The system described by the Kuramoto-Sivashinsky equation (SKSE) is shown to have a short- and a long-time regimes. The probability distribution function (PDF) for the absolute value of the solution is subjected to di...
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The system described by the Kuramoto-Sivashinsky equation (SKSE) is shown to have a short- and a long-time regimes. The probability distribution function (PDF) for the absolute value of the solution is subjected to different scaling laws in the twotime regimes. The local expansion rate (LER) and its two-time correlation function are calculated. The time regime where the correlation for the LER remains is shorter than the one for the absolute value of the solution for the SKSE. The fluctuation in the LER becomes small as the damping constant is increased. The PDF for the LER is also given in this paper. (C) 2003 Elsevier Science B.V. All rights reserved.
Atomic emission and cavity field spectra of the Jaynes-Cummings model are analytically compared. We show that the two spectra are in general different, except for the special case where the interaction is resonant, th...
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Atomic emission and cavity field spectra of the Jaynes-Cummings model are analytically compared. We show that the two spectra are in general different, except for the special case where the interaction is resonant, the cavity is initially empty and the retarded time of one-photon emission is considered in calculations of the spectra. In this case, the two spectra are the same. We also show that this result comes from the fact that the two-time autocorrelationfunction of the cavity field is not directly proportional to that of the atom.
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