Abstract
A general equation for electron motion in a plasma is developed which includes a term arising from electron gas pressure. The resulting expression is $\frac{{\ensuremath{\partial}}^{2}\ensuremath{\xi}}{\ensuremath{\partial}{t}^{2}}+(\frac{4\ensuremath{\pi}n{e}^{2}}{m})\ensuremath{\xi}=(\frac{\mathrm{kT}}{m}){\ensuremath{\nabla}}^{2}\ensuremath{\xi},$ where $\ensuremath{\xi}$ is electron displacement, $n$ electron density, and $T$ electron gas temperature. From this it is found that the possible frequencies of free vibration form a series given by ${f}_{i}={(\frac{\mathrm{kT}}{\ensuremath{\lambda}_{i}^{2}m}+\frac{n{e}^{2}}{\ensuremath{\pi}m})}^{\frac{1}{2}}$. The lower limit corresponds to the Tonks-Langmuir value ${(\frac{n{e}^{2}}{\ensuremath{\pi}m})}^{\frac{1}{2}}$, while the other frequencies depend upon the possible standing waves which may exist. The theory explains the observed variation of frequency with electron gas temperature.
Keywords
PhysicsElectronNabla symbolFermi gasAtomic physicsPlasma oscillationPlasmaCondensed matter physicsQuantum mechanics
Affiliated Institutions
Related Publications
The Variation with Frequency of the Power Loss in Dielectrics
Variation of the power loss in dielectrics with frequency, 500 to 1,000,000 cycles.---(1) A new bridge method of measurement is described. This bridge has two resistance ratio a...
Continuous-time random-walk model of electron transport in nanocrystalline<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">TiO</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>electrodes
Electronic junctions made from porous, nanocrystalline ${\mathrm{TiO}}_{2}$ films in contact with an electrolyte are important for applications such as dye-sensitized solar cell...
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
Arguments are presented that the $T=0$ conductance $G$ of a disordered electronic system depends on its length scale $L$ in a universal manner. Asymptotic forms are obtained for...
Wave propagation and localization in a long-range correlated random potential
We examine the effect of long-range spatially correlated disorder on the Anderson localization transition in $d=2+\ensuremath{\epsilon}$ dimensions. This is described as a phase...
Empirical graph Laplacian approximation of Laplace–Beltrami operators: Large sample results
Let ${M}$ be a compact Riemannian submanifold of ${{\\bf R}^m}$ of dimension\n$\\scriptstyle{d}$ and let ${X_1,...,X_n}$ be a sample of i.i.d. points in ${M}$\nwith uniform dist...
Publication Info
- Year
- 1936
- Type
- article
- Volume
- 49
- Issue
- 10
- Pages
- 753-754
- Citations
- 17
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
17
OpenAlex
Cite This
Ernest G. Linder
(1936).
Effect of Electron Pressure on Plasma Electron Oscillations.
Physical Review
, 49
(10)
, 753-754.
https://doi.org/10.1103/physrev.49.753
Identifiers
- DOI
- 10.1103/physrev.49.753