Probability of rebound and eject of sand particles in wind-blown sand movement

When incident particles impact into a sand bedin wind-blown sand movement,rebound of the incident par-ticles and eject of the sand particles by the incident particlesaffect directly the development of wind sand flux.In order toobtain rebound and eject lift-off probability of the sand par-ticles,we apply the particle-bed stochastic collision modelpresented in our pervious works to derive analytic solutionsof velocities of the incident and impacted particles in the post-collision bed.In order to describe randomness inherent inthe real particle-bed collision,we take the incident angle,theimpact position and the direction of resultant action of sandparticles in sand bed on the impacted sand particle as ran-dom variables,and calculate the rebound and eject velocities,angles and coefficients(ratio of rebound and eject velocity toincident velocity).Numerical results are found in accordancewith current experimental results.The rebound and eject lift-off probabilities versus the incident and creeping velocitiesare predicted.