The dynamic of entropic repulsion

This paper studies the dynamic entropic repulsion for the Ginzburg–Landau ∇ ϕ interface model on the wall. Depending on the lattice dimension d , the interface is repelled as t → ∞ to log t for d ≥ 3 and log t for d = 2 . In the harmonic case with a quadratic interaction potential, the exact coefficient is identified. The main tools used are the comparison theorem for the stochastic dynamics and the logarithmic Sobolev inequality.