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VOLUME 81 (2005) | ISSUE 1 | PAGE 27
Isotropic phase of nematics in porous media
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 - \varepsilon dimensions yields to a dimensional reduction and three-exponent scaling.