1976
DOI: 10.1103/physrevlett.36.867
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Long-Time Tails and the Large-Eddy Behavior of a Randomly Stirred Fluid

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Cited by 174 publications
(176 citation statements)
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“…A model with this term only has been analyzed earlier in Ref. [10]. In the theory of turbulence D 20 = 0 should be considered the "real value" of this parameter, since only the first term in Eq.…”
Section: Construction Of the (ε ∆) Expansion In The Two-charge Mmentioning
confidence: 99%
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“…A model with this term only has been analyzed earlier in Ref. [10]. In the theory of turbulence D 20 = 0 should be considered the "real value" of this parameter, since only the first term in Eq.…”
Section: Construction Of the (ε ∆) Expansion In The Two-charge Mmentioning
confidence: 99%
“…Then d = 2 + 2∆ = 2 − 2ε and energy injection (3) becomes local: d f ∼ p 4−d−2ε = p 2 (such a model was considered in Ref. [10]). In this case the multiplicative renormalization (27) conforms to the requirement of local counterterms and the corresponding constants Z do not contain any dependence on log s in accordance with the general theory.…”
Section: Renormalization Of the Model In A Fixed Space Dimension mentioning
confidence: 99%
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“…This analysis provided a heuristic picture of the damped transient pattern formation. As a continuation of previous work on the continuum limit of a spin representation of a solid-on-solid model for a growing interface [4], we applied in paper II [5] the Martin-Siggia-Rose formalism [6] in its path integral formulation [7,8,9] to the noisy Burgers equation [10,11] and discussed in the weak noise limit the growth morphology and scaling properties in terms of nonlinear soliton excitations with superimposed linear diffusive modes. In paper III [12] we pursued a canonical phase space approach based on the weak noise saddle point approximation to the Martin-Siggia-Rose functional or, alternatively, the Freidlin-Wentzel symplectic approach to the Fokker-Planck equation [13,14].…”
Section: Introductionmentioning
confidence: 99%
“…This equation has the form (Forster et al (1976), Forster et al (1977)) ∂u ∂t = ν∇ 2 u + λu∇u + ∇η ,…”
Section: Introductionmentioning
confidence: 99%