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https://repositorio.ufba.br/handle/ri/7385
metadata.dc.type: | Artigo de Periódico |
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 |
metadata.dc.creator: | Borges, Ernesto Pinheiro Tsallis, Constantino Añaños, Garín F. J. Oliveira, Paulo Murilo C. de |
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. |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/7385 |
Issue Date: | Dec-2002 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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e254103.pdf | 197,67 kB | Adobe PDF | View/Open |
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