Stably stratified turbulent flows are common in geophysics and astrophysics
, and frequently exhibit layered structures in which large regions of nearl
y constant fluid density are separated by sharp density gradients. Experime
nts have demonstrated that, under suitable conditions, the stirring of a st
ably stratified fluid generates these layer structures. In this paper, a st
ochastic one-dimensional model is used to study layer formation in stably s
tratified turbulence. The results support mixing length arguments previousl
y proposed to describe layers in steady state. (C) 2001 American Institute
of Physics.