Theory of hot-electron quantum diffusion in semiconductors☆

Kleinert, P.

doi:10.1016/j.physrep.2009.10.003

Cited by 12 publications

(8 citation statements)

References 131 publications

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“…The analysis of C L,T (q, ω) was performed according to the procedures described in Ref. [39][40][41][42] , enabling to obtain the excitation spectra of high-and low-frequency modes, as well as for longitudinal and transverse excitations separately, using analysis of the velocity current (8).…”

Section: Methodsmentioning

confidence: 99%

“…Knowledge of the mechanisms governing diffusion provides opportunities for prospective biotechnologies, chemical, and pharm-industries 3 . Diffusion has been studied in details in solid systems 4 , because of its practical importance in metallurgy for alloying [5][6][7] and operation of semiconductor electronics 8,9 . Diffusion processes in gases are also rather well understood.However, understanding the diffusion process in liquids remains rather limited and fragmented, although some progress has been achieved over the years [10][11][12][13][14][15] .…”

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confidence: 99%

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Diffusion mobility increases linearly on liquid binodals above triple point

Dmitryuk

Mistryukova

Kryuchkov

et al. 2023

Sci Rep

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Self-diffusion in fluids has been thoroughly studied numerically, but even for simple liquids just a few scaling relationships are known. Relations between diffusion, excitation spectra, and character of the interparticle interactions remain poorly understood. Here, we show that diffusion mobility of particles in simple fluids increases linearly on the liquid branch of the liquid–gas binodal, from the triple point almost up to the critical point. With molecular dynamics simulations, we considered bulk systems of particles interacting via a generalised Lennard–Jones potential, as well as ethane. Using a two-oscillator model for the analysis of excitations, we observed that the mobility (inverse diffusion) coefficient on the liquid–gas binodal increases linearly above the triple point until the dispersion of high-frequency spectra has a solid-like (oscillating) shape. In terms of a separate mode analysis (of longitudinal and transverse modes), this corresponds to crossed modes in the intermediate range of wavenumbers q, between the hydrodynamic regime (small q) and the regime of individual particle motion (large q). The results should be interesting for a broad community in physics and chemistry of fluids, since self-diffusion is among the most fundamental transport phenomena, important for prospective chemical technologies, micro-, nanofluidics, and biotechnologies.

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Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

Diffusion mobility increases linearly on liquid binodals above triple point

Dmitryuk

Mistryukova

Kryuchkov

et al. 2023

Sci Rep

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“…For quantum electrons, the analogue of the classical Einstein relation is more complicated, e.g. [82,83]. In the case of strong degeneracy, θ e 1, one can use D e (2/8)(E F µ e /|e|) [83].…”

Section: Appendix: Surface Potential Of a Dust Particle In A Quantum ...mentioning

confidence: 99%

A critique of "quantum dusty plasmas"

Moldabekov¹,

Bönitz²,

Ramazanov³

2019

Preprint

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During the recent decade a steadily increasing number of papers devoted to so-called "quantum dusty plasmas" (QDP) appeared. These systems are combining the properties of dusty (i.e. micrometer to nanometer-sized particles containing) plasmas with quantum effects appearing at high-density and/or low-temperature. Many exciting properties of QDP were predicted including nontrivial collective oscillations and linear and nonlinear waves. It was predicted that the results have relevance for dense astrophysical plasmas such as white dwarf stars, neutron stars, magnetars and laboratory plasmas in micro-and nano-devices. Here we present a careful examination of the plasma parameters for the expected applications and compare them to the conditions under which a dust particle can exist in a quantum plasma. The conclusion is that quantum dusty plasmas do not exist in reality.

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“…Nanoporous materials are widely used in many fields due to their attractive properties (i.e., high specific surface area, excellent adsorption capacity, and accelerated contact between the materials and their guest molecules). − Based on the IUPAC classification, nanoporous materials are divided into three categories: materials with pore sizes up to 2 nm are called microporous materials, mesoporous materials are with 2–50 nm pore sizes, and beyond that range are classified as macroporous materials . Mass transfer in the nanoporous materials is an important process in various areas such as energy storage, , membrane science, chromatography, , catalysis, , semiconductor, gas exploration, and environmental remediation . However, the low mass transfer properties of nanoporous materials limit their applicability in these fields .…”

Section: Introductionmentioning

confidence: 99%

Designing the Macroporous Structure of Three-Way Catalyst Particles: The Influence of Template Concentration on Framework Thickness and Mass Transfer

Cao

Kitamoto

et al. 2023

Langmuir

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Mass transfer is an essential process that can extend the performance and utilization of nanoporous materials in various applications. Therefore, improving mass transfer in nanoporous materials has always attracted much interest, and macroporous structures are currently being studied to enhance mass transfer performance. The introduction of macroporous structures into three-way catalysts (TWC), which are widely utilized to control the emission of polluted gases from vehicles, provides the potential to enhance their mass transfer property and catalytic performance. However, the formation mechanism of macroporous TWC particles has not yet been investigated. On the other hand, the influence of the framework thickness of the macroporous structure on the mass transfer enhancement is still unclear. Therefore, this report investigates the particle formation and framework thickness of the macroporous TWC particles synthesized using the template-assisted aerosol process. The formation of macroporous TWC particles was precisely controlled and investigated by altering the size and concentration of the template particles. The template concentration played a crucial role in maintaining the macroporous structure and controlling the framework thickness between the macropores. Based on these results, a theoretical calculation showing the influence of template concentration on the particle morphology and framework thickness was developed. The final results showed that increasing the template concentration can positively affect the nanoporous material’s framework thickness reduction and mass transfer coefficient improvement.

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Theory of hot-electron quantum diffusion in semiconductors☆

Cited by 12 publications

References 131 publications

Diffusion mobility increases linearly on liquid binodals above triple point

Diffusion mobility increases linearly on liquid binodals above triple point

A critique of "quantum dusty plasmas"

Designing the Macroporous Structure of Three-Way Catalyst Particles: The Influence of Template Concentration on Framework Thickness and Mass Transfer

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