English

Dynamic universality class of Model C from the functional renormalization group

Statistical Mechanics 2013-11-05 v2 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

We establish new scaling properties for the universality class of Model C, which describes relaxational critical dynamics of a nonconserved order parameter coupled to a conserved scalar density. We find an anomalous diffusion phase, which satisfies weak dynamic scaling while the conserved density diffuses only asymptotically. The properties of the phase diagram for the dynamic critical behavior include a significantly extended weak scaling region, together with a strong and a decoupled scaling regime. These calculations are done directly in 2 < d < 4 space dimensions within the framework of the nonperturbative functional renormalization group. The scaling exponents characterizing the different phases are determined along with subleading indices featuring the stability properties.

Keywords

Cite

@article{arxiv.1307.1700,
  title  = {Dynamic universality class of Model C from the functional renormalization group},
  author = {David Mesterházy and Jan H. Stockemer and Leticia F. Palhares and Jürgen Berges},
  journal= {arXiv preprint arXiv:1307.1700},
  year   = {2013}
}

Comments

5 pages, 3 figures; PRB version, minor changes

R2 v1 2026-06-22T00:46:24.493Z