Communications in Mathematical Sciences

Volume 8 (2010)

Number 1

Special Issue on the Occasion of Andrew Majda’s Sixtieth Birthday: Part I

On the high intensity limit of interacting corpora

Pages: 173 – 186

DOI: http://dx.doi.org/10.4310/CMS.2010.v8.n1.a9

Authors

Peter Constantin

Andrej Zlatoš

Abstract

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.

Keywords

Onsager equation; free energy; zero temperature limit; metric space

2010 Mathematics Subject Classification

58D99, 82D30

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