Effects of mixing and stirring on the critical behavior

Details Effects of mixing and stirring on the critical behavior Effects of mixing and stirring on the critical behavior

2006-04-19

arxiv.org/abs/cond-mat/0604434v1

J. Phys. A: Math. Gen. 39 (2006) 7867-7887

Physics

Condensed Matter

Statistical Mechanics

25 pages, 2 figures

Scientific paper

10.1088/0305-4470/39/25/S05

Stochastic dynamics of a nonconserved scalar order parameter near its critical point, subject to random stirring and mixing, is studied using the field theoretic renormalization group. The stirring and mixing are modelled by a random external Gaussian noise with the correlation function $\propto\delta(t-t') k^{4-d-y}$ and the divergence-free (due to incompressibility) velocity field, governed by the stochastic Navier--Stokes equation with a random Gaussian force with the correlation function $\propto\delta(t-t') k^{4-d-y'}$. Depending on the relations between the exponents $y$ and $y'$ and the space dimensionality $d$, the model reveals several types of scaling regimes. Some of them are well known (model A of equilibrium critical dynamics and linear passive scalar field advected by a random turbulent flow), but there are three new nonequilibrium regimes (universality classes) associated with new nontrivial fixed points of the renormalization group equations. The corresponding critical dimensions are calculated in the two-loop approximation (second order of the triple expansion in $y$, $y'$ and $\epsilon=4-d$).

Affiliated with

Also associated with

No associations

Rating

Effects of mixing and stirring on the critical behavior does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Effects of mixing and stirring on the critical behavior, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effects of mixing and stirring on the critical behavior will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-237596