Quantum spinodal decomposition

We study the process of spinodal decomposition in a scalar quantum field theory that is quenched from an equilibrium disordered initial state at ${\mathit{T}}_{\mathit{i}}$>${\mathit{T}}_{\mathit{f}}$ to a final state at ${\mathit{T}}_{\mathit{f}}$≊0. The process of the formation and growth of correlated domains is studied in a Hartree approximation. We find an approximate scaling law for the size of the domains ${\xi }_{\mathit{D}}$(t)≊ √t${\xi }_0$ at long times for weakly coupled theories, where ${\xi }_0$ is the zero-temperature correlation length.