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math-ph2019
An explicit large deviation analysis of the spatial cycle Huang-Yang-Luttinger model
Stefan Adams, Matthew Dickson
Here we introduce a family of spatial cycle HYL-type models in which the counter-term only affects cycles longer than some cut-off that diverges in the thermodynamic limit. We deri…
math-ph2019★ 10 cited
Cauchy-Born Rule from Microscopic Models with Non-convex Potentials
Stefan Adams, Simon Buchholz, Roman Kotecký +1
We study gradient field models on an integer lattice with non-convex interactions. These models emerge in distinct branches of physics and mathematics under various names. In parti…