  Low-frequency radio observations show an increasing number of radio galaxies
located in galaxy clusters that display peculiar morphologies and spectral
profiles. This is the result of the dynamical interaction of the galaxy with
the surrounding medium. Studying this phenomenon is key to understanding the
evolution of low-energy relativistic particles in the intracluster medium. We
present a multi-frequency study of the three head-tail (HT) radio galaxies and
the radio halo in the galaxy cluster ZwCl0634.1+4747. We make use of
observations at four frequencies performed with LOFAR LBA (53 MHz), HBA (144
MHz), GMRT (323 MHz) and VLA (1518 MHz) data. The use of extremely low radio
frequency observations, such as LOFAR at 53 and 144 MHz, allowed us to detect
the extension of the tails up to a distance of ~ 1 Mpc. We extracted spectral
profiles along the tails in order to identify possible departures from a pure
ageing model, such as the Jaffe-Perola (JP) model, which only involves
synchrotron and inverse-Compton losses. We found clear evidence of departures
from this simple ageing model, such as surface brightness enhancement and
spectral flattening along all of the tails. This can be interpreted as the
consequence of particle re-acceleration along the tails. Possible explanations
for this behaviour include the interaction between a shock and the radio tails
or a turbulence-driven re-acceleration mechanism. We show that the latter
scenario is able to reproduce the characteristic features that we observed in
our profiles.
