Multiscaling in fragmentation

✍ Scribed by E. Ben-Naim; P.L. Krapivsky

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 312 KB
• Volume: 107
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00080-8

✦ Synopsis

We review recent results on random fragmentation of multidimensional objects. In addition to the obvious volume conservation, these processes exhibit an infinite number of hidden conservation laws. The fragment size distribution is characterized by an infinite number of scales and thus, exhibits multiscaling. Nevertheless, the volume distribution function shows ordinary scaling, i.e., it is characterized by a single scale.