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Volumn 20, Issue 6, 2008, Pages 347-374

Landau theory for biaxial nematic liquid crystals with two order parameter tensors

Author keywords

Biaxial liquid crystals; Landau theory; Nematic phases

Indexed keywords

BIAXIAL LIQUID CRYSTALS; DISPERSION FORCES; HOMOGENEOUS PHASES; LANDAU THEORIES; LANDAU THEORY; MOLECULAR PAIRS; MONTE CARLO SIMULATIONS; NEMATIC PHASES; ORDER PARAMETERS; PHENOMENOLOGICAL COEFFICIENTS; PHENOMENOLOGICAL THEORIES; POLYNOMIAL POTENTIALS; TWO ORDER PARAMETERS;

EID: 57049102271     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-008-0086-9     Document Type: Article
Times cited : (45)

References (38)
  • 2
    • 2542487755 scopus 로고    scopus 로고
    • Biaxial nematic phase in bent-core thermotropic mesogens
    • B.R. Acharya A. Primak S. Kumar 2004 Biaxial nematic phase in bent-core thermotropic mesogens Phys. Rev. Lett. 92 145506
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 145506
    • Acharya, B.R.1    Primak, A.2    Kumar, S.3
  • 3
    • 2342484289 scopus 로고    scopus 로고
    • Biaxial nematic phase in a thermotropic liquid-crystalline side-chain polymer
    • K. Severing K. Saalwächter 2004 Biaxial nematic phase in a thermotropic liquid-crystalline side-chain polymer Phys. Rev. Lett. 92 125501
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 125501
    • Severing, K.1    Saalwächter, K.2
  • 4
    • 42749104958 scopus 로고    scopus 로고
    • Thermotropic biaxial nematic phase in liquid crystalline organo-siloxane tetrapodes
    • K. Merkel A. Kocot J.K. Vij R. Korlacki G.H. Mehl T. Meyer 2004 Thermotropic biaxial nematic phase in liquid crystalline organo-siloxane tetrapodes Phys. Rev. Lett. 93 237801
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 237801
    • Merkel, K.1    Kocot, A.2    Vij, J.K.3    Korlacki, R.4    Mehl, G.H.5    Meyer, T.6
  • 5
    • 3342931463 scopus 로고    scopus 로고
    • A missing phase found at last
    • G.R. Luckhurst 2004 A missing phase found at last Nature 430 413 414
    • (2004) Nature , vol.430 , pp. 413-414
    • Luckhurst, G.R.1
  • 6
    • 37649028079 scopus 로고    scopus 로고
    • Dielectric shape dispersion and biaxial transitions in nematic liquid crystals
    • A.M. Sonnet E.G. Virga G.E. Durand 2003 Dielectric shape dispersion and biaxial transitions in nematic liquid crystals Phys. Rev. E 67 061701
    • (2003) Phys. Rev. e , vol.67 , pp. 061701
    • Sonnet, A.M.1    Virga, E.G.2    Durand, G.E.3
  • 7
    • 28844476151 scopus 로고    scopus 로고
    • Bifurcation analysis and computer simulation of biaxial liquid crystals
    • G. De Matteis S. Romano E.G. Virga 2005 Bifurcation analysis and computer simulation of biaxial liquid crystals Phys. Rev. E 72 041706
    • (2005) Phys. Rev. e , vol.72 , pp. 041706
    • De Matteis, G.1    Romano, S.2    Virga, E.G.3
  • 11
    • 34247508077 scopus 로고    scopus 로고
    • Uniaxial rebound at nematic biaxial transition
    • F. Bisi S. Romano E.G. Virga 2007 Uniaxial rebound at nematic biaxial transition Phys. Rev. E 75 041705
    • (2007) Phys. Rev. e , vol.75 , pp. 041705
    • Bisi, F.1    Romano, S.2    Virga, E.G.3
  • 12
    • 0001473017 scopus 로고
    • Ordered phases of a liquid of biaxial particles
    • J.P. Straley 1974 Ordered phases of a liquid of biaxial particles Phys. Rev. A 10 1881 1887
    • (1974) Phys. Rev. A , vol.10 , pp. 1881-1887
    • Straley, J.P.1
  • 14
    • 0014777872 scopus 로고
    • Ordered states of a nematic liquid
    • M.J. Freiser 1970 Ordered states of a nematic liquid Phys. Rev. Lett. 24 1041 1043
    • (1970) Phys. Rev. Lett. , vol.24 , pp. 1041-1043
    • Freiser, M.J.1
  • 15
    • 0037620092 scopus 로고
    • Successive transitions in a nematic liquid
    • M.J. Freiser 1971 Successive transitions in a nematic liquid Mol. Cryst. Liq. Cryst. 14 165 182
    • (1971) Mol. Cryst. Liq. Cryst. , vol.14 , pp. 165-182
    • Freiser, M.J.1
  • 16
    • 0000196119 scopus 로고
    • Solvable model exhibiting a 1st-order phase-transition
    • N. Boccara R. Mejdani L. De Seze 1977 Solvable model exhibiting a 1st-order phase-transition J. de Phys. (Paris) 38 149 151
    • (1977) J. de Phys. (Paris) , vol.38 , pp. 149-151
    • Boccara, N.1    Mejdani, R.2    De Seze, L.3
  • 19
    • 41549140158 scopus 로고    scopus 로고
    • Steric effects in dispersion forces interactions
    • A.M. Sonnet E.G. Virga 2008 Steric effects in dispersion forces interactions Phys. Rev. E 77 031704
    • (2008) Phys. Rev. e , vol.77 , pp. 031704
