Artigo
Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
Registro en:
1079-7114
© 1995 The American Physical Society
Autor
Souza, André Maurício Conceição de
Tsallis, Constantino
Levy, Silvio V. F.
Maynard, Roger
Institución
Resumen
We show that the use of the recently proposed thermostatistics based on the generalized entropic form Sq≡k(1-Σipiq)/(q-1) (where q∈R, with q=1 corresponding to the Boltzmann-Gibbs-Shannon entropy -kΣipi ln pi), together with the Lévy-Gnedenko generalization of the central limit theorem, provide a basic step towards the understanding of why Lévy distributions are ubiquitous in nature. A consistent experimental verification is proposed.