In this talk I'\;ll present a statistical model of polymer-chain netwo rks based and shall study its limit in the regime of small chain-size. In a first part I will consider the associated free energy and prove a large- deviation principle with a rate-function given by the free energy of a con tinuum model (that takes the form of the integral of a quasiconvex energy density). In a second part\, assuming that the Hamiltonian is independent of the temperature I'\;ll establish the convergence of the rate-functio n to the (corresponding) Gamma-limit in the regime of small temperature. I will conclude with an application to polymer-physics\, for which the &quo t\;coarse-grained"\; Hamiltonian depends itself on temperature\, and s hall consider a diagonal regime.

This is based on a joint work with Marco Cicalese (Munich) and Matthias Ruf (Brussels).

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS T Austria ORGANIZER:jdeanton@ist.ac.at SUMMARY:From the statistical physics of polymer-chain networks to nonlinear elasticity URL:https://talks-calendar.app.ist.ac.at/events/1281 END:VEVENT END:VCALENDAR