Electromagnetic Fluctuations in Plasma

Sitenko, A. G.; Hirshfield, J. L.

doi:10.1119/1.1975065

Cited by 40 publications

(54 citation statements)

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“…Making use of (30) and (31), we obtain from (34) or (35) the fluctuation-dissipation relation for the symmetrized correlation function for the case of equilibrium system [6]. For classical systems (in the limiting caseh → 0), the relation of fluctuation irreversibility (34) reduces to the form…”

Section: Electromagnetic Fluctuationsmentioning

confidence: 99%

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On the Irreversibility of Fluctuations

Sitenko¹

2000

Condens. Matter Phys.

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Section: Electromagnetic Fluctuationsmentioning

confidence: 99%

“…Relations (23) and (24) can be treated as an inversion of the fluctuation-dissipation relation [5,6].…”

Section: Inversion Of the Fluctuation-dissipation Relationmentioning

confidence: 99%

On the Irreversibility of Fluctuations

Sitenko¹

2000

Condens. Matter Phys.

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“…In this light, we point out that we followed the Fourier analysis convention where the normalization factor (2π) −4 appears in the direct transform. However, in some textbooks (Sitenko 1967;Aleksandrov et al 1984) the normalization factor (2π) −4 appears in the inverse transform, which leads to a numeric constant 2π. We also note that we use the standard normalization…”

Section: The Natural Correlator In Un-magnetized and Magnetized Plasmasmentioning

confidence: 99%

Natural fluctuations in un-magnetized and magnetized plasmas

et al. 2015

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There are still open issues within the fluctuation theory of plasmas, in view of the difficulty of formulating adequate theoretical approaches and solving the related equations in particular regimes. A promising alternative approach is direct microphysical modeling based on first principles, as successfully applied to neutral rarefied fluids. Within this approach, the equations of motion of a large ensemble of charged particles are solved numerically while correlations are obtained from statistical analysis of the ensemble at different times. As a first step, in this work we validate the data analysis technique adopted in this numerical scheme for the case of an electron ensemble neglecting Coulomb interactions. The simulation results are compared with the analytical theory of 'natural' fluctuations for both unmagnetized and magnetized plasmas. For the latter, the derivations for arbitrary average distribution functions are presented.

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“…Their frequency w for classical (n ~ ii) and completely degenerate (n ~ ii) electrons is given by (Sitenko 1967) …”

Section: Electron Oscillationsmentioning

confidence: 99%

“…Since the ions are presumed to be nondegenerate, the frequency of the ion oscillations is given by (Sitenko 1967) (10)…”

Section: Ion Oscillationsmentioning

confidence: 99%

Statistical Thermodynamics of Nonideal Plasma

Wilhelm¹,

Khalfaoui²

1982

Aust. J. Phys.

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Based on the Debye model, the free energy of a nonideal electron-ion plasma is calculated for interaction parameters 0 < Y < Ye below the critical solid state value Ye (y = Ze 2 n 1 / 3 /KTis the ratio of mean Coulomb interaction energy to thermal energy), which takes into account the energy eigenvalues of (i) the thermal translational particle motions, (ii) the random collective electron and ion motions, and (iii) the static Coulomb interaction energy of the electrons and ions in their oscillatory equilibrium positions. From this physical model, the interaction part of the free energy is derived, which consists of a quasi-lattice energy, depending on the interaction parameter Y, and the free energies of the quantized electron and ion oscillations (long-range interactions). Depending on the degree of ordering, the Madelung 'constant' of the plasma is oc(y) = ii. for Y ~ 1, oc(y) :::; ii. for Y > 1 and oc(y) oc yl12 for y <{ 1, where ii. ~ 1 is a constant. The free energy of the high frequency plasmons (electron oscillations) is shown to be very small for y > 1, whereas the free energy of the low frequency plasmons (ion oscillations) is shown to be significant for y > 1, i.e. for proper nonideal conditions. From the general formula for the free interaction energy !!F of the plasma for

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Electromagnetic Fluctuations in Plasma

Cited by 40 publications

References 0 publications

On the Irreversibility of Fluctuations

On the Irreversibility of Fluctuations

Natural fluctuations in un-magnetized and magnetized plasmas

Statistical Thermodynamics of Nonideal Plasma

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