@Article{AndradeRibeRosa:2006:NoPhSt,
               author = "Andrade, A. P. A. and Ribeiro, A. L. B. and Rosa, Reinaldo 
                         Roberto",
          affiliation = "Laborat{\'o}rio de Astrof{\'{\i}}sica Te{\'o}rica e 
                         Observacional, Departamento de Ci{\^e}ncias Exatas e 
                         Tecnol{\'o}gicas, Universidade Estadual de Santa Cruz and 
                         Laborat{\'o}rio de Astrof{\'{\i}}sica Te{\'o}rica e 
                         Observacional, Departamento de Ci{\^e}ncias Exatas e 
                         Tecnol{\'o}gicas, Universidade Estadual de Santa Cruz and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Gradient pattern analysis of cosmic structure formation: Norm and 
                         phase statistics",
              journal = "Physica D: Nonlinear Phenomena",
                 year = "2006",
               volume = "223",
               number = "2",
                pages = "139--145",
             keywords = "Pattern formation, Gradient moments, Cosmic structure formation.",
             abstract = "This paper presents the preliminary results of the 
                         characterization of pattern evolution in the process of cosmic 
                         structure formation. We are applying to N-body cosmological 
                         simulations data the technique proposed by Rosa et al. [R.R. Rosa, 
                         A.S. Sharma, J.A. Valdivia, Int. J. Modern Phys. C 10 (1999) 147] 
                         and Ramos et al. [F.M. Ramos, et al., Physica A 283 (2000) 171] to 
                         estimate the time behaviour of asymmetries in the gradient field. 
                         The gradient pattern analysis is a well tested tool, used to build 
                         asymmetrical fragmentation parameters estimated over a gradient 
                         field of an image matrix able to quantify a complexity measure of 
                         nonlinear extended systems. In this investigation we work with the 
                         high resolution cosmological data simulated by the Virgo 
                         consortium, in different time steps, in order to obtain a 
                         diagnostic of the spatio-temporal disorder in the matter density 
                         field. We perform the calculations of the gradient vectors 
                         statistics, such as mean, variance, skewness, kurtosis, and 
                         correlations on the gradient field. Our main goal is to determine 
                         different dynamic regimes through the analysis of complex patterns 
                         arising from the evolutionary process of structure formation. The 
                         results show that the gradient pattern technique, specially the 
                         statistical analysis of second and third gradient moment, may 
                         represent a very useful tool to describe the matter clustering in 
                         the Universe.",
           copyholder = "SID/SCD",
                 issn = "0167-2789",
             language = "en",
           targetfile = "Gradient pattern analysis.pdf",
        urlaccessdate = "15 jun. 2024"
}