메뉴 건너뛰기




Volumn 40, Issue 26, 2007, Pages

Non-equilibrium statistical mechanics of liquid crystals: Relaxation, viscosity and elasticity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34250663591     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/26/R01     Document Type: Article
Times cited : (16)

References (66)
  • 4
    • 65549147428 scopus 로고
    • Fokker-Planck-equation approach to flow alignment in liquid crystals
    • Hess S 1976 Fokker-Planck-equation approach to flow alignment in liquid crystals Z. Naturforsch. 31a 1034
    • (1976) Z. Naturforsch. , vol.31 , pp. 1034
    • Hess, S.1
  • 5
    • 12244286226 scopus 로고
    • Molecular dynamics study of infinitely thin hard rods: Scaling behavior of transport properties
    • Frenkel D and Maquire J F 1981 Molecular dynamics study of infinitely thin hard rods: scaling behavior of transport properties Phys. Rev. Lett. 47 1025
    • (1981) Phys. Rev. Lett. , vol.47 , Issue.15 , pp. 1025
    • Frenkel, D.1    Maquire, J.F.2
  • 7
    • 84904160622 scopus 로고
    • The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles
    • Hinch E J and Leal L G 1972 The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles J. Fluid Mech. 52 683
    • (1972) J. Fluid Mech. , vol.52 , Issue.4 , pp. 683
    • Hinch, E.J.1    Leal, L.G.2
  • 8
    • 0040859588 scopus 로고
    • Relationship between molecular shape and hydrodynamics in a nematic substance
    • Volovik G E 1980 Relationship between molecular shape and hydrodynamics in a nematic substance JETP Lett. 31 297
    • (1980) JETP Lett. , vol.31 , Issue.5 , pp. 297
    • Volovik, G.E.1
  • 9
    • 0009479066 scopus 로고
    • The viscosity coefficients of oriented nematic and discotic liquid crystals: Affine transformation model
    • Baalss D and Hess S 1988 The viscosity coefficients of oriented nematic and discotic liquid crystals: affine transformation model Z. Naturforsch. 43a 662
    • (1988) Z. Naturforsch. , vol.43 , pp. 662
    • Baalss, D.1    Hess, S.2
  • 10
    • 0000314364 scopus 로고
    • Viscosity coefficients of partially aligned nematic and discotic liquid crystals
    • Ehrentraut H and Hess S 1995 Viscosity coefficients of partially aligned nematic and discotic liquid crystals Phys. Rev. E 51 2203
    • (1995) Phys. Rev. , vol.51 , Issue.3 , pp. 2203
    • Ehrentraut, H.1    Hess, S.2
  • 11
    • 0020804667 scopus 로고
    • Remarks on the flow-alignment of disk like nematics
    • Carlsson T 1983 Remarks on the flow-alignment of disk like nematics J. Physique 44 909
    • (1983) J. Physique , vol.44 , Issue.8 , pp. 909
    • Carlsson, T.1
  • 13
    • 0346528772 scopus 로고
    • Some constitutive equations for anisotropic fluids
    • Leslie F M 1966 Some constitutive equations for anisotropic fluids Q. J. Mech. Appl. Math. 19 357
    • (1966) Q. J. Mech. Appl. Math. , vol.19 , Issue.3 , pp. 357
    • Leslie, F.M.1
  • 15
    • 0000188518 scopus 로고
    • Rheology of rodlike polymers in the nematic phase with tumbling or shear orientation
    • Marucci G 1990 Rheology of rodlike polymers in the nematic phase with tumbling or shear orientation Rheol. Acta 29 523
    • (1990) Rheol. Acta , vol.29 , Issue.6 , pp. 523
    • Marucci, G.1
  • 16
    • 0032723973 scopus 로고    scopus 로고
    • Flow-aligning and tumbling in small-molecule liquid crystals: Pure components and mixtures
