Nonplanar Shock Structures in a Relativistic Degenerate Multi-Species Plasma

Abstract

A nonlinear propagation of cylindrical and spherical modified ion-acoustic (mIA) waves in an unmagnetized, collisionless, relativistic, degenerate multi-species plasma has been investigated theoretically. This plasma system is assumed to contain non-relativistic degenerate light ions, both non-relativistic and ultra-relativistic degenerate electron and positron fluids, and arbitrarily charged static heavy ions. The restoring force is provided by the degenerate pressures of the electrons and positrons, whereas the inertia is provided by the mass of ions. The arbitrarily charged static heavy ions participate only in maintaining the quasi-neutrality condition at equilibrium. The modified Burgers (mB) equation is derived by using reductive perturbation technique and numerically analyzed to identify the basic features of mIA shock structures. The basic characteristics of mIA shock waves are found to be significantly modified by the effects of degenerate pressures of electron, positron, and ion fluids, their number densities, and various charge state of heavy ions. The implications of our results to dense plasmas in astrophysical compact objects (e.g., non-rotating white dwarfs, neutron stars, etc.) are briefly discussed.

Modulational instability and generation of envelope solitons in four‐component space plasmas

“…supernovae, pulsar environments, cluster explosions, [1,2] polar regions of neutron stars, [3] white dwarfs, [4,5] early universe, [6] inner regions of the accretion disc surrounding black holes, [7] pulsar magnetosphere, [8,9] centre of our galaxy, [10] and solar atmospheres. supernovae, pulsar environments, cluster explosions, [1,2] polar regions of neutron stars, [3] white dwarfs, [4,5] early universe, [6] inner regions of the accretion disc surrounding black holes, [7] pulsar magnetosphere, [8,9] centre of our galaxy, [10] and solar atmospheres.…”

“…Nowadays, physicists are mesmerized by the natural beauty of electron-positron-ion (e-p-i) plasmas because of many painstaking observations have disclosed the existence of e-p-i plasmas in various regions of our universe, viz. supernovae, pulsar environments, cluster explosions, [1,2] polar regions of neutron stars, [3] white dwarfs, [4,5] early universe, [6] inner regions of the accretion disc surrounding black holes, [7] pulsar magnetosphere, [8,9] centre of our galaxy, [10] and solar atmospheres. [11,12] To understand the physics of the collective processes in such plasmas, many researchers have studied the ion-acoustic waves (IAWs) [13][14][15][16][17] and electron-acoustic waves (EAWs) [18,19] in electron-ion (e-i) plasmas by considering Maxwellian distribution [20][21][22][23][24] for the plasma species.…”

Ion-Acoustic Solitary Waves and Double Layers in a Magnetized Degenerate Quantum Plasma

“…There has been a great deal of interest in understanding the plasma fluid dynamics inside the astrophysical dense electron-positron-ion (EPI) plasmas. The EPI plasma is an omnipresent ingredient of many astrophysical systems or regions, such as early universe [1], active galactic nuclei [2][3][4], pulsar magnetosphere [5,6], white dwarfs [7,8], polar regions of neutron stars [9], solar atmospheres [10,11], inner regions of the accretion disc surrounding black holes [12], center of our galaxy [13], etc. A number of invesitgations have been made on small amplitude solitons in EPI plasmas in the presence of significant percentage of positrons [14].…”

Nonplanar Shocks and Solitons in a Strongly Coupled Adiabatic Plasma: the Roles of Heavy Ion Dynamics and Nonextensitivity

“…If there is no transfer of heat or matter between a system and its surroundings then the process is said to be an adiabatic process and it can be considered as a key to concept in thermodynamics. Very recently, Hossen et al [41][42][43][44] have investigated theoretically the fundamental characteristics of nonplanar solitary and shock waves by considering positively charged static heavy ions in a relativistic degenerate plasma. Again, Elasmi et al [40] have considered adiabatic ion-fluid, nonextensive distributed electrons, and static negatively charged dust particles and studied the basic features of cylindrical or spherical DIA solitary waves.…”

“…Again, Elasmi et al [40] have considered adiabatic ion-fluid, nonextensive distributed electrons, and static negatively charged dust particles and studied the basic features of cylindrical or spherical DIA solitary waves. Very recently, Hossen et al [41][42][43][44] have investigated theoretically the fundamental characteristics of nonplanar solitary and shock waves by considering positively charged static heavy ions in a relativistic degenerate plasma. Since, the astrophysical plasmas can be confined by strongly coupled inertial heavy ions so the effect of the heavy ions has to be taken into account, especially for various space environments (e.g., white dwarfs, neutron stars, black holes, etc) where the adiabaticity, nonextensivity, and heavy ion dynamics play an important role in the formation and stability of the existing waves.…”