A first step toward reaping the full benefit of using renormalization group in the study of dynamics of spatially extended systems is presented. A perfect representation of stochastic partial differential equations (PDE) is proposed, which not only integrates out the small-scale degrees of freedom, but also develop nonlocal representations of the underlying equations that are free of lattice artifacts. It was demonstrated, by computing the dispersion relation for elementary excitations, and comparing the results at large wave numbers with theoretical expressions valid in the continuum limit.
|Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
|Published - Mar 2001