Burgers Turbulence and Interface Growth III. Similarity Functional Solution of Hopf Equation. the Case of Random Gaussian Forcing
| dc.creator | Esipov, Sergei E. | |
| dc.date | 1994-09-06 | |
| dc.date.accessioned | 2026-07-07T03:07:25Z | |
| dc.date.available | 2026-07-07T03:07:25Z | |
| dc.description | 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. | |
| dc.description | 33 pages, 2 by 2 figures are available upon request, PHYZZX Tex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9409023 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9409023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27167 | |
| dc.subject | Condensed Matter | |
| dc.title | Burgers Turbulence and Interface Growth III. Similarity Functional Solution of Hopf Equation. the Case of Random Gaussian Forcing | |
| dc.type | text |