mriselMagnetic Resonance in SolidsMagnetic Resonance in Solids2072-5981Kazan Federal Universitymrisel-226Research ArticleСтатьиIsotropic phase of nematics in porous media (in English)KhasanovB. M.

Kazan 420008

Kazan State UniversityRussian Federation20042201202461Special Issue95102Copyright © Khasanov B.M., 20242024Khasanov B.M.Khasanov B.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mrsej.ru/jour/article/view/226

We study the effect of random porous matrices on the isotropic- nematic phase transition. Sufficiently close to the cleaning temperature, both random field and thermal fluctuations are important as disordering agents. A novel random field fixed point of renormalization group equation was found that controls the transition from isotropic to the replica symmetric phase. Explicit evaluation of the exponents in d  = 6 – ε dimensions yields to a dimensional reduction and three-exponent scaling.

ReferencesLiquid Crystals in Complex Geometries, edited by G.P. Crawford and S. Zumer (Taylor Francis, London, 1996).Liquid Crystals in Complex Geometries, edited by G.P. Crawford and S. Zumer (Taylor Francis, London, 1996).X-1. Wu, W.I. Goldburg, M.X. Liu, and J.Z. Xue, Phys. Rev. Lett. 69, 470 (1992); T.Bellini, N.A.Clark, and D.W.Schaefer, ibid. 74, 2740 (1995).X-1. Wu, W.I. Goldburg, M.X. Liu, and J.Z. Xue, Phys. Rev. Lett. 69, 470 (1992); T.Bellini, N.A.Clark, and D.W.Schaefer, ibid. 74, 2740 (1995).A. Maritan, M. Cieplak, T. Bellini, and J.R. Banavar, Phys. Rev. Lett. 72, 4113 (1993); A. Maritan, M. Cieplak, and J.R. Banavar, (Ref. [1]), Chap.22.A. Maritan, M. Cieplak, T. Bellini, and J.R. Banavar, Phys. Rev. Lett. 72, 4113 (1993); A. Maritan, M. Cieplak, and J.R. Banavar, (Ref. [1]), Chap.22.K. Uzelac, A. Hasmy, and R. Jullien, Phys. Rev. Lett. 74, 422 (1995).K. Uzelac, A. Hasmy, and R. Jullien, Phys. Rev. Lett. 74, 422 (1995).G.S. Iannacchione, S. Qian, D. Finotello, and F.M. Aliev, Phys. Rev. E 56, 554 (1997).G.S. Iannacchione, S. Qian, D. Finotello, and F.M. Aliev, Phys. Rev. E 56, 554 (1997).A. Mertelj and M. Copic, Phys. Rev. E 55, 504 (1997).A. Mertelj and M. Copic, Phys. Rev. E 55, 504 (1997).D.J. Cleaver, S. Kralj, T.J. Sluckin, and M.P. Allen, (Ref. [1]), Chap.21.D.J. Cleaver, S. Kralj, T.J. Sluckin, and M.P. Allen, (Ref. [1]), Chap.21.Y. Imry and S.K. Ma, Phys. Rev. Lett. 35, 1399 (1975).Y. Imry and S.K. Ma, Phys. Rev. Lett. 35, 1399 (1975).E.I. Kats, JETP Lett. 65, 725 (1997).E.I. Kats, JETP Lett. 65, 725 (1997).L. Radzihovsky and J. Toner, Phys. Rev. Lett. 79, 4214 (1997).L. Radzihovsky and J. Toner, Phys. Rev. Lett. 79, 4214 (1997).J. Chakrabarti, Phys. Rev. Lett. 81, 385 (1998).J. Chakrabarti, Phys. Rev. Lett. 81, 385 (1998).D.E. Feldman, Phys. Rev. Lett. 84, 4886 (2000).D.E. Feldman, Phys. Rev. Lett. 84, 4886 (2000).N. Uchida, Phys. Rev. E 60, R13 (1999).N. Uchida, Phys. Rev. E 60, R13 (1999).T. Nattermann, in Spin glasses and random fields, edited by A.P. Young (World Scientific, Singapore, 1998), P.277; e-print cond-mat/9705295.T. Nattermann, in Spin glasses and random fields, edited by A.P. Young (World Scientific, Singapore, 1998), P.277; e-print cond-mat/9705295.M. Mezard, G. Parisi, and M. Virasoro, Spin-Glass Theory and Beyond, (World Scientific, Singapore, 1987); Vik.Dotsenko, Phys. Usp. Fiz. 38(5), 1 (1995).M. Mezard, G. Parisi, and M. Virasoro, Spin-Glass Theory and Beyond, (World Scientific, Singapore, 1987); Vik.Dotsenko, Phys. Usp. Fiz. 38(5), 1 (1995).G. Parisi, J. Phys. A 13, 1101 (1980).G. Parisi, J. Phys. A 13, 1101 (1980).C. De Dominicis, H. Orland, and T. Temesvari, J. Phys.I France 5, 987 (1995)C. De Dominicis, H. Orland, and T. Temesvari, J. Phys.I France 5, 987 (1995)P.G. de Gennes and J. Prost, The Physics of Liquid Crystals, (Clarendon, Oxford, 1993).P.G. de Gennes and J. Prost, The Physics of Liquid Crystals, (Clarendon, Oxford, 1993).R.G. Priest and T.C. Lubensky, Phys. Rev. B 13, 4159 (1976).R.G. Priest and T.C. Lubensky, Phys. Rev. B 13, 4159 (1976).P.B. Vigman, A.I. Larkin, and V.M. Filev, Sov.Phys. JETP 41, 944 (1976).P.B. Vigman, A.I. Larkin, and V.M. Filev, Sov.Phys. JETP 41, 944 (1976).J. Rudnick and D.R. Nelson, Phys. Rev. B 13, 2208 (1976).J. Rudnick and D.R. Nelson, Phys. Rev. B 13, 2208 (1976).G. Grinstein, Phys. Rev. Lett. 37, 944 (1976).G. Grinstein, Phys. Rev. Lett. 37, 944 (1976).M. Schwartz and A. Soffer, Phys. Rev. Lett. 55, 2499 (1985).M. Schwartz and A. Soffer, Phys. Rev. Lett. 55, 2499 (1985).D. Fisher, Phys. Rev. Lett. 56, 416 (1986).D. Fisher, Phys. Rev. Lett. 56, 416 (1986).J. Villain, J. Phys.(Paris) 46, 1843 (1985).J. Villain, J. Phys.(Paris) 46, 1843 (1985).A. Aharony and A.B. Harris, Phys. Rev. Lett. 77, 3700 (1996).A. Aharony and A.B. Harris, Phys. Rev. Lett. 77, 3700 (1996).T. Temesvari and C. De Dominicis, Phys. Rev. Lett. 89, 097204 (2002).T. Temesvari and C. De Dominicis, Phys. Rev. Lett. 89, 097204 (2002).

The authors declare that there are no conflicts of interest present.