Plasma oscillations and nonextensive statistics

The propagation of arbitrary amplitude electron-acoustic solitons and double layers is investigated in a plasma containing cold positive ions, cool adiabatic and hot isothermal electrons, with the retention of full inertial effects for all species. For analytical tractability, the resulting Sagdeev pseudopotential is expressed in terms of the hot electron density, rather than the electrostatic potential. The existence domains for Mach numbers and hot electron densities clearly show that both rarefactive and compressive solitons can exist. Soliton limitations come from the cool electron sonic point, followed by the hot electron sonic point, until a range of rarefactive double layers occurs. Increasing the relative cool electron density further yields a switch to compressive double layers, which ends when the model assumptions break down. These qualitative results are but little influenced by variations in compositional parameters. A comparison with a Boltzmann distribution for the hot electrons shows that only the cool electron sonic point limit remains, giving higher maximum Mach numbers but similar densities, and a restricted range in relative hot electron density before the model assumptions are exceeded. The Boltzmann distribution can reproduce neither the double layer solutions nor the switch in rarefactive/compressive character or negative/positive polarity. V C 2015 AIP Publishing LLC. [http://dx

show abstract

“…The change from u to n also has repercussions on the term in du=dx ¼ ðdn=dxÞðdu=dnÞ in (10). Collecting all this together yields…”

Section: Model Equationsmentioning

confidence: 99%

Effects of hot electron inertia on electron-acoustic solitons and double layers

Verheest

Hellberg

2015

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…The paper authored by J. A. S. Lima et al [8], has a considerable hold over the field of plasma physics, have studied the dispersion relation of Langmuir wave based on q-distribution, the results show that nonextensive formalism presents a good fit to the experimental data, while the standard Maxwellian distribution only provides a crude description. However, the results obtained in this paper are problematic.…”

Section: Introductionmentioning

confidence: 99%

Comment on “Plasma oscillations and nonextensive statistics”

Chen

2012

Phys. Rev. E

View full text Add to dashboard Cite

The paper, authored by J. A. S. Lima et al, was published in Phys. Rev. E in 2000 has discussed the dispersion relation and Landau damping of Langmuir wave in the context of the nonextensive statistics proposed by Tsallis. It has been cited by many authors because the dispersion relation in Tsallis formalism present a good fit to the experimental data when q < 1, while the classical result based on Maxwellian distribution only provides a crude description. However, the results obtained in this paper are problematic. In this comments on the paper we shall derive the correct analytic formulas both for the dispersion relation and Landau damping in Tsallis formalism. We hope that this comments will be useful in providing the correct results.PACS numbers: 52.35. Fp, 05.90.+m

show abstract

“…Recently, nonextensive thermo-statitstics has attracted significent interests and has obtained wide applications to so many interesting fields, such as astrophysics [2, 1 3], real gases [4], plasma [5], nuclear reactions [6] and so on. Especially, one has been studying the problems whether the thermodynamic potentials and their thermodynamic relations in nonextensive thermodynamics are the same as those in the classical thermodynamics [7,8].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic potentials and thermodynamic relations in nonextensive thermodynamics

Guo

2011

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

The generalized Gibbs free energy and enthalpy is derived in the framework of nonextensive thermodynamics by using the so-called physical temperature and the physical pressure. Some thermodynamical relations are studied by considering the difference between the physical temperature and the inverse of Lagrange multiplier.The thermodynamical relation between the heat capacities at a constant volume and at a constant pressure is obtained using the generalized thermodynamical potential, which is found to be different from the traditional one in Gibbs thermodynamics. But, the expressions for the heat capacities using the generalized thermodynamical potentials are unchanged. 05.90.+m

show abstract

Plasma oscillations and nonextensive statistics

Cited by 408 publications

References 16 publications

Effects of hot electron inertia on electron-acoustic solitons and double layers

Effects of hot electron inertia on electron-acoustic solitons and double layers

Comment on “Plasma oscillations and nonextensive statistics”

Thermodynamic potentials and thermodynamic relations in nonextensive thermodynamics

Contact Info

Product

Resources

About