    • Ternet D J, Larson R G and Leal L G 2004 Flow-aligning and tumbling in small-molecule liquid crystals: pure components and mixtures Rheol. Acta 38 183
    • (2004) Rheol. Acta , vol.38 , Issue.3 , pp. 183
    • Ternet, D.J.1    Larson, R.G.2    Leal, L.G.3
  • 17
    • 5044246853 scopus 로고    scopus 로고
    • Regular and chaotic orientational and rheological behaviour of liquid crustals
    • Hess S and Kröger M 2004 Regular and chaotic orientational and rheological behaviour of liquid crustals J. Phys.: Condens. Matter 16 S3835
    • (2004) J. Phys.: Condens. Matter , vol.16 , Issue.38 , pp. 3835
    • Hess, S.1    Kröger, M.2
  • 18
    • 0020132885 scopus 로고
    • Order parameter and temperature-dependence of the hydrodynamic viscosities of nematic liquid-crystals
    • Diogo A C and Martins A F 1982 Order parameter and temperature-dependence of the hydrodynamic viscosities of nematic liquid-crystals J. Physique 43 779
    • (1982) J. Physique , vol.43 , Issue.5 , pp. 779
    • Diogo, A.C.1    Martins, A.F.2
  • 19
    • 0020834277 scopus 로고
    • Constitutive equation for nematic liquid-crystals under weak velocity-gradient derived from a molecular kinetic-equation
    • Kuzuu N and Doi M 1983 Constitutive equation for nematic liquid-crystals under weak velocity-gradient derived from a molecular kinetic-equation J. Phys. Soc. Japan 52 3486
    • (1983) J. Phys. Soc. Japan , vol.52 , Issue.10 , pp. 3486
    • Kuzuu, N.1    Doi, M.2
  • 21
    • 84947156410 scopus 로고
    • Couple-stress theory of elasticity and interaction of disclinations in liquid crystals
    • Terentjev E M 1987 Couple-stress theory of elasticity and interaction of disclinations in liquid crystals Sov. Phys. Crystallogr. 32 166
    • (1987) Sov. Phys. Crystallogr. , vol.32 , pp. 166
    • Terentjev, E.M.1
  • 22
    • 0342461276 scopus 로고
    • Rotational diffusion and rheological properties of liquid-crystals
    • Osipov M A and Terentjev E M 1989 Rotational diffusion and rheological properties of liquid-crystals Z. Naturforsch. 44a 785
    • (1989) Z. Naturforsch. , vol.44 , pp. 785
    • Osipov, M.A.1    Terentjev, E.M.2
  • 24
    • 0001344401 scopus 로고
    • Shear-induced orientational effects in discotic-liquid-crystal micelles
    • Hammouda B, Mang J and Kumar S 1995 Shear-induced orientational effects in discotic-liquid-crystal micelles Phys. Rev. E 51 6282
    • (1995) Phys. Rev. , vol.51 , Issue.6 , pp. 6282
    • Hammouda, B.1    Mang, J.2    Kumar, S.3
  • 25
    • 0001410634 scopus 로고
    • Ordering effects in shear flows of discotic polymers
    • Farhoudi Y and Rey A D 1993 Ordering effects in shear flows of discotic polymers Rheol. Acta 32 207
    • (1993) Rheol. Acta , vol.32 , Issue.3 , pp. 207
    • Farhoudi, Y.1    Rey, A.D.2
  • 26
    • 0000655291 scopus 로고    scopus 로고
    • Rheology and microstructure of dense suspensions of plate-shaped colloidal particles
    • Jogun S M and Zukoski C F 1999 Rheology and microstructure of dense suspensions of plate-shaped colloidal particles J. Rheol. 43 847
    • (1999) J. Rheol. , vol.43 , Issue.4 , pp. 847
    • Jogun, S.M.1    Zukoski, C.F.2
  • 27
    • 0001972131 scopus 로고
    • Einige resultate einer kinetischen theorie der isolatoren
    • Debye P 1912 Einige resultate einer kinetischen theorie der isolatoren Physik. Zeit. 13 97-100
