Weak coupling limit of the Anisotropic KPZ equation

G Cannizzaro, D Erhard, F Toninelli - Duke Mathematical Journal, 2023 - projecteuclid.org
… an anisotropic version of the 2-dimensional KPZ equationequation as the isotropic KPZ
(IKPZ) equation. The work [9] shows, under a different regularization, that the weak coupling limit

Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation

T Kloss, L Canet, N Wschebor - Physical Review E, 2014 - APS
… agreement with TF we find that the isotropic KPZ equation may become unstable against
anisotropic perturbations in the weak-coupling regime. However, our results indicate that it is …

Anisotropic model of kinetic roughening: The strong-coupling regime

AK Chattopadhyay - Physical Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
coupling SC limit of the anisotropic Kardar-Parisi-Zhang KPZ … that in the SC limit, anisotropic
perturbations destroy all spatial … issues concerning the weak-coupling WC regime of the …

(2+ 1)-dimensional interface dynamics: mixing time, hydrodynamic limit and Anisotropic KPZ growth

F Toninelli - Proceedings of the International Congress of …, 2018 - World Scientific
… The values of ; ˇ for the isotropic KPZ equation cannot be guessed by perturbative
renormalization-group arguments and they are accessible only through numerical experiments (see …

Strong anisotropy in two-dimensional surfaces with generic scale invariance: Nonlinear effects

E Vivo, M Nicoli, R Cuerno - Physical Review E, 2014 - APS
… Rather, in spite of being nominally anisotropic, they lead to isotropic asymptotics (weak
that occurs in the nonconserved anisotropic KPZ equation when changing the relative signs of …

Conjectures about phase turbulence in the complex Ginzburg-Landau equation

G Grinstein, C Jayaprakash, R Pandit - Physica D: Nonlinear Phenomena, 1996 - Elsevier
… in 2d, should it transpire that the isotropic 2d CGLE does not. Since the KPZ equation with
this type of anisotropy in the nonlinear terms has a stable weak-coupling (A--0) fixed point in …

Growth of a driven interface in isotropic and anisotropic random media

K Park, HJ Kim, I Kim - Physical Review E, 2000 - APS
KPZ equation. In the two interfaces, apart from one growing in an isotropic medium and the
other growing in an anisotropic … belongs to the weak-coupling limit, the annealed EW univer…

Renormalization group analysis of the anisotropic Kardar-Parisi-Zhang equation with spatially correlated noise

H Jeong, B Kahng, D Kim - Physical Review E, 1995 - APS
… that the case of yW 1 belongs to the weakcoupling limit. … This conjecture is based on the
analogy to the isotropic case, … In summary, we have considered the anisotropic KPZ equation

Mesoscale mode coupling theory for the weakly asymmetric simple exclusion process

GM Schütz - International conference on Particle Systems and …, 2022 - Springer
… in experiments on anisotropic Heisenberg chains [52]. … a transition from KPZ to EW behaviour
at a critical scale of a weak bias [46… The SBE, related to the KPZ equation [54] for the height …

Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions

Q Mei, K Ji, M Wouters - Physical Review B, 2021 - APS
… For weak anisotropy, the OPO system falls into the KPZ universality class similar to the
incoherently pumped polaritons mentioned above, while for strong anisotropy, … KPZ equation [40]. …