Timedependent photon heat transport through a mesoscopic Josephson device
Abstract
The timeoscillating photon heat current through a dc voltage biased mesoscopic Josephson Junction (MJJ) has been investigated by employing the nonequilibrium Green’s function approach. The Landauerlike formula of photon heat current has been derived in both of the Fourier space and its timeoscillating versions, where Coulomb interaction, self inductance, and magnetic flux take effective roles. Nonlinear behaviors are exhibited in the photon heat current due to the quantum nature of MJJ and applied external dc voltage. The magnitude of heat current decreases with increasing the external bias voltage, and subtle oscillation structures appear as the superposition of different photon heat branches. The overall period of heat current with respect to time is not affected by Coulomb interaction, however, the magnitude and phase of it vary considerably by changing the Coulomb interaction.  Highlights: • The timeoscillating photon heat current through a mesoscopic Josephson Junction has been investigated. • The Landauerlike formula of photon heat current has been derived by the nonequilibrium Green’s function approach. • Nonlinear behaviors are exhibited in the photon heat current resulting from the self inductance and Coulomb interaction. • The oscillation structure of heat current is composed of the superposition of oscillations with different periods.
 Authors:
 Publication Date:
 OSTI Identifier:
 22617469
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 377; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HEAT TRANSFER; JOSEPHSON JUNCTIONS; MAGNETIC FLUX; NONLINEAR PROBLEMS; PHOTONS; TIME DEPENDENCE
Citation Formats
Lu, WenTing, and Zhao, HongKang, Email: zhaohonk@bit.edu.cn. Timedependent photon heat transport through a mesoscopic Josephson device. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2016.12.025.
Lu, WenTing, & Zhao, HongKang, Email: zhaohonk@bit.edu.cn. Timedependent photon heat transport through a mesoscopic Josephson device. United States. doi:10.1016/J.AOP.2016.12.025.
Lu, WenTing, and Zhao, HongKang, Email: zhaohonk@bit.edu.cn. Wed .
"Timedependent photon heat transport through a mesoscopic Josephson device". United States.
doi:10.1016/J.AOP.2016.12.025.
@article{osti_22617469,
title = {Timedependent photon heat transport through a mesoscopic Josephson device},
author = {Lu, WenTing and Zhao, HongKang, Email: zhaohonk@bit.edu.cn},
abstractNote = {The timeoscillating photon heat current through a dc voltage biased mesoscopic Josephson Junction (MJJ) has been investigated by employing the nonequilibrium Green’s function approach. The Landauerlike formula of photon heat current has been derived in both of the Fourier space and its timeoscillating versions, where Coulomb interaction, self inductance, and magnetic flux take effective roles. Nonlinear behaviors are exhibited in the photon heat current due to the quantum nature of MJJ and applied external dc voltage. The magnitude of heat current decreases with increasing the external bias voltage, and subtle oscillation structures appear as the superposition of different photon heat branches. The overall period of heat current with respect to time is not affected by Coulomb interaction, however, the magnitude and phase of it vary considerably by changing the Coulomb interaction.  Highlights: • The timeoscillating photon heat current through a mesoscopic Josephson Junction has been investigated. • The Landauerlike formula of photon heat current has been derived by the nonequilibrium Green’s function approach. • Nonlinear behaviors are exhibited in the photon heat current resulting from the self inductance and Coulomb interaction. • The oscillation structure of heat current is composed of the superposition of oscillations with different periods.},
doi = {10.1016/J.AOP.2016.12.025},
journal = {Annals of Physics},
number = ,
volume = 377,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2017},
month = {Wed Feb 15 00:00:00 EST 2017}
}

Transport and scattering phenomena in open quantumsystems with a continuous energy spectrum are conveniently solved using the timedependent Schroedinger equation. In the timedependent picture, the evolution of an initially localized wavepacket reveals the eigenstates and eigenvalues of the system under consideration. We discuss applications of the wavepacket method in atomic, molecular, and mesoscopic systems and point out specific advantages of the timedependent approach. In connection with the familiar initial value formulation of classical mechanics, an intuitive interpretation of transport emerges. For interacting manyparticle systems, we discuss the efficient calculation of the selfconsistent classical transport in the presence of a magneticmore »

Suppression of the Josephson current through a narrow, mesoscopic, semiconductor channel by a single impurity
We study the Josephson current through a ballistic, normal, onedimensional quantum channel in contact with two superconducting electrodes. A single point impurity having reflection coefficient {ital R} is placed in the normal conductor. The impurity couples the Andreev energy levels of forward and reverse moving electrons inside the junction, opening energy gaps in the quasiparticle level spectrum versus superconducting phase difference {phi}. These Andreev'' energy gaps suppress the Josephson current in much the same way as disorder suppresses the magnetic flux driven currents in a normal mesoscopic ring. Finitetemperature energy averages'' the contribution of Andreev levels above the Fermi energymore » 
Modeling bacterial detachment during transport through porous media as a residencetimedependent process
Bacterial transport through porous media was modeled using detachment functions that incorporate the dependence of detachment rate on bacterial residence time on the collector. Model parameters and the relative merit of alternative forms for the detachment function were evaluated on the basis of comparisons between model simulations and experimentally derived bacterial breakthrough and elution curves. Only detachment functions that provided an initial period in which bacteria were rapidly released, followed by slow bacterial detachment, were able to reproduce the elution portion of the breakthrough curves. In optimal simulations, 90% of the bacteria that were captured by the porous medium detachedmore » 
An asymptoticpreserving Lagrangian algorithm for the timedependent anisotropic heat transport equation
We propose a Lagrangian numerical algorithm for a timedependent, anisotropic temperature transport equation in magnetized plasmas in the large guide field regime. The approach is based on an analytical integral formal solution of the parallel (i.e., along the magnetic field) transport equation with sources, and it is able to accommodate both local and nonlocal parallel heat flux closures. The numerical implementation is based on an operatorsplit formulation, with two straightforward steps: a perpendicular transport step (including sources), and a Lagrangian (fieldline integral) parallel transport step. Algorithmically, the first step is amenable to the use of modern iterative methods, while themore »