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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1431
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dc.contributor.authorBanerjee, Subhashish-
dc.contributor.authorDhar, Abhishek-
dc.date.accessioned2006-07-12T09:17:58Z-
dc.date.available2006-07-12T09:17:58Z-
dc.date.issued2006-06-30-
dc.identifier.citationPhysical Review E, 2006, Vol.73, 067104en
dc.identifier.issn1539-3755-
dc.identifier.issn1550-2376 (online)-
dc.identifier.urihttp://hdl.handle.net/2289/1431-
dc.description.abstractThe Wigner transform of the master equation describing the reduced dynamics of the system, of a harmonic oscillator coupled to an oscillator bath, was obtained by Karrlein and Grabert [Phys. Rev. E 55, 153 (1997)]. It was shown that for some special correlated initial conditions the master equation reduces, in the classical limit, to the corresponding classical Fokker-Planck equation obtained by Adelman [J. Chem Phys. 64, 124 (1976)]. However, for separable initial conditions the Adelman equations were not recovered. We resolve this problem by showing that, for separable initial conditions, the classical Langevin equations are somewhat different from the one considered by Adelman. We obtain the corresponding Fokker-Planck equation and show that they exactly match the classical limit of the evolution of the Wigner function obtained from the master equation for separable initial conditions. We also discuss why thermal initial conditions correspond to Adelman's solution.en
dc.format.extent52319 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherThe American Physical Societyen
dc.relation.urihttp://link.aps.org/abstract/PRE/v73/e067104en
dc.rights(2006) by the American Physical Societyen
dc.titleClassical limit of master equation for a harmonic oscillator coupled to an oscillator bath with separable initial conditionsen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

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