi-two-dimensional Skyrmion lattices in a chiral nematic liquid crystal. Nat. Commun. 2, 246 (2011).
    • (2011) Nat. Commun. , vol.2 , pp. 246
    • Fukuda, J.1    Žumer, S.2
  • 46
    • 79952170331 scopus 로고    scopus 로고
    • Ring defects in a strongly confined chiral liquid crystal
    • Fukuda, J. & Žumer, S. Ring defects in a strongly confined chiral liquid crystal. Phys. Rev. Lett. 106, 097801 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 097801
    • Fukuda, J.1    Žumer, S.2
  • 47
    • 33645711229 scopus 로고    scopus 로고
    • Optical trapping, manipulation, and 3D imaging of disclinations in liquid crystals and measurement of their line tension
    • Smalyukh, I. I. et al. Optical trapping, manipulation, and 3D imaging of disclinations in liquid crystals and measurement of their line tension. Mol. Cryst. Liq. Cryst. 450, 79-95 (2006).
    • (2006) Mol. Cryst. Liq. Cryst. , vol.450 , pp. 79-95
    • Smalyukh, I.I.1
  • 48
    • 78549245172 scopus 로고    scopus 로고
    • Multimodal nonlinear optical polarizing microscopy of long-range molecular order in liquid crystals
    • Lee, T., Trivedi, R. P. & Smalyukh, I. I. Multimodal nonlinear optical polarizing microscopy of long-range molecular order in liquid crystals. Opt. Lett. 35, 3447-3449 (2010).
    • (2010) Opt. Lett. , vol.35 , pp. 3447-3449
    • Lee, T.1    Trivedi, R.P.2    Smalyukh, I.I.3
  • 52
    • 0001743951 scopus 로고    scopus 로고
    • Physics of colloidal dispersions in nematic liquid crystals
    • Stark, H. Physics of colloidal dispersions in nematic liquid crystals, Phys. Rep. 351, 387-474 (2001).
    • (2001) Phys. Rep. , vol.351 , pp. 387-474
    • Stark, H.1
  • 53
    • 84883149707 scopus 로고    scopus 로고
    • A rigorous numerical algorithm for computing the linking number of links
    • Arai, Z. A rigorous numerical algorithm for computing the linking number of links. IEICE 4, 104-110 (2013).
    • (2013) IEICE , vol.4 , pp. 104-110
    • Arai, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.