An explicit relationship between steady-state size distribution and breakage kernel for limited breakage processes

Abstract

The steady-state particle-size distribution is examined, resulting from a breakage process with a maximum stable size. If the latter is much smaller than the characteristic size of the initial distribution, the steady-state distribution for continuous breakage kernels is independent of the breakage frequency and of initial conditions and is shown to be a simple function of the breakage kernel. For discontinuous kernels, the steady-state size distribution is always dependent on the initial conditions.