KS equation displays intrinsic intermediate z=1 scaling regime between KPZ z=3/2 and small-scale non-universal behavior, from viscosity sign change, evidenced by FRG and DNS.
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Symmetry and conservation laws alone yield nonlinear fluctuating hydrodynamics equations whose sound and heat modes both flow to a KPZ fixed point with dynamical exponent 3/2, confirmed by simulations matching the Prahofer-Spohn function.
Direct numerical simulations confirm that the Lutsko-Dufty theory for nonequilibrium long-range correlations holds quantitatively across viscous to shear-dominated regimes, and the one-loop Forster-Nelson-Stephen renormalization group prediction for anomalous transport remains accurate even in the強く
citing papers explorer
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Inviscid scaling in the Kuramoto-Sivashinsky equation from functional renormalization group and direct numerical simulations
KS equation displays intrinsic intermediate z=1 scaling regime between KPZ z=3/2 and small-scale non-universal behavior, from viscosity sign change, evidenced by FRG and DNS.
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Symmetry-based nonlinear fluctuating hydrodynamics in one dimension
Symmetry and conservation laws alone yield nonlinear fluctuating hydrodynamics equations whose sound and heat modes both flow to a KPZ fixed point with dynamical exponent 3/2, confirmed by simulations matching the Prahofer-Spohn function.
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Quantitative analysis of fluctuating hydrodynamics in uniform shear flow
Direct numerical simulations confirm that the Lutsko-Dufty theory for nonequilibrium long-range correlations holds quantitatively across viscous to shear-dominated regimes, and the one-loop Forster-Nelson-Stephen renormalization group prediction for anomalous transport remains accurate even in the強く