Renormalization group and perfect operators for stochastic differential equations

Qing Hou, Nigel Goldenfeld, Alan McKane

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageEnglish
    Article number036125
    Pages (from-to)361251-3612522
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Issue number3
    Publication statusPublished - Mar 2001


    Dive into the research topics of 'Renormalization group and perfect operators for stochastic differential equations'. Together they form a unique fingerprint.

    Cite this