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 TMF, 1977, Volume 32, Number 1, Pages 101–113 (Mi tmf3140)

Connection between the phenomenological and microscopic approaches in the theory of liquid crystals

B. I. Lev, P. M. Tomchuk

Abstract: Possibility of formulating the theory of liquid crystals on the basis of microscopic conceptions is considered. According to the N.  N. Bogoliubov method, the chain of equations for distribution functions depending on the position and spatial orientation of moleculi is obtained. On the basis of these equations the hydrodynamical equations of the liquid crystal are derived and the correspondence between the equations obtained and the equations used in the phenomenological theory of liquid crystal is established. Explicit form of the elasticity tensor is obtained and a scheme of obtaning the Franck elastic constants in terms of microscopic parameters is outlined.

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English version:
Theoretical and Mathematical Physics, 1977, 32:1, 624–632

Citation: B. I. Lev, P. M. Tomchuk, “Connection between the phenomenological and microscopic approaches in the theory of liquid crystals”, TMF, 32:1 (1977), 101–113; Theoret. and Math. Phys., 32:1 (1977), 624–632

Citation in format AMSBIB
\Bibitem{LevTom77} \by B.~I.~Lev, P.~M.~Tomchuk \paper Connection between the phenomenological and microscopic approaches in the theory of liquid crystals \jour TMF \yr 1977 \vol 32 \issue 1 \pages 101--113 \mathnet{http://mi.mathnet.ru/tmf3140} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 32 \issue 1 \pages 624--632 \crossref{https://doi.org/10.1007/BF01041437}