  The detection of the theoretically expected dark matter is central to
particle physics and cosmology. Current fashionable supersymmetric models
provide a natural dark matter candidate which is the lightest supersymmetric
particle (LSP). The theoretically obtained event rates are usually very low or
even undetectable. So the experimentalists would like to exploit the modulation
effect. In the present paper we study a specific class of non-isothermal models
involving flows of caustic rings. We find that the modulation effect arising
from such models is smaller than that predicted by the isothermal models.
