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Paper
Breakdown of elasticity theory in nematic polymers
Abstract
It is shown that linearized elasticity theory fails for nematic polymers in less than four dimensions. Instead, the polymer osmotic elastic modulus E and the elastic moduli K2 and K3 all become singular functions of wave vector q as q0, with E vanishing like q and K2,3 diverging like q2,3-. These exponents satisfy an exact scaling relation +2+3=1 in three dimensions, and are calculated to second order in =4-d, yielding =0.460.015, 2=0.280.015, and 3=0.210.015 in d=3. © 1992 The American Physical Society.