The dynamic of entropic repulsion

This paper studies the dynamic entropic repulsion for the Ginzburg–Landau ∇ϕ∇ϕ interface model on the wall. Depending on the lattice dimension dd, the interface is repelled as t→∞t→∞ to logt for d≥3d≥3 and logtlogt for d=2d=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.