We propose a simple configuration of a one-dimensional parallel array of Jo
sephson junctions in which the pinning potential for trapped fluxons lacks
inversion symmetry (ratchet potential). This system can be modelised by a s
et of non-linear pendula with alternating lengths and asymmetric harmonic c
ouplings. We show, by molecular dynamics simulation, that fluxons behave as
single particles in which the predictions for overdamped thermal ratchets
can be easily verified.