    • Sonnet, A.M.1    Virga, E.G.2
  • 21
    • 36849101145 scopus 로고
    • Baker-Campbell-Hausdorff formulas
    • R. Gilmore 1974 Baker-Campbell-Hausdorff formulas J. Math. Phys. 15 2090 2092
    • (1974) J. Math. Phys. , vol.15 , pp. 2090-2092
    • Gilmore, R.1
  • 23
    • 34250959542 scopus 로고
    • The Theory of matrix polynomials and its application to the mechanics of isotropic continua
    • A.J. Spencer R.S. Rivlin 1958 The Theory of matrix polynomials and its application to the mechanics of isotropic continua Arch. Rational Mech. Anal. 2 309 336
    • (1958) Arch. Rational Mech. Anal. , vol.2 , pp. 309-336
    • Spencer, A.J.1    Rivlin, R.S.2
  • 24
    • 0001553278 scopus 로고
    • Finite integrity bases for five or fewer symmetric 3 × 3 matrices
    • A.J. Spencer R.S. Rivlin 1959 Finite integrity bases for five or fewer symmetric 3 × 3 matrices Arch. Rational Mech. Anal. 2 435 446
    • (1959) Arch. Rational Mech. Anal. , vol.2 , pp. 435-446
    • Spencer, A.J.1    Rivlin, R.S.2
  • 25
    • 34250959133 scopus 로고
    • Further results in the theory of matrix polynomials
    • A.J. Spencer R.S. Rivlin 1960 Further results in the theory of matrix polynomials Arch. Rational Mech. Anal. 4 214 230
    • (1960) Arch. Rational Mech. Anal. , vol.4 , pp. 214-230
    • Spencer, A.J.1    Rivlin, R.S.2
  • 26
  • 29
    • 27944505080 scopus 로고    scopus 로고
    • Tricritical points in biaxial liquid crystal phases
    • G. De Matteis E.G. Virga 2005 Tricritical points in biaxial liquid crystal phases Phys. Rev. E 71 061703
    • (2005) Phys. Rev. e , vol.71 , pp. 061703
    • De Matteis, G.1    Virga, E.G.2
  • 30
    • 0043249510 scopus 로고
    • Landau theory of biaxial and uniaxial nematic liquid-crystals
    • D.W. Allender M.A. Lee N. Hafiz 1985 Landau theory of biaxial and uniaxial nematic liquid-crystals Mol. Crystl. Liq. Cryst. 124 45 52
    • (1985) Mol. Crystl. Liq. Cryst. , vol.124 , pp. 45-52
    • Allender, D.W.1    Lee, M.A.2    Hafiz, N.3
  • 31
    • 0346607488 scopus 로고    scopus 로고
    • Improved analysis of the Landau theory of the uniaxial-biaxial nematic phase transition
    • P.K. Mukherjee 1998 Improved analysis of the Landau theory of the uniaxial-biaxial nematic phase transition Liquid Cryst. 24 519 523
    • (1998) Liquid Cryst. , vol.24 , pp. 519-523
    • Mukherjee, P.K.1
  • 32
    • 28844480555 scopus 로고    scopus 로고
    • Theory of uniaxial and biaxial nematic phases in bent-core systems
    • B. Mettout 2005 Theory of uniaxial and biaxial nematic phases in bent-core systems Phys. Rev. E 72 031706
    • (2005) Phys. Rev. e , vol.72 , pp. 031706
    • Mettout, B.1
  • 33
    • 0001164116 scopus 로고    scopus 로고
    • Generalized Landau-de Gennes theory of uniaxial and biaxial nematic liquid crystals
    • M.C.J.M. Vissenberg S. Stallinga G. Vertogen 1997 Generalized Landau-de Gennes theory of uniaxial and biaxial nematic liquid crystals Phys. Rev. E 55 4367 4377
    • (1997) Phys. Rev. e , vol.55 , pp. 4367-4377
    • Vissenberg, M.C.J.M.1    Stallinga, S.2    Vertogen, G.3
  • 34
    • 30344450376 scopus 로고    scopus 로고
    • Luckhurst-Romano model of thermotropic biaxial nematic phase
    • L. Longa G. Pajak 2005 Luckhurst-Romano model of thermotropic biaxial nematic phase Liquid Cryst. 32 1409 1417
    • (2005) Liquid Cryst. , vol.32 , pp. 1409-1417
    • Longa, L.1    Pajak, G.2
  • 35
    • 0030552321 scopus 로고    scopus 로고
    • The identities of the algebraic invariants of the four-dimensional Riemann tensor
    • G.E. Sneddon 1996 The identities of the algebraic invariants of the four-dimensional Riemann tensor J. Math. Phys. 37 1059 1075
    • (1996) J. Math. Phys. , vol.37 , pp. 1059-1075
    • Sneddon, G.E.1
  • 36
    • 0032353861 scopus 로고    scopus 로고
    • The identities of the algebraic invariants of the four-dimensional Riemann tensor. II
    • G.E. Sneddon 1998 The identities of the algebraic invariants of the four-dimensional Riemann tensor. II J. Math. Phys. 39 1659 1679
    • (1998) J. Math. Phys. , vol.39 , pp. 1659-1679
    • Sneddon, G.E.1
  • 37
    • 0033240093 scopus 로고    scopus 로고
    • The identities of the algebraic invariants of the four-dimensional Riemann tensor. III
    • G.E. Sneddon 1999 The identities of the algebraic invariants of the four-dimensional Riemann tensor. III J. Math. Phys. 40 5905 5920
    • (1999) J. Math. Phys. , vol.40 , pp. 5905-5920
    • Sneddon, G.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.