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In this paper, we study physical measures for partially hyperbolicdiffeomorphisms with multi one-dimensional centers under the condition that allGibbs $u$-states are hyperbolic. We prove the finiteness of ergodic physicalmeasures. Then by building a criterion for the basin covering property ofphysical measures, we obtain the basin covering property for ergodic physicalmeasures when there exists some limit measure of empirical measures forLebesgue almost every point that admits the same sign of Lyapunov exponents oneach center.

Physical measures on partially hyperbolic diffeomorphisms with multi 1-D centers