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

2000/09/20 by Yashodhan Hatwalne, Sriram Ramaswamy, Hatwalne, Yashodhan +1
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0009294

3 pages, no figures

arxiv created 2000/09/20 · arxiv updated 2009/11/30

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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