    • (1912) Physik. Zeit. , vol.13 , pp. 97-100
    • Debye, P.1
  • 28
    • 0002289420 scopus 로고
    • Zur theorie der anomalen dispersion im gebiete der langwelligen elektrischen strahlung
    • Debye P 1913 Zur theorie der anomalen dispersion im gebiete der langwelligen elektrischen strahlung Ber. Deut. Physik. Gesel. 15 777
    • (1913) Ber. Deut. Physik. Gesel. , vol.15 , pp. 777
    • Debye, P.1
  • 29
    • 0000677278 scopus 로고
    • Sur la théorie du magnétisme
    • Langevin M P 1905 Sur la théorie du magnétisme J. Physique 4 678
    • (1905) J. Physique , vol.4 , pp. 678
    • Langevin, M.P.1
  • 30
    • 84976701037 scopus 로고
    • Theorie der Brownschen Bewegung
    • Einstein A 1906 Theorie der Brownschen Bewegung Ann. Phys. 19 371
    • (1906) Ann. Phys. , vol.324 , Issue.2 , pp. 371
    • Einstein, A.1
  • 31
    • 0343791148 scopus 로고
    • Electric moments of molecules in liquids
    • Onsager L 1936 Electric moments of molecules in liquids J. Am. Chem. Soc. 58 1486
    • (1936) J. Am. Chem. Soc. , vol.58 , Issue.8 , pp. 1486
    • Onsager, L.1
  • 32
    • 0342394897 scopus 로고
    • The dielectric polarization of polar liquids
    • Kirkwood J G 1939 The dielectric polarization of polar liquids J. Chem. Phys. 7 911
    • (1939) J. Chem. Phys. , vol.7 , Issue.10 , pp. 911
    • Kirkwood, J.G.1
  • 33
    • 0000670189 scopus 로고
    • The motion of ellipsoidal particles immersed in a viscous fluid
    • Jeffery G B 1922 The motion of ellipsoidal particles immersed in a viscous fluid Proc. R. Soc. 102a 161
    • (1922) Proc. R. Soc. , vol.102 , pp. 161
    • Jeffery, G.B.1
  • 34
    • 0004985258 scopus 로고
    • Rotational diffusion of sterically interacting rodlike macromolecules
    • Maguire J F, McTague J P and Rondelez F 1980 Rotational diffusion of sterically interacting rodlike macromolecules Phys. Rev. Lett. 45 1891
    • (1980) Phys. Rev. Lett. , vol.45 , Issue.23 , pp. 1891
    • Maguire, J.F.1    McTague, J.P.2    Rondelez, F.3
  • 35
    • 0000928366 scopus 로고
    • Covariant formulation of non-equilibrium statistical thermodynamics
    • Graham R 1977 Covariant formulation of non-equilibrium statistical thermodynamics Z. Physik. B 26 397
    • (1977) Z. Physik. , vol.26 , Issue.4 , pp. 397
    • Graham, R.1
  • 37
    • 1442289165 scopus 로고
    • Die mittlere energie rotierender elektrischer dipole im strahlungsfeld
    • Fokker A D 1914 Die mittlere energie rotierender elektrischer dipole im strahlungsfeld Ann. Phys. 43 810
    • (1914) Ann. Phys. , vol.348 , Issue.5 , pp. 810
    • Fokker, A.D.1
  • 38
    • 0040219863 scopus 로고
    • Ber einen Satz der statistischen dynamik und seine Erweiterung in der quantentheorie
    • Planck M 1917 ber einen Satz der statistischen dynamik und seine Erweiterung in der quantentheorie Sitz. Preuischen Akad. Wissen. 24 324
    • (1917) Sitz. Preuischen Akad. Wissen. , vol.24 , pp. 324
    • Planck, M.1
  • 39
    • 54749116478 scopus 로고
    • Ber Brownsche Molekularbewegung unter Einwirkung äuβerer Kräfte und deren Zusammenhang mit der verallgemeinerten diffusionsgleichung
    • von Smoluchowski M 1915 ber Brownsche Molekularbewegung unter Einwirkung äuβerer Kräfte und deren Zusammenhang mit der verallgemeinerten diffusionsgleichung Ann. Phys. 48 1103
    • (1915) Ann. Phys. , vol.48 , pp. 1103
    • Von Smoluchowski, M.1
  • 40
    • 0035227143 scopus 로고    scopus 로고
