A dynamical systems approach to mixing and segregation of granular materials in tumblers

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Complexity, segregation, and pattern formation in rotating-drum flows (2011, background): “Melo (1993) then wrote the parameter as a function of the area A yielding 1⁄4 ð2 Þ2 R(3) =gA(2). This expression reveals that is constant along a straight line in the plane ð ; A2Þ. Consequently, in a phase diagram displaying the critical state-transition values of as a function of A(2), each state ”
Frontiers of chaotic advection (2014, methodology): “…maps with nontoroidal invariant surfaces (Gómez and Meiss, 2002; Mullowney et al., 2008a,b), the 3D sphere-driven flow of Moharana et al. (2013), the 3D lid-driven cube of Anderson et al. (1999, 2006) and 3D granular flows inside a spherical tumbler (Meier et al., 2007; Sturman et al., 2008).”