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Antoinette Tordesillas
Department of Mathematics and Statistics, University of Melbourne
Searching for grains of truth
Thursday 2nd, March 11:05-11:55pm,
Carslaw Building Room 173.
In 1987, Per Bak, Chao Taug, and Kurt Wiesenfeld published a now
famous paper in Physical Review Letters, proposing the theory of
self-organized criticality, in which they used an all-too-common
sight - a sand pile - as a paradigm for complex systems out of
equilibrium (e.g. an outbreak of a war, a stock market crash, forest
fires). Sand, M&Ms, powders, pharmaceutical pills, grains and other
granular materials exhibit a vast range of complex phenomena that
defy our usual classification of matter into a solid, liquid or gas.
Take, for example, vacuum-packed coffee: under pressure, it is a
solid-like material as hard as a brick, but when opened and poured
into a container, it flows like water. In common with other complex
systems, the simplest unit in a granular assembly, i.e. the
interaction of two particles in contact, is well understood. The
complexity emerges from the collective behaviour of the whole
assembly, which ultimately arises from internal mechanisms developed
on multiple length scales. Recently, non-invasive experimental
studies have given remarkable insight into the evolution of these
mechanisms, thereby providing benchmarks and a unique opportunity for
the theoretical modelling of these systems. In this talk, challenges
in our quest to develop micromechanical constitutive models that can
capture these multiscale mechanisms will be presented.
Multidisciplinary collaborations with experimentalists and
theoreticians from physics, geomechanics and geology constitute an
underpinning aspect of this program that will also be discussed.
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