Lacunarity Exponents

Autor: Wilkinson, Michael, Pradas, Marc, Huber, Greg, Pumir, Alain
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8121/ab0349
Popis: Many physical processes result in very uneven, apparently random, distributions of matter, characterized by fluctuations of the local density over orders of magnitude. The density of matter in the sparsest regions can have a power-law distribution, with an exponent that we term the lacunarity exponent. We discuss a mechanism which explains the wide occurrence of these power laws, and give analytical expressions for the exponent in some simple models.
Comment: 5 pages, 4 figures
Databáze: arXiv