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- W1505953018 abstract "For the problem of Burgers turbulence with random gaussian forcing a similarity functional solution of Hopf equation is presented and compared with scaling arguments and replica Bethe-anzatz treatments. The corresponding field theory is almost non-anomalous. In one dimension the local fluctuations develop self-similar time-dependent behavior, while relative fluctuations within the correlation length form a steady-state with gaussian distribution. This is the precise meaning of the so-called fluctuation-dissipation theorem. The one-dimensional properties are also studied numerically. It is shown that the fluctuation-dissipation theorem is invalid above one dimension and higher-order cumulants are non-zero. In two dimensions the cumulants exhibit logarithmic spatial dependence which is close to but different from that in the Edwards-Wilkinson case. No other similarity functional solution is found which may indicate that the ``strong-coupling'' results are not described by Burgers equation with gaussian noise." @default.
- W1505953018 created "2016-06-24" @default.
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- W1505953018 date "1994-09-06" @default.
- W1505953018 modified "2023-09-27" @default.
- W1505953018 title "Burgers Turbulence and Interface Growth III. Similarity Functional Solution of Hopf Equation. the Case of Random Gaussian Forcing" @default.
- W1505953018 hasPublicationYear "1994" @default.
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