Effects of bohm potentials and fermi temperatures on nonplanar solitary and shock excitations in a strongly-coupled quantum plasma

Dip, P. R.; Hossen, M. R.; Salahuddin, M.; Mamun, A. A.

doi:10.3938/jkps.70.777

Cited by 5 publications

(3 citation statements)

References 36 publications

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“…However, studies of relativistic degeneracy of plasmas have gained massive attention because of its vital role in different astrophysical situations. [26][27][28][29] Furthermore, white dwarfs contain mainly oxygen, carbon, and helium with a covering of hydrogen gas, [9,12,17] and the electron species are relativistically degenerate not only within the inner core of the white dwarfs but also these are non-relativistically degenerate in their outer mantle. [12,30,31] Garcia-Berro et al [13] studied that the main constituents of compact objects (e.g., white dwarfs, neutron stars, and black holes, etc.)…”

Section: Introductionmentioning

confidence: 99%

Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas

Zaman¹,

Amina²,

Dip³

et al. 2018

Chinese Phys. B

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Nucleus-acoustic (NA) solitary waves (SWs) propagating in a self-gravitating degenerate quantum plasma (SDQP) system (containing non-relativistically degenerate heavy and light nuclei, and non-/ultra-relativistically degenerate electrons) have been theoretically investigated. The modified Korteweg-de Vries (mK-dV) equation has been derived for both planar and non-planar geometry by employing the reductive perturbation technique. It is shown that the NA SWs exist with positive (negative) electrostatic (self-gravitational) potential. It is also observed that the effects of non-/ultra-relativistically degenerate electron pressure, dynamics of non-relativistically light nuclei, spherical geometry, etc. significantly modify the basic features (e.g., amplitude, width, speed, etc.) of the NA SWs. The applications of our results, which are relevant to astrophysical compact objects, like white dwarfs and neutron stars, are briefly discussed.

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Section: Introductionmentioning

confidence: 99%

Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas

Zaman¹,

Amina²,

Dip³

et al. 2018

Chinese Phys. B

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“…It may be included that m e is the mass of electrons, h is Planck's constant divided by 2π, and c is the speed of light in vacuum. Recently, relativistic degenerate plasma has achieved enormous attention due to its existence in interstellar compact objects [21][22][23][24] and in intense laser plasma experiments [25].…”

Section: Introductionmentioning

confidence: 99%

Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Zaman,

Amina,

Mamun

2017

Preprint

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The basic properties of the nucleus-acoustic (NA) solitary waves (SWs) are investigated in a super-dense self-gravitating magnetized quantum plasma (SDSGMQP) system in the presence of an external magnetic field, whose constituents are the non-degenerate light (heavy) nuclei, and non/ultra-relativistically degenerate electrons. The Korteweg-de Vries (KdV) equation has been derived by employing the reductive perturbation method. The NA SWs are formed with negative (positive) electrostatic (self-gravitational) potential. It is also observed that the effects of non/ultra-relativistically degenerate electron pressure, and the obliqueness of the external magnetic field significantly change the basic properties (e.g. amplitude, width, and speed) of NA SWs. The findings of our present analysis can be very helpful to explain the physics behind the formation of the NA SWs in astrophysical compact objects, specially neutron stars, which are briefly discussed.

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“…[39] Dip et al studied the existence of nonplanar solitary and shock waves with the effects of Bohm potentials and Fermi temperatures in a strongly coupled degenerate state and found that the height of the solitary (shock) wave decreases (increases) with increasing the equilibrium electron (positive ion) number density. [40] Roy et al observed either oscillatory or monotonic shock wave structure depending on electron-to-ion density ratio, ion kinematic viscosity and quantum diffraction parameter for ion acoustic solitary/shock waves in an electron-positron-ion plasma. [41] On the other hand, the concept of Landau quantization in strong magnetic field is very important as it can significantly modify the equation of state of electrons by effecting the number of electrons in each discrete level.…”

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confidence: 99%

Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma^*

Deka¹,

Dev²

2020

Chinese Phys. Lett.

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A three-dimensional (3D) Burgers’ equation adopting perturbative methodology is derived to study the evolution of a shock wave with Landau quantized magnetic field in relativistic quantum plasma. The characteristics of a shock wave in such a plasma under the influence of magnetic quantization, relativistic parameter and degenerate electron density are studied with assistance of steady state solution. The magnetic field has a noteworthy control, especially on the shock wave’s amplitude in the lower range of the electron density, whereas the amplitude in the higher range of the electron density reduces remarkably. The rate of increase of shock wave potential is much higher (lower) with a magnetic field in the lower (higher) range of electron density. With the relativistic factor, the shock wave’s amplitude increases significantly and the rate of increase is higher (lower) for lower (higher) electron density. The combined effect of the increase of relativistic factor and the magnetic field on the strength of the shock wave, results in the highest value of the wave potential in the lower range of the degenerate electron density.

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Effects of bohm potentials and fermi temperatures on nonplanar solitary and shock excitations in a strongly-coupled quantum plasma

Cited by 5 publications

References 36 publications

Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas

Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas

Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma^*

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Effects of bohm potentials and fermi temperatures on nonplanar solitary and shock excitations in a strongly-coupled quantum plasma

Cited by 5 publications

References 36 publications

Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas

Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas

Nucleus-acoustic solitons in self-gravitating magnetized quantum plasmas

Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma*

Contact Info

Product

Resources

About

Supersonic Shock Wave with Landau Quantization in a Relativistic Degenerate Plasma^*