At the mentioning of the word condensation, we usually think about liquid-gas transition or Bose-Einstein condensation. Here, I will discuss a condensation transition that appears in three seemingly unrelated phenomena: coalescence in compartmentalized shaken granular gases, bankruptcy of a non-life insurance company and localization (or self-focusing) in some non-integrable Hamiltonian systems with two conservation laws. In the first part, I will review a link between the first two examples using a simplified interacting particle system called zero-range process and a mathematical theory of large deviations, which describes the probability of rare events. In the second part, I will present our recent results on condensation induced by imposing more than one conservation law, and thus establish a connection with the third example.
This is a weekly series of informal talks given primarily by members of the soft condensed matter and statistical mechanics groups, but is also open to members of other groups and external visitors. The aim of the series is to promote discussion and learning of various topics at a level suitable to the broad background of the group. Everyone is welcome to attend..