We present a study of the persistent X-ray emission from the low-mass
X-ray binary 4U 1636-53 based on the entire archival EXOSAT ME data se
t. We performed a homogeneous analysis of all five EXOSAT observations
in terms of the correlated rapid X-ray variability and X-ray spectral
properties by means of power spectra, and colour-colour and hardness-
intensity diagrams, respectively Over the years we find similar patter
ns in the colour-colour diagram and the hardness-intensity diagram, bu
t small shifts in their positions occur. We find one case of an island
-banana transition. On all but one occasion the differences in colours
are smaller than 5%. Between the two ''island state'' data sets we fi
nd a shift of 8% in the soft colour, which must be at least partly int
rinsic. Clear correlations are present between the X-ray colours (whic
h are governed by the mass accretion rate) and the power spectrum. Wit
h increasing mass accretion rate the fractional rms amplitude of the p
ower-law shaped power spectral component that dominates the power spec
tra below similar to 1 Hz rises, while the band-limited noise componen
t at higher frequencies drops. The cut-off frequency of the band-limit
ed component increases when its amplitude decreases. This is reminisce
nt of the behaviour of black-hole candidates in the low state.