  We explore the scalar field quintessence freezing model of dark energy with
the inverse Ratra-Peebles potential. We study the cosmic expansion and the
large scale structure growth rate. We use recent measurements of the growth
rate and the baryon acoustic oscillation peak positions to constrain the matter
density $\Omega_\mathrm{m}$ parameter and the model parameter $\alpha$ that
describes the steepness of the scalar field potential. We solve jointly the
equations for the background expansion and for the growth rate of matter
perturbations. The obtained theoretical results are compared with the
observational data. We perform the Baysian data analysis to derive constraints
on the model parameters.
