The book is based on stochastic theory of sediment motion, particularly the theory of transition intensities. It provides a complete theory and equation system of non-equilibrium transport of non-uniform suspended load. The content proposed theory reports, for the first time in literature, the general boundary condition of diffusion equations of non-equilibrium transport with transition intensities. The book also introduces the theoretical expressions of size distribution of the carrying sediment capacity, efficient bed material grade, and saturation recovery coefficient This book describes the application of non-equilibrium transport theory and provides solutions to some long-standing unsolved controversial problems related to sediment transport. It establishes a generic mathematic model of reservoir sedimentation and river channel evolution; illustrates the same transport regulars of wash load and bed material load; demonstrates the multi-valued nature of carrying-sediment capacity and its single-valued consideration; and describes the mechanism of bed material coarsening.  This book is of interest to a wide audience including students, technicians, and academics, primarily working in the field of river hydra-dynamics. In addition, this book receives attention from the research community working in fields, such as hydrogeology, hydraulic engineering, river navigation, wastewater treatment, and environmental protection