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- Ashley G. Smart, Luis A. N. Amaral, Julio M. Ottino
- Proceedings of the National Academy of Sciences…
- 2008

We investigate the relationship between structure and robustness in the metabolic networks of Escherichia coli, Methanosarcina barkeri, Staphylococcus aureus, and Saccharomyces cerevisiae, using a cascading failure model based on a topological flux balance criterion. We find that, compared to appropriate null models, the metabolic networks are exceptionally… (More)

We briefly describe the toolkit used for studying complex systems: nonlinear dynamics, statistical physics, and network theory. We place particular emphasis on network theory—the topic of this special issue—and its importance in augmenting the framework for the quantitative study of complex systems. In order to illustrate the main issues, we briefly review… (More)

- Julio M. Ottino
- Nature
- 2004

Scientific breakthroughs occur at the edges of disciplines. Often ideas originating in one field find successful applications in other fields, sometimes leading to revolutionary shifts. Complexity is regarded by many to be such an example. Complex systems can be identified by what they do — display organization without a central organizing principle… (More)

- Kenneth Smith, Julio M. Ottino, Mónica Olvera de la Cruz
- Physical review. E, Statistical, nonlinear, and…
- 2004

We analyze the dynamics of a two-dimensional drop lying on a fluid interface, sometimes called a liquid lens, subjected to simple shear flow. The three fluids, the drop and the two external fluids, meet at a triple point (or a triple line in three dimensions). A requirement for steady drop shapes is that the triple points are stationary. This leads to a… (More)

Granular flow in a rotating tumbler is of theoretical and industrial significance. However, in spite of its relative simplicity, little is known about the dynamics of the top flowing layer. Here we present an experimental study of the velocity field within the fluidized layer of monodisperse particles in a quasi-2D ~two-dimensional! rotating tumbler in the… (More)

- Julio M. Ottino, Stephen Wiggins
- Philosophical transactions. Series A…
- 2004

In this paper we briefly review the main issues associated with mixing at the microscale and introduce the papers comprising the Theme Issue.

Granular materials segregate. Small differences in either size or density lead to flow-induced segregation, a complex phenomenon without parallel in fluids. Modeling of mixing and segregation processes requires the confluence of several tools, including continuum and discrete descriptions (particle dynamics, Monte Carlo simulations, cellular automata… (More)

Mixing of granular solids is invariably accompanied by segregation, however, the fundamentals of the process are not well understood. We analyze density and size segregation in a chute flow of cohesionless spherical particles by means of computations and theory based on the transport equations for a mixture of nearly elastic particles. Computations for… (More)

- Kimberly M. Hill, Devang V. Khakhar, James F. Gilchrist, Jay J. McCarthy, Julio M. Ottino
- Proceedings of the National Academy of Sciences…
- 1999

An important industrial problem that provides fascinating puzzles in pattern formation is the tendency for granular mixtures to de-mix or segregate. Small differences in either size or density lead to flow-induced segregation. Similar to fluids, noncohesive granular materials can display chaotic advection; when this happens chaos and segregation compete… (More)

Fluid mixing is a successful application of chaos. Theory anticipates the coexistence of order and disorder-symmetry and chaos-as well as self-similarity and multifractality arising from repeated stretching and folding. Experiments and computations, in turn, provide a point of confluence and a visual analog for chaotic behavior, multiplicative processes,… (More)