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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/7385

Title: Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
Other Titles: Physical Review Letters
Authors: Borges, Ernesto Pinheiro
Tsallis, Constantino
Añaños, Garín F. J.
Oliveira, Paulo Murilo C. de
Issue Date: Dec-2002
Abstract: We consider nonequilibrium probabilistic dynamics in logisticlike maps xt+1=1-a|xt|z, (z>1) at their chaos threshold: We first introduce many initial conditions within one among W≫1 intervals partitioning the phase space and focus on the unique value qsen<1 for which the entropic form Sq≡(1 ∑i=1Wpiq)/(q-1) linearly increases with time. We then verify that Sqsen(t)-Sqsen(∞) vanishes like t-1/[qrel(W)-1] [qrel(W)>1]. We finally exhibit a new finite-size scaling, qrel(∞)-qrel(W)∝W-|qsen|. This establishes quantitatively, for the first time, a long pursued relation between sensitivity to the initial conditions and relaxation, concepts which play central roles in nonextensive statistical mechanics.
Description: p. 254103-1/4
URI: http://www.repositorio.ufba.br/ri/handle/ri/7385
ISSN: 0031-9007
Appears in Collections:Artigos Publicados em Periódicos (FIS)

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