Nonlinear ion acoustic waves in a relativistic degenerate plasma with Landau diamagnetism and electron trapping

Iqbal, M. J.; Shah, H. A.; Masood, W.; Цинцадзе, Н. Л.

doi:10.1140/epjd/e2018-90309-2

Cited by 13 publications

(3 citation statements)

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“…Haas (2016) presented a detailed theoretical description of the model equations suitable for an ultrarelativistic degenerate plasma by comparing the expressions for the dispersion relation of ion acoustic waves using both fluid and kinetic approaches. In the prolific plasma literature, various authors have analyzed the ion acoustic waves in dense astrophysical plasmas while taking into account the relativistic and degenerate character of the electrons (Eliasson & Shukla 2012;Masud & Mamun 2013;Haas 2016;Rahman et al 2017;Iqbal et al 2018;Sharma 2018). Haas & Eliasson (2015) presented a study of a two-stream instability mode in a magnetized plasma while considering a quantum hydrodynamic model.…”

Section: Introductionmentioning

confidence: 99%

Neutrino-driven Instability of Ion Acoustic Waves in an Ultrarelativistic Degenerate Plasma

Ghai

Saini

Eliasson

2019

ApJ

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The coupling between ion acoustic waves (IAWs) and a neutrino beam undergoing flavor oscillations in a dense, relativistically degenerate plasma is analyzed. The neutrino-driven streaming instability of the IAWs is investigated with relevance to plasma conditions at the last stage of stellar evolution in a massive supernova progenitor. The influence of neutrino beam parameters such as the energy of the incident neutrino beam and eigenfrequency of the neutrino flavor oscillations on the instability growth rate is obtained numerically. It is observed that the neutrino flavor oscillations significantly affect the neutrino-driven instability of the IAWs. Our results also indicate that the time period for the onset of the streaming neutrino-driven instability is shorter than the typical time period of a core-collapse supernova explosion. The findings of this investigation may shed new light on the understanding of the underlying physical mechanism responsible for the core-collapse supernova. Unified Astronomy Thesaurus concepts: Supernova neutrinos (1666); Neutrino oscillations (1104); Core-collapse supernovae (304); Degenerate matter (367); Relativistic fluid dynamics (1389); Plasma physics (2089)

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Section: Introductionmentioning

confidence: 99%

Neutrino-driven Instability of Ion Acoustic Waves in an Ultrarelativistic Degenerate Plasma

Ghai

Saini

Eliasson

2019

ApJ

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“…Equation (35) is in KdVB form which describes the ion acoustic shock with degeneracy effects in relativistic strongly coupled plasma. The quantum parameter modifies the dispersion coefficient (F D ) which affects both amplitude as well as width of shock wave.…”

Section: Formulation Of Nonlinear Equationmentioning

confidence: 99%

“…It reveals that plasma consists of strongly coupled ions and relativistic degenerate electrons in the region of white dwarfs [33]. The dense degenerate astrophysical plasma for example white dwarf plasma matter has attracted many researchers due to its significance in displaying nonlinear ion acoustic waves (IAWs) with weakly coupled and (or) strongly coupled ions [8,22,[34][35][36]. In this direction, Shukla et al [37] have presented the study of propagation of IAWs in relativistic dense plasma incorporating strongly coupled ions and degenerate electrons in the region of dense astrophysical objects especially in white dwarf.…”

Section: Introductionmentioning

confidence: 99%

Ion acoustic solitary and shock waves in strongly coupled degenerate plasma with relativistic effects

Patidar¹,

Sharma²

2020

Phys. Scr.

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The ion acoustic solitary and shock waves are studied in strongly coupled nonrelativistic and relativistic plasma. The wave profile has been discussed for the kinetic and hydrodynamic regimes. The ions are considered to be strongly coupled, and electrons as degenerated and relativistic to deal with nonlinear waves using continuity and Poisson’s equations together with generalized hydrodynamical (GH) and quantum hydrodynamical (QH) models. The reductive perturbation method is used to formulate Korteweg–de Vries (KdV) and Korteweg–de Vries Burgers (KdVB) equations in both nondegenerate and degenerated cases. The effects of relativistic, degeneracy parameter and longitudinal viscosity coefficient on the profile of nonlinear waves are discussed. The amplitude and width of a shock in both nonrelativistic and ultrarelativistic cases increase with an increase in the viscosity coefficient, while with an increase in the electron diffraction parameter, the amplitude and width of the shock wave increase, and for a solitary wave decreases in both the nonrelativistic and ultra-relativistic cases. It is also shown that solitary ion acoustic wave propagates with more energy in nonrelativistic plasma than ultrarelativistic. The results of the work will be useful, for example, for astrophysics to understand the process of wave propagation in dense astrophysical bodies.

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Particle–Antiparticle Trapping in a Magnetically Quantized Plasma and Its Effect on the Evolution of Solitary Wave

Deka¹,

Dev

2021

Lecture Notes in Mechanical Engineering

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Nonlinear ion acoustic waves in a relativistic degenerate plasma with Landau diamagnetism and electron trapping

Cited by 13 publications

References 50 publications

Neutrino-driven Instability of Ion Acoustic Waves in an Ultrarelativistic Degenerate Plasma

Neutrino-driven Instability of Ion Acoustic Waves in an Ultrarelativistic Degenerate Plasma

Ion acoustic solitary and shock waves in strongly coupled degenerate plasma with relativistic effects

Particle–Antiparticle Trapping in a Magnetically Quantized Plasma and Its Effect on the Evolution of Solitary Wave

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