Change is coming to MEMOCS:
This journal is becoming a
subscription journal with select diamond open-access articles.
Read more about it.
Abstract
|
We study a system of
layers with a Kac horizontal interaction of parameter
and a Kac vertical
interaction of parameter
.
We shall prove that the limit free energy functional is the rate function
of the large deviations of the Gibbs measure (of a canonical constrained
magnetization). The limit free energy functional is achieved as a
-limit
for
for magnetizations with fixed average. Among all such magnetizations there exists a
quasiconstant magnetization that minimizes the energy.
|
Keywords
Kac potential, mesoscopic limit, $\Gamma$-convergence
|
Mathematical Subject Classification 2010
Primary: 82B24
|
Milestones
Received: 11 July 2017
Revised: 21 June 2018
Accepted: 24 July 2018
Published: 1 October 2018
Communicated by Raffaele Esposito
|
|