Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.86.031132
Title: Role of the on-site pinning potential in establishing quasi-steady-state conditions of heat transport in finite quantum systems
Authors: Cuansing, E.C. 
Li, H.
Wang, J.-S. 
Issue Date: 24-Sep-2012
Source: Cuansing, E.C., Li, H., Wang, J.-S. (2012-09-24). Role of the on-site pinning potential in establishing quasi-steady-state conditions of heat transport in finite quantum systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 86 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.86.031132
Abstract: We study the transport of energy in a finite linear harmonic chain by solving the Heisenberg equation of motion, as well as by using nonequilibrium Green's functions to verify our results. The initial state of the system consists of two separate and finite linear chains that are in their respective equilibriums at different temperatures. The chains are then abruptly attached to form a composite chain. The time evolution of the current from just after switch-on to the transient regime and then to later times is determined numerically. We expect the current to approach a steady-state value at later times. Surprisingly, this is possible only if a nonzero quadratic on-site pinning potential is applied to each particle in the chain. If there is no on-site potential a recurrent phenomenon appears when the time scale is longer than the traveling time of sound to make a round trip from the midpoint to a chain edge and then back. Analytic expressions for the transient and steady-state currents are derived to further elucidate the role of the on-site potential. © 2012 American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/51030
ISSN: 15393755
DOI: 10.1103/PhysRevE.86.031132
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