Skip to main content
Log in

Hamiltonian Dynamics of Biaxial Nematics with the Molecular Shape Taken into Account

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We consider the dynamics of biaxial nematics following the Hamiltonian approach. The hydrodynamic parameters related to the broken symmetry are introduced in terms of the distortion tensor. The densities and flows of additive integrals of motion are represented in terms of the thermodynamic potential. We obtain the ideal hydrodynamic equations and study the spectra of collective excitations of biaxial nematics taking the molecular shape into account.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. J. L. Eriksen, Phys. Fluids, 9, 1205 (1966); F. M. Leslie, Arch. Ration. Mech. Analysis, 28, 265 (1968); P. C. Martin, O. Parodi, and P. J. Pershan, Phys. Rev. A, 6, 2401 (1972).

    Google Scholar 

  2. G. E. Volovik, JETP Letters, 31, 273 (1980); V. V. Lebedev and E. M. Kac, Dynamics of Liquid Crystals[in Russian], Nauka, Moscow (1988).

    Google Scholar 

  3. A. Isayev, M. Kovalevsky, and S. Peletminsky, Modern Phys. Lett. B, 8, 677 (1994).

    Google Scholar 

  4. W. M. Saslow, Phys. Rev. A, 25, 3350 (1982); M. Liu, Phys. Rev. A, 24, 2720 (1981); H. Brand and H. Pleiner, Phys. Rev. A, 24, 2777 (1981).

    Article  Google Scholar 

  5. M. Yu. Kovalevsky and V. V. Kuznetsov, Dokl. Akad. Nauk Ukr., 12, 90 (1999).

    Google Scholar 

  6. M. Kovalevsky and A. Shishkin, J. Kharkov Nat. Univ., 510, 31 (2001); J. Molecular Liquids, 105, 197 (2003).

    Google Scholar 

  7. L. D. Landau and E. M. Lifshits, Elasticity Theory[in Russian], Nauka, Moscow (1987).

    Google Scholar 

  8. A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics[in Russian], Nauka, Moscow (1977); English transl., Pergamon, New York (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. P. Ivashin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivashin, A.P., Kovalevsky, M.Y. & Logvinova, L.V. Hamiltonian Dynamics of Biaxial Nematics with the Molecular Shape Taken into Account. Theoretical and Mathematical Physics 140, 1316–1327 (2004). https://doi.org/10.1023/B:TAMP.0000039836.11145.de

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:TAMP.0000039836.11145.de

Navigation