MRSej, Vol. 6, No.1, pp.95-102, 2004

ISOTROPIC PHASE OF NEMATICS IN POROUS MEDIA

B.M. Khasanov

Kazan State University , Kazan 420008, Russia

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 –  $\epsilon$ dimensions yields to a dimensional reduction and three-exponent scaling.