Communications in Mathematical Sciences
Volume 8 (2010)
Special Issue on the Occasion of Andrew Majda’s Sixtieth Birthday: Part I
On the high intensity limit of interacting corpora
Pages: 173 – 186
We characterize the high intensity limits of minimal free energy states for interacting corpora - that is, for objects with finitely many degrees of freedom, such as articulated rods. These limits are measures supported on zero-level-sets of the interaction potential. We describe a selection mechanism for the limits that is mediated by evanescent entropic contributions.
Onsager equation; free energy; zero temperature limit; metric space
2010 Mathematics Subject Classification