Fixing the fixed-point system - Applying Dynamic Renormalization Group to systems with long-range interactions

Eytan Katzav*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, a mode of using the Dynamic Renormalization Group (DRG) method is suggested in order to cope with inconsistent results obtained when applying it to a continuous family of one-dimensional nonlocal models. The key observation is that the correct fixed-point dynamical system has to be identified during the analysis in order to account for all the relevant terms that are generated under renormalization. This is well established for static problems, however poorly implemented in dynamical ones. An application of this approach to a nonlocal extension of the Kardar-Parisi-Zhang equation resolves certain problems in one-dimension. Namely, obviously problematic predictions are eliminated and the existing exact analytic results are recovered.

Original languageAmerican English
Pages (from-to)1750-1755
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume392
Issue number8
DOIs
StatePublished - 15 Apr 2013
Externally publishedYes

Keywords

  • Kardar-Parisi-Zhang equation
  • Long-range interactions
  • Renormalization Group

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