Langevin Dynamics of a Semi-Infinite Interface
1997, v.3, Issue 3, 261-274
The dynamics of a one-dimensional semi-infinite interface is modelled by a system of countably many diffusions with nearest neighbour quartic interactions. An a priori estimate, global in time, is derived for finite subsystems, with constants uniform in the size of the subsystem. Existence and uniqueness of the time evolution is deduced for the infinite system. For the case of a weakly non-linear system, local equilibrium properties are verified up to the second order of perturbation theory.
Keywords: Langevin dynamics,local equilibrium,SOS model