Anharmonic effects in bulk smectic liquid crystals and other "one-dimensional solids"

Anharmonic corrections to the familiar harmonic description of "one-dimensional solids" (i.e., liquids which develop a one-dimensional mass-density wave) are calculated by analytic renormalization-group methods in three dimensions. The elastic constants describing the compressional and undulational modes respectively vanish and diverge logarithmically at small wave vectors. Density correlations decay as r-x with x=(T)(lnr)I, where the exponent I assumes the universal value 15. © 1981 The American Physical Society.