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Boundary driven weakly asymmetric Blume-Capel model: Large deviations for mixed Dirichlet-Neumann boundary conditions
We consider the Blume-Capel spin model on a finite cylinder with reservoirs at the boundary. A model with spin variable $σ$ taking values in {-1, 0, 1}, with the superposition of two dynamics: in the bulk, the spins evolve according to a weakly asymmetric dynamics; and the boundary dynamics follows
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