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Mean free path
About: Mean free path is a research topic. Over the lifetime, 4412 publications have been published within this topic receiving 114418 citations.
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TL;DR: In this article, a method of treating transport of injected minority carriers is developed applicable to cases in which the physical dimension and the mean free path for capture may be less than the mean-free path for scattering.
Abstract: A method of treating transport of injected minority carriers is developed applicable to cases in which the physical dimension and the mean free path for capture may be less than the mean free path for scattering. The basic differential equations of scattering and capture are those of the conservation of flux method of McKelvey, Longini, and Brody, and the results agree with theirs, the new feature being a demonstration that the basic equations are equivalent to a continuity equation of the conventional form but with a diffusion constant reduced by including the effect of capture in shortening the mean free path. This method of treatment reduces the problems to a familiar form when suitable boundary conditions are introduced. The basic differential equations of scattering and capture are shown to correspond to certain simplifying and restricting assumptions about the carrier velocity distributions. The treatment is extended from the case of one dimension with zero electric field to three dimensions with electric fields.
78 citations
TL;DR: In this article, the sign reversal of the directed flow parameter in the central rapidity region in Au+Au collisions at s =200 A ǫGeV is studied within the Ultra-relativistic Quantum Molecular Dynamics Model.
78 citations
TL;DR: In this article, the size evolution of the localized surface plasmon resonances (LSPR) width induced by quantum confinement in silver nanoparticles isolated in vacuum or embedded in transparent matrixes is investigated.
Abstract: A key parameter for optimizing nanosized optical devices involving small metal particles is the spectral width of their localized surface plasmon resonances (LSPR), which is intrinsically limited by the confinement-induced broadening (quantum finite size effects). I have investigated the size evolution of the LSPR width induced by quantum confinement in silver nanoparticles isolated in vacuum or embedded in transparent matrixes. Calculations have been performed within the time-dependent local density approximation in an extended size range, up to 40000 conduction electrons (diameter D ≈ 11 nm). The slope characterizing the 1/D linear evolution predicted by the simple classical “limited mean free path” model is found to depend noticeably on the surrounding matrix. The confinement-induced damping of the collective LSPR excitation is shown to be intimately related to the departure of the electron-background interaction from a pure harmonic law. In jellium-type models the damping is governed by the electronic...
78 citations
TL;DR: In this article, a semi-analytical series expansion method was proposed to solve the transient, frequency-dependent Boltzmann transport equation for thin films with thicknesses comparable to phonon mean free paths.
Abstract: Cross-plane heat transport in thin films with thicknesses comparable to the phonon mean free paths is of both fundamental and practical interest for applications such as light-emitting diodes and quantum well lasers However, physical insight is difficult to obtain for the cross-plane geometry due to the challenge of solving the Boltzmann equation in a finite domain Here, we present a semi-analytical series expansion method to solve the transient, frequency-dependent Boltzmann transport equation that is valid from the diffusive to ballistic transport regimes and rigorously includes the frequency-dependence of phonon properties Further, our method is more than three orders of magnitude faster than prior numerical methods and provides a simple analytical expression for the thermal conductivity as a function of film thickness Our result enables a straightforward physical understanding of cross-plane heat conduction in thin films
78 citations
TL;DR: In this paper, a compact mobility model for semiconducting single-wall carbon nanotubes, with only two adjustable parameters, the elastic and inelastic collision mean free paths at 300 K, is presented.
Abstract: We present new data and a compact mobility model for semiconducting single-wall carbon nanotubes, with only two adjustable parameters, the elastic and inelastic collision mean free paths at 300 K. The mobility increases with diameter, decreases with temperature, and has a more complex dependence on charge density. The model and data suggest that the room temperature mobility does not exceed 10 000 cm2/Vmiddots at high carrier density (n > 0.5 nm-1) for typical single-wall nanotube diameters, due to the strong scattering effect of the second subband.
78 citations