author = "Rempel, Erico Luiz and Gomes, Tiago Francisco Pinheiro and Silva, 
                         Suzana S. A. and Chian, Abraham Chian Long",
          affiliation = "{Instituto Tecnol{\'o}gico de Aeron{\'a}utica (ITA)} and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Tecnol{\'o}gico de Aeron{\'a}utica (ITA)} and {Instituto 
                         Tecnol{\'o}gico de Aeron{\'a}utica (ITA)}",
                title = "Objective magnetic vortex detection",
              journal = "Physical Review E",
                 year = "2019",
               volume = "99",
               number = "4",
                pages = "e043206",
                month = "Apr.",
             abstract = "Magnetic coherent vortical structures are ubiquitous in space and 
                         astrophysical plasmas and their detection is key to understanding 
                         the nature of the intrinsic turbulence in those conducting fluids. 
                         A recently developed method to detect magnetic vortices is 
                         explored in problems of two- and three-dimensional 
                         magnetohydrodynamic simulations. The integrated averaged current 
                         deviation, the normed difference of the current density at a point 
                         and the mean current density in the domain, integrated along a 
                         magnetic field line, is proved to be objective, i.e., invariant 
                         under rotations and translations of the observer. The method is 
                         shown to detect accurately the boundary of magnetic vortices in 
                         two-dimensional simulations, as well as magnetic flux ropes in 
                         three dimensions.",
                  doi = "10.1103/PhysRevE.99.043206",
                  url = "http://dx.doi.org/10.1103/PhysRevE.99.043206",
                 issn = "1539-3755",
             language = "en",
           targetfile = "PhysRevE.99.043206.pdf",
        urlaccessdate = "26 nov. 2020"