Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: Scaling functions and amplitude ratios in 1+1, 2+1, and 3+1 dimensions
نویسندگان
چکیده
منابع مشابه
On the Renormalization of the Kardar-parisi-zhang Equation
The Kardar-Parisi-Zhang (KPZ) equation of nonlinear stochastic growth in d dimensions is studied using the mapping onto a system of directed polymers in a quenched random medium. The polymer problem is renormalized exactly in a minimally subtracted perturbation expansion about d = 2. For the KPZ roughening transition in dimensions d > 2, this renormalization group yields the dynamic exponent z⋆...
متن کاملSlow crossover to Kardar-Parisi-Zhang scaling.
The Kardar-Parisi-Zhang (KPZ) equation is accepted as a generic description of interfacial growth. In several recent studies, however, values of the roughness exponent alpha have been reported that are significantly less than that associated with the KPZ equation. A feature common to these studies is the presence of holes (bubbles and overhangs) in the bulk and an interface that is smeared out....
متن کاملTwo-loop renormalization-group analysis of the Burgers-Kardar-Parisi-Zhang equation.
A systematic analysis of the Burgers-Kardar-Parisi-Zhang equation in d + 1 dimensions by dynamic renormalization-group theory is described. The fixed points and exponents are calculated to two-Ioop order. We use the dimensional regularization scheme, carefully keeping the fuH d dependence originating from the angular parts of the loop integrals. For dimensions less than dc = 2 we find a strong-...
متن کاملRenormalization group analysis of the anisotropic Kardar-Parisi-Zhang equation with spatially correlated noise.
We analyze the anisotropic Kardar-Parisi-Zhang equation in general substrate dimensions d′ with spatially correlated noise, 〈η̃(k, ω)〉 = 0 and 〈η̃(k, ω)η̃(k′, ω′)〉 = 2D(k)δd′ (k+k′)δ(ω+ω′) where D(k) = D0+Dρk, using the dynamic renormalization group (RG) method. When the signs of the nonlinear terms in parallel and perpendicular directions are opposite, a novel finite stable fixed point is found f...
متن کاملImproved perturbation theory for the Kardar-Parisi-Zhang equation.
We apply a number of schemes which variationally improve perturbation theory for the Kardar-Parisi-Zhang equation in order to extract estimates for the dynamic exponent z. The results for the various schemes show the same broad features, giving closer agreement with numerical simulations in low dimensions than self-consistent methods. They do, however, continue to predict that z = 2 in some cri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2012
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.86.051124