Scale-dependence of Elastic Constants in the Decoupled Lamellar Phase of Tethered Crystalline Membranes

Yashodhan Hatwalne; Sriram Ramaswamy

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Scale-dependence of Elastic Constants in the Decoupled Lamellar Phase of Tethered Crystalline Membranes

Yashodhan Hatwalne·Sriram Ramaswamy

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Abstract

We analyse the effect of thermal fluctuations on the elastic constants of the decoupled lamellar phase of tethered, crystalline membranes. Using a momentum-shell renormalization group technique, we show that the smectic-A -like compressional elastic constant, the in-plane Lamé coefficients, and the cross-coupling elastic constant vanish as (\ln q)^{- a} whereas the bend elastic constant diverges as (\ln q)^{b}, with a, b > 0, as the wavenumber q tends to zero. The exponents a and b satisfy the relation a + 3b = 2.

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Yashodhan Hatwalne, Sriram Ramaswamy. 2000-09-20. Scale-dependence of Elastic Constants in the Decoupled Lamellar Phase of Tethered Crystalline Membranes. https://arxiv.org/abs/cond-mat/0009294

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