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We study spatial correlations and structure factors in a three-statestochastic lattice gas, consisting of holes and two oppositely ``charged''species of particles, subject to an ``electric'' field at zero total charge.The dynamics consists of two nearest-neighbor exchange processes, occuring ondifferent times scales, namely, particle-hole and particle-particle exchanges.Using both, Langevin equations and Monte Carlo simulations, we study thesteady-state structure factors and correlation functions in the disorderedphase, where density profiles are homogeneous. In contrast to equilibriumsystems, the average structure factors here show a discontinuity singularity atthe origin. The associated spatial correlation functions exhibit intricatecrossovers between exponential decays and power laws of different kinds. Thefull probability distributions of the structure factors are universalasymmetric exponential distributions.Comment: RevTex, 18 pages, 4 postscript figures included, mistaken half-empty  page correcte

Structure factors and their distributions in driven two-species models