Detalhes da Produção

Tipo	Artigo Publicado
Grupo	Produção Bibliográfica
Descrição	OLIVEIRA, F. A. ; MELLO, B. A. ; XAVIER JUNIOR, I. M.. Scaling transformation of random walk distributions in a lattice. Physical Review E - Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics, v. 61, p. 7200-7203, 2000.
Autor	Bernardo de Assunção Mello
Ano	2000

Ano do artigo	2000
Descricão e Informacões Adicionais	We use a decimation procedure in order to obtain the dynamical renormalization group transformation (RGT) properties of random walk distribution in a 1+1 lattice. We obtain an equation similar to the Chapman-Kolmogorov equation. First we show the existence of invariants through the RGT. We also show the existence of functions which are semi-invariants through the RGT Second, we show as well that the distribution $R_q(x)=[1+b(q-1)x^2]^{1/(1-q)}$ ($q>1$), which is an exact solution of a nonlinear Fokker-Planck equation, is a semi-invariant for RGT. We obtain the map $q `=f(q)$ from the RGT and we show that this map has two fixed points: $q=1$, attractor, and $q=2$, repellor, which are the Gaussian and the Lorentzian, respectively. We show the connections between these result and the Levy flights.
Divulgacão Científica	NAO
DOI	10.1103/physreve.61.7200
Fascículo	6
Homepage do Trabalho	[doi:10.1103/physreve.61.7200]
Idioma	Inglês
ISSN	1063651X
local de publicacao	EUA
Meio de Divulgação	IMPRESSO
Natureza	COMPLETO
Página Final	7203
Página Inicial	7200
Relevância	NAO
Série	6
Título do Artigo	Scaling transformation of random walk distributions in a lattice
Título do Períodico ou Revista	Physical Review E - Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics
Volume	61