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We study structure formation using relativistic cosmological linearperturbation theory in the presence of intrinsic and relative (with respect tomatter) non-adiabatic dark energy perturbations. For different dark energymodels we assess the impact of non-adiabaticity on the matter growth promotinga comparison with growth rate data. The dark energy models studied lead topeculiar signatures of the (non)adiabatic nature of dark energy perturbationsin the evolution of the $f \sigma_{8}(z)$ observable. We show thatnon-adiabatic DE models become close to be degenerated with respect to the$\Lambda$CDM model at first order in linear perturbations. This would avoid theidentification of the non-adiabatic nature of dark energy using currentavailable data. Therefore, such evidence indicates that new probes arenecessary to reveal the non-adiabatic features in the dark energy sector.

Revealing the non-adiabatic nature of dark energy perturbations from galaxy clustering data