    • Structure and elastic properties of a nematic liquid crystal: A theoretical treatment and molecular dynamics simulation
    • Zakharov A V and Maliniak A 2001 Structure and elastic properties of a nematic liquid crystal: a theoretical treatment and molecular dynamics simulation Eur. Phys. J. E 4 435
    • (2001) Eur. Phys. J. , vol.4 , Issue.1 , pp. 85
    • Zakharov, A.V.1    Maliniak, A.2
  • 44
    • 4243996862 scopus 로고
    • Dielectric-relaxation and the glass-transition in nematic liquid-crystals
    • Zeller H R 1982 Dielectric-relaxation and the glass-transition in nematic liquid-crystals Phys. Rev. Lett. 48 334
    • (1982) Phys. Rev. Lett. , vol.48 , Issue.5 , pp. 334
    • Zeller, H.R.1
  • 45
    • 0014849705 scopus 로고
    • New elastic-hydrodynamic theory of liquid crystals
    • Martin P C, Pershan P J and Swift J 1970 New elastic-hydrodynamic theory of liquid crystals Phys. Rev. Lett. 25 844
    • (1970) Phys. Rev. Lett. , vol.25 , Issue.13 , pp. 844
    • Martin, P.C.1    Pershan, P.J.2    Swift, J.3
  • 46
    • 4043088470 scopus 로고
    • Temperature dependence of normal modes in a nematic liquid crystal
    • Haller I and Litster J D 1970 Temperature dependence of normal modes in a nematic liquid crystal Phys. Rev. Lett. 25 1550
    • (1970) Phys. Rev. Lett. , vol.25 , Issue.22 , pp. 1550
    • Haller, I.1    Litster, J.D.2
  • 48
    • 0000715694 scopus 로고
    • Stress tensor for a nematic liquid crystal
    • Parodi O 1970 Stress tensor for a nematic liquid crystal J. Physique 31 581
    • (1970) J. Physique , vol.31 , Issue.7 , pp. 581
    • Parodi, O.1
  • 49
    • 11744296426 scopus 로고
    • Microscopic description of nematic liquid crystal viscosity
    • Chrzanowska A and Sokalski K 1995 Microscopic description of nematic liquid crystal viscosity Phys. Rev. E 52 5228
    • (1995) Phys. Rev. , vol.52 , Issue.5 , pp. 5228
    • Chrzanowska, A.1    Sokalski, K.2
  • 50
    • 0025469856 scopus 로고
    • Arrested tumbling in shearing flows of liquid-crystal polymers
    • Larson R G 1990 Arrested tumbling in shearing flows of liquid-crystal polymers Macromolecules 23 3983
    • (1990) Macromolecules , vol.23 , Issue.17 , pp. 3983
    • Larson, R.G.1
  • 51
    • 0000964782 scopus 로고
    • Temperature dependence of flow alignment in nematic liquid crystals
    • Gähwiller C 1972 Temperature dependence of flow alignment in nematic liquid crystals Phys. Rev. Lett. 28 1554
    • (1972) Phys. Rev. Lett. , vol.28 , Issue.24 , pp. 1554
    • Gähwiller, C.1
  • 52
    • 0000235390 scopus 로고
    • Two shear-flow regimes in nematic p-n-hexyloxybenzilidene-p'- aminobenzonitrile
    • Pieranski P and Guyon E 1974 Two shear-flow regimes in nematic p-n-hexyloxybenzilidene-p'-aminobenzonitrile Phys. Rev. Lett. 32 924
    • (1974) Phys. Rev. Lett. , vol.32 , Issue.17 , pp. 924
    • Pieranski, P.1    Guyon, E.2
  • 53
    • 0031270899 scopus 로고    scopus 로고
    • Simulating complex flows of liquid-crystalline polymers using the Doi theory
    • Feng J and Leal L G 1997 Simulating complex flows of liquid-crystalline polymers using the Doi theory J. Rheol. 41 1317
    • (1997) J. Rheol. , vol.41 , Issue.6 , pp. 1317
    • Feng, J.1    Leal, L.G.2
  • 56
    • 10444285798 scopus 로고
    • Molecular statistical theory of nematic liquid crystals
