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

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

2000-09-20

arxiv.org/abs/cond-mat/0009294v1

Physics

Condensed Matter

Soft Condensed Matter

3 pages, no figures

Scientific paper

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 Lam\'{e} 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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