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• W3208786670 endingPage "72" @default.
• W3208786670 startingPage "72" @default.
• W3208786670 abstract "We study the stochastic Kardar-Parisi-Zhang equation for kinetic roughening where the time-independent (columnar or spatially quenched) Gaussian random noise $f(t,{bf x})$ is specified by the pair correlation function $langle f(t,{bf x})f(t',{bf x'}) rangle propto delta^{(d)} ({bf x-x'})$, $d$ being the dimension of space. The field-theoretic renormalization group analysis shows that the effect of turbulent motion of the environment (modelled by the coupling with the velocity field described by the Kazantsev-Kraichnan statistical ensemble for an incompressible fluid) gives rise to a new nonlinear term, quadratic in the velocity field. It turns out that this induced nonlinearity strongly affects the scaling behaviour in several universality classes (types of long-time, large-scale asymptotic regimes) even when the turbulent advection appears irrelevant in itself. Practical calculation of the critical exponents (that determine the universality classes) is performed to the first order of the double expansion in $varepsilon=4-d$ and the velocity exponent $xi$ (one-loop approximation). As is the case with most descendants of the Kardar-Parisi-Zhang model, some relevant fixed points of the renormalization group equations lie in forbidden zones, i.e. in those corresponding to negative kinetic coefficients or complex couplings. This persistent phenomenon in stochastic non-equilibrium models requires careful and inventive physical interpretation." @default.
• W3208786670 created "2021-11-08" @default.
• W3208786670 creator A5000342321 @default.
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• W3208786670 date "2022-01-26" @default.
• W3208786670 modified "2023-10-10" @default.
• W3208786670 title "Stirred Kardar-Parisi-Zhang Equation with Quenched Random Noise: Emergence of Induced Nonlinearity" @default.
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• W3208786670 doi "https://doi.org/10.3390/universe8020072" @default.
• W3208786670 hasPublicationYear "2022" @default.
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