Connection between the phenomenological and microscopic approaches in the theory of liquid crystals
B. I. Lev, P. M. Tomchuk
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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Theoretical and Mathematical Physics, 1977, 32:1, 624–632
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
\by B.~I.~Lev, P.~M.~Tomchuk
\paper Connection between the phenomenological and microscopic approaches in the theory of liquid crystals
\jour Theoret. and Math. Phys.
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