    • Chandrasekhar S and Madhusudana N V 1971 Molecular statistical theory of nematic liquid crystals Acta Crystallogr. 27 303
    • (1971) Acta Crystallogr. , vol.27 , pp. 303
    • Chandrasekhar, S.1    Madhusudana, N.V.2
  • 57
    • 0000810082 scopus 로고
    • Molecular shape and volume effects on the orientational ordering of simple liquid crystals
    • Baron B A and Gelbart W M 1977 Molecular shape and volume effects on the orientational ordering of simple liquid crystals J. Chem. Phys. 67 5795
    • (1977) J. Chem. Phys. , vol.67 , Issue.12 , pp. 5795
    • Baron, B.A.1    Gelbart, W.M.2
  • 58
    • 4243790074 scopus 로고
    • Monte Carlo study of the isotropic-nematic transition in a fluid of thin hard disks
    • Eppenga R and Frenkel D 1982 Monte Carlo study of the isotropic-nematic transition in a fluid of thin hard disks Phys. Rev. Lett. 40 1089
    • (1982) Phys. Rev. Lett. , vol.40 , pp. 1089
    • Eppenga, R.1    Frenkel, D.2
  • 59
    • 84971301149 scopus 로고
    • The effects of shape on the interaction of colloidal particles
    • Onsager L 1949 The effects of shape on the interaction of colloidal particles Ann. N. Y. Acad. Sci. 51 627
    • (1949) Ann. N. Y. Acad. Sci. , vol.51 , pp. 627
    • Onsager, L.1
  • 60
    • 0000083253 scopus 로고
    • Experimental confirmation of the Osipov-Terentjev theory on the viscosity of nematic liquid-crystals
    • Wu S T and Wu C S 1990 Experimental confirmation of the Osipov-Terentjev theory on the viscosity of nematic liquid-crystals Phys. Rev. A 42 2219
    • (1990) Phys. Rev. , vol.42 , Issue.4 , pp. 2219
    • Wu, S.T.1    Wu, C.S.2
  • 61
    • 0031269102 scopus 로고    scopus 로고
    • Effect of long range order on sheared liquid crystalline materials: 1. Compatibility between tumbling behavior and fixed anchoring
    • Tsuji T and Rey A D 1997 Effect of long range order on sheared liquid crystalline materials: 1. Compatibility between tumbling behavior and fixed anchoring J. Non-Newtonian Fluid Mech. 73 127
    • (1997) J. Non-Newtonian Fluid Mech. , vol.73 , Issue.1-2 , pp. 127
    • Tsuji, T.1    Rey, A.D.2
  • 62
    • 0024748563 scopus 로고    scopus 로고
    • Order parameter representation of spatial inhomogeneities in polymeric liquid-crystals
    • Edwards B J and Beris A N Order parameter representation of spatial inhomogeneities in polymeric liquid-crystals J. Rheol. 33 1189
    • J. Rheol. , vol.33 , pp. 1189
    • Edwards, B.J.1    Beris, A.N.2
  • 63
    • 0001821831 scopus 로고
    • The elastic-constants of Maier-Saupe rodlike molecule nematics
    • Marrucci G and Greco F 1991 The elastic-constants of Maier-Saupe rodlike molecule nematics Mol. Cryst. Liq. Cryst. 26 17
    • (1991) Mol. Cryst. Liq. Cryst. , vol.26 , pp. 17
    • Marrucci, G.1    Greco, F.2
  • 65
    • 0000435745 scopus 로고
    • Frank elastic constants of the hard-rod liquid crystal
    • Straley J P 1973 Frank elastic constants of the hard-rod liquid crystal Phys. Rev. A 8 2181
    • (1973) Phys. Rev. , vol.8 , Issue.4 , pp. 2181
    • Straley, J.P.1
  • 66
    • 0000536028 scopus 로고
    • Molecular theory of curvature elasticity in nematic liquids
    • Gelbart W M and Ben-Shaul A 1982 Molecular theory of curvature elasticity in nematic liquids J. Chem. Phys. 77 916
    • (1982) J. Chem. Phys. , vol.77 , Issue.2 , pp. 916
    • Gelbart, W.M.1    Ben-Shaul, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.