*Granular media modeled as mixtures with continuous diversity*

**Abstract:** The theory of mixtures has been employed since long time to model
different aspects of the physics of polydisperse granular media.
But using standard mixture theory has the shortcoming that just a
few constituents can be considered, otherwise calculations become
unfeasible. In other words, the mixture must have a low diversity.
This might be a crucial problem if one wants to model segregation,
fragmentation and abrasion in granular media consisting of a large
number of different grain types (e.g. a continuous distribution of
grain sizes or many different levels of roughness). It is the
intention of this presentation to show that, by considering a
polydisperse medium as a mixture with continuous diversity, one
reduces the problem of a large number of constituents to a simpler
problem of just one constituent described in a higher dimensional
space. Furthermore, abrasion and fragmentation arise spontaneously
in such a theory, with a clear and simple mathematical
interpretation. Finally, preliminary results suggesting that
segregation might be modeled by concepts similar to "chemical
potential" and "affinity" in a mixture with continuous diversity
will be discussed.