2022/03/05 by Themis Matsoukas, Matsoukas, Themis
Materials Science · Mathematics · Physics and Astronomy · #Arithmetic #Binary number #Combinatorics #Computer science #FOS: Physical sciences #Fragmentation (computing) #High-Velocity Impact and Material Behavior #Kernel (algebra) #Mathematical Physics (math-ph) #Mathematics #Physics #Statistical physics #Statistics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.2203.02618
published in arXiv (Cornell University) (Cornell University)
arxiv created 2022/03/05 · openalex publication_date 2022/03/05 · arxiv updated 2022/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The fragmentation equation is commonly expressed in terms of two functions, the rate of fragmentation and the mean number of fragments. In the case of binary fragmentation an alternative description is possible based on the fragmentation kernel, a function from which the rate of fragmentation and the mean distribution of fragments can be obtained. We extend the fragmentation kernel to multinary/multicomponent fragmentation and derive expressions for certain special cases of random and non random fragmentation.