Based on a simple model of spin-dependent scattering, an improved micr
oscopic approach is proposed to describe the magnetoresistance in gran
ular magnetic systems. The feature is the explicit account of correlat
ed scattering of conduction electrons between granule pairs and of tra
nsitions between spin-up and spin-down states. Besides the usual term,
proportional to the square of the magnetization, an extra contributio
n to the magnetoresistance ratio Delta rho/rho is obtained, proportion
al to the correlator [cos theta(12)], where theta(12) is the angle bet
ween magnetic moments of neighbor granules. The field dependence of De
lta rho/rho, together with its dependencies on granule concentration,
granule mean size, granule size distribution, temperature and annealin
g effects, are considered, leading to a reasonable agreement with avai
lable experimental data. [S0163-1829(98)02925-7].