Speaker
Jens Scholten
Description
The Becker-Döring equations are the simplest discrete coagulation-fragmentation model, where the cluster interaction only occurs through the monomers. Nonetheless, they are able to describe the phase transition of the underlying physical system and offer a rich mathematical study. We consider a straightforward extension, where clusters are build from two different types of monomers. The added dimension introduces surprising amounts of complexity both physically and mathematically. We investigate the resulting phase transition and propose a rigorous approach via an entropy-entropy dissipation estimate.