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- W2030123454 abstract "External ionizing particles may induce electron avalanches and bursts (sequences of avalanches) in a gas subjected to an electric field. The properties of these avalanches and bursts at a given pressure depend on the strength of the electric field, which in our case is considered to be homogeneous between two plane-parallel metal electrodes. With increasing voltage (V) applied to the electrodes the system may reach a state when the avalanches sustain themselves via ionization and secondary electron emission processes. We have found that this is a critical state that corresponds to a phase transition when the gas turns from an insulating state into a conducting state. Our computer simulations have shown that at the critical voltage (V=${mathit{V}}_{mathit{c}}$) the N(A) distribution of the number of electron avalanches forming a burst A and the N(B) distribution of the total number of electrons participating in a burst B obey power laws N(A)ensuremath{propto}${mathit{A}}^{mathrm{ensuremath{-}}mathrm{ensuremath{alpha}}}$ and N(B)ensuremath{propto}${mathit{B}}^{mathrm{ensuremath{-}}mathrm{ensuremath{beta}}}$. The average values of A and B as functions of the voltage V also exhibit a power law dependence 〈A〉ensuremath{propto}${mathrm{ensuremath{tau}}}^{mathrm{ensuremath{-}}mathrm{ensuremath{delta}}}$ and 〈B〉ensuremath{propto}${mathrm{ensuremath{tau}}}^{mathrm{ensuremath{-}}mathrm{ensuremath{mu}}}$, where ensuremath{tau}=(${mathit{V}}_{mathit{c}}$-V)/${mathit{V}}_{mathit{c}}$. The nontrivial critical exponents ensuremath{alpha}, ensuremath{beta}, ensuremath{delta}, and ensuremath{mu} were determined to an accuracy of a few percent." @default.
- W2030123454 created "2016-06-24" @default.
- W2030123454 creator A5030507867 @default.
- W2030123454 date "1995-05-01" @default.
- W2030123454 modified "2023-09-23" @default.
- W2030123454 title "Avalanches and bursts in low-pressure helium gas below the breakdown voltage" @default.
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- W2030123454 doi "https://doi.org/10.1103/physreve.51.3934" @default.
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