REVIEW 5 cited by
Dynamic universality class of Model C from the functional renormalization group
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original 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.
Forward citations
Cited by 5 Pith papers
-
Tricritical dynamics in $\mathrm{^3He}$-$\mathrm{^4He}$ mixtures and QCD
Near tricritical points with an extra conserved energy-like density, order parameter and conserved O(N) charges exhibit strong scaling z=3/2, while the energy-like density is subdiffusive with z=3.
-
Critical dynamics of a scalar field near four spatial dimensions
The exactly dissipationless critical dynamics of a scalar field is an invariant but unstable surface of the RG flow, and any small friction drives it to Model A, with new two-loop dynamic exponents.
-
Solving Functional Renormalization Group Equations with Neural Networks
A neural network that learns fRG flows from the equation residual, with a large-N analytic baseline, matches finite-difference and discontinuous-Galerkin solvers for O(N) models.
-
Critical fluid dynamics in two and three dimensions
Direct numerical simulations of stochastic model H give a dynamic critical exponent z ≈ 3 in 3D and z ≈ 2 in 2D, with a crossover from mean-field z = 4 controlled by the renormalized shear viscosity.
-
Critical scaling for spectral functions
A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.
Discussion (0). Continue with ORCID to comment.