Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time

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dc.creatorAlamoudi, Saeed M.
dc.creatorBoyanovsky, Daniel
dc.creatorWang, Shang-Yung
dc.date2002-04-11
dc.date2002-09-19
dc.date.accessioned2026-07-07T12:16:38Z
dc.date.available2026-07-07T12:16:38Z
dc.descriptionWe present a field-theoretical method to obtain consistently the equations of motion for small amplitude fluctuations of the order parameter directly in real time for a homogeneous, neutral BCS superconductor. This method allows to study the nonequilibrium relaxation of the order parameter as an initial value problem. We obtain the Ward identities and the effective actions for small phase the amplitude fluctuations to one-loop order. Focusing on the long-wavelength, low-frequency limit near the critical point, we obtain the time-dependent Ginzburg-Landau effective action to one-loop order, which is nonlocal as a consequence of Landau damping. The nonequilibrium relaxation of the phase and amplitude fluctuations is studied directly in real time. The long-wavelength phase fluctuation (Bogoliubov-Anderson-Goldstone mode) is overdamped by Landau damping and the relaxation time scale diverges at the critical point, revealing critical slowing down.
dc.description31 pages 14 figs, revised version, to appear in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0204239
dc.identifierhttp://arxiv.org/abs/cond-mat/0204239
dc.identifierPhys.Rev.B66:184502,2002
dc.identifierdoi:10.1103/PhysRevB.66.184502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211861
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleNonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time
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