Patterns and collective behavior in granular media: Theoretical concepts

By Igor S. Aranson, Lev S. Tsimring. 2005

672 citations recorded by the source corpus.

Granular materials are ubiquitous in our daily lives. While they have been a subject of intensive engineering research for centuries, in the last decade granular matter attracted significant attention of physicists. Yet despite a major efforts by many groups, the theoretical description of granular systems remains largely a plethora of different, often contradicting concepts and approaches. Authors give an overview of various theoretical models emerged in the physics of granular matter, with the focus on the onset of collective behavior and pattern formation. Their aim is two-fold: to identify general principles common for granular systems and other complex non-equilibrium systems, and to elucidate important distinctions between collective behavior in granular and continuum pattern-forming systems.

Subfields: Computational Mechanics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/812d1a8d3c8851b07e5995185371ac13d66e33f4

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In Computational Mechanics

In Materials Chemistry

Citations in the corpus

Phase diagram of vertically shaken granular matter (2006, background): “14 shows the full range of phases that granular matter can display, behaving either like a solid, a fluid, or a gas [99, 100, 101, 102, 103].”
Flows of Dense Granular Media (2008, background): “The model describes nontrivial behaviors observed when triggering avalanches on an inclined plane but fails to predict the correct rheology (Aranson & Tsimring 2006).”
Avalanche mobility induced by the presence of an erodible bed and associated entrainment (2007, positive): “This partial fluidization model has been shown to be able to reproduce a large spectrum of experimental results [e.g., Aranson et al. , 2006] and has been calibrated with molecular dynamics simulations [ Volfson et al. , 2003].”
Modelling size segregation of granular materials: the roles of segregation, advection and diffusion (2014, background): “…problem in many industrial contexts due to their tendency to form undesirable inhomogeneous particle configurations in tumblers, heaps, chutes, and silos (Pouliquen et al. 1997; Makse et al. 1997; Ottino & Khakhar 2000; Aranson & Tsimring 2006; Meier et al. 2007; Fan et al. 2012; Bridgwater 2012).”
Deformation and flow of amorphous solids: Insights from elastoplastic models (2017, background): “…for the fluidity variable f that should enter a diffusive equation include the ratio between the ‘static’ and the ‘fluid’ part of the stress tensor (Aranson and Tsimring, 2006) and the inertial number I, which Bouzid et al. (2015b) claim to best match their discrete-element simulations, in…”