PMMH’s weekly seminar is held every Friday at 11 am (map)

Contact :
Benoit Semin
Sylvain Patinet
Etienne Reyssat
responsables-seminaires (arobase)

75005 PARIS

Tel : (33) 1 40 79 45 22

Séminaire PMMH - Julian Talbot (LPTMC, Sorbonne Univ.)

Vendredi 21 janvier 11:00-12:00 - Salle réunion PMMH 1

Statistics and Optimisation of Random Pan Stacking

The stacking of objects is a familiar operation. For example, a common conundrum of daily life is how to arrange a collection of pots and pans so that the stack will fit in a kitchen cupboard. Because of the varying form and convex nature of the pans, the height will vary depending on the order in which they are stacked. Other examples in the macroscopic realm, which typically involve identical objects, include the stacking of bowls, cups and chairs. At the microscopic level, stacking is associated with self-assembly. Columnar formation has been observed in bowlics, a kind of liquid crystal, and colloidal nanodisks. Under some conditions red blood cells may stack to form rouleaux. Stacking also features in processes involving granular materials.

In this talk, I will present a minimal model for the one-dimensional, random stacking of distinct objects with varying degrees of inter-penetrability. For a given set of pans we examine how the height of the stack depends on the order of the pans and we will determine the configurations with the minimum and maximum height. While it is easy to identify the former, the configuration that maximizes the height is not trivial. We examine the nature of the degeneracy when a given height may correspond to several different orderings of the pans. We also seek the distributions of pan angles that optimize the mean stack height.


Seminars  (3)

Information for the speakers

The audience is composed of people with rather heterogeneous backgrounds including specialists in solids, fluids, granular flows, statistical physics... so the idea is to keep your talk understandable by people not necessarily working in your field... The seminar time slot runs from 11am to noon so the best is to make the talk last around 45 minutes to leave some time for discussion.

Link to cofee seminar (internal, every Thursday)


Practical information

Laboratoire : 01 40 79 45 22
Directeur : Damien Vandembroucq
Codirecteur : Philippe Petitjeans
Administratrice : Frédérique Auger (01 40 79 45 22)
Gestionnaire : Claudette Barez (01 40 79 58 53)
Courriel : dir (arobase)