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Sketch of the coupled elastic membranes model of quantum wire.

Sketch of the coupled elastic membranes model of quantum wire.

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Presented here is a nanowire model, consisting of coupled elastic membranes with the purpose of investigating thermal transport in quasi-one-dimensional quantum systems. The vibrations of each elastic membrane are quantized and the flow of the vibrational energy between adjacent membranes is allowed. The ends of the nanowire are attached to thermal...

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Context 1
... semi-ballistic phonon transport was confirmed experimentally for silicon nanowires at temperatures around 4K [25]. Figure 1 illustrates the model developed here which constructs a nanowire analogue out of a series of coupled elastic membranes which each have their own (local) vibrational spectrum which depends on the membrane radius. By choosing the size of each individual membrane the surface roughness directly influences the local vibrational spectra of the nanowire. ...
Context 2
... discrepancy is apparent when comparing to the original experiment by Li et al. [10] and less so when compared to the VLS grown nanowires in [23] which is more subtle in the as grown nanowires. Figure 10 shows the fitted curves outlined in Section 3.1 on model parameters and compares them to the experimental data from Li et al. [10] which they were fitted to. It also illustrates the discrepancy between the model and experiment at high temperatures. ...
Context 3
... temperature fit when developing the model parameters in Section 3.1. Table 5 presents a summary of the key parameters of the model which provides the fit to the experimental data and used to generate the model curves in Figure 10. The table also illustrates that the reservoir couplings are proportional to the cross sectional areas of the nanowires. ...

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