  The recent developments in fluid/gravity correspondence give a new impulse to
the study of fluid dynamics of supersymmetric theories. In that respect, the
entropy current formalism requires some modifications in order to be adapted to
supersymmetric theories and supergravities. We formulate a new entropy current
in superspace with the properties: 1) it is conserved off-shell for non
dissipative fluids, 2) it is invariant under rigid supersymmetry
transformations 3) it is covariantly closed in local supersymmetric theories 4)
it reduces to its bosonic expression on space-time.
