Kinetics of fragmentation

Kinetics of fragmentation

A general discussion of the kinetics of continuous, irreversible fragmentation processes is presented. For a linear process, where particle breakup is driven by an external force, we develop a scaling theory to describe the evolution of the cluster size distribution. We treat the general case where the breakup rate of a cluster of mass x varies as xi. When I > 0, corresponding to larger cluster...

Kinetics of fragmentation-annihilation processes.

We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, non-linear process, fragments react at collision to produce an inert species, causing loss of mass. We analyse these systems in the reaction-limited regime by solving a continuous model within the mean-field approximation. The rate of fragmentation, for a p...

Aggregation–Fragmentation Processes and Wave Kinetics

Kinetics of random aggregation-fragmentation processes with multiple components.

A computationally efficient algorithm is presented for exact simulation of the stochastic time evolution of spatially homogeneous aggregation-fragmentation processes featuring multiple components or conservation laws. The algorithm can predict the average size and composition distributions of aggregating particles as well as their fluctuations, regardless of the functional form (e.g., compositi...

Internal structure and fragmentation kinetics of silica granules

To improve the mechanical properties of tires, silica granules can be incorporated into the elastomer as well as carbon black. Ideally, the fragmentation of the granules in the elastomer must be obtained with low mechanical stresses and lead to very small fragments distributed homogeneously in the material. On the other hand, granules must present a sufficient cohesion, in order to avoid the ge...