Roles of arbitrarily charged heavy ions and degenerate plasma pressure in cylindrical and spherical IA shock waves

2015

Contrib. Plasma Phys.

The nonlinear propagation of modified electron-acoustic (mEA) shock waves in an unmagnetized, collisionless, relativistic, degenerate quantum plasma (containing non-relativistic degenerate inertial cold electrons, both nonrelativistic and ultra-relativistic degenerate hot electron and inertial positron fluids, and positively charged static ions) has been investigated theoretically. The well-known Burgers type equation has been derived for both planar and nonplanar geometry by employing the reductive perturbation method. The shock wave solution has also been obtained and numerically analyzed. It has been observed that the mEA shock waves are significantly modified due to the effects of degenerate pressure and other plasma parameters arised in this investigation. The properties of planar Burgers shocks are quite different from those of nonplanar Burgers shocks. The basic features and the underlying physics of shock waves, which are relevant to some astrophysical compact objects (viz. non-rotating white dwarfs, neutron stars, etc.), are briefly discussed.

Section: Parametric Investigation and Resultsmentioning

confidence: 99%

Section: Parametric Investigation and Resultsmentioning

confidence: 99%

Planar and Nonplanar Shock Waves in a Degenerate Quantum Plasma

Ema

2015

Contrib. Plasma Phys.

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Ema

2015

Contrib. Plasma Phys.

An investigation has been made on heavy ion-acoustic (HIA) nonplanar shocks and solitons in an unmagnetized, collisionless, strongly coupled plasma whose constituents are strongly correlated adiabatic inertial heavy ions, weakly correlated nonextensive distributed electrons and Maxwellian light ions. By using appropriate nonlinear equations for our strongly coupled plasma system and the well-known reductive perturbation technique, a modified Burgers (mB) equation and a modified Korteweg-de Vries (mK-dV) equation have been derived. They are also numerically solved in order to investigate the basic features (viz. polarity, amplitude, width, etc.) of cylindrical and spherical shock/solitary waves in such a strongly coupled plasma system. The roles of heavy ion dynamics, nonextensivity of electrons, and other plasma parameters arised in this investigation have significantly modified the basic features of the cylindrical and spherical HIA solitary and shock waves. The findings of our results obtained from this theoretical investigation may be useful in understanding the nonlinear phenomena associated with the cylindrical and spherical HIA waves both in space and laboratory plasmas.

“…For describing and analyzing the different astrophysical environments [14][15][16] (where particle velocities are close to the speed of light), relativistic degeneracy of plasmas has received a great attention and relativistic effects [17][18][19][20][21] play an important role in understanding the different electrostatic nonlinear phenomena. Plasmas in different astrophysical compact objects such as white dwarfs, neutron stars, and so on are examples where relativistic degeneracy is a dominant phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Modified Ion-Acoustic Shock Waves and Double Layers in a Degenerate Electron-Positron-Ion Plasma in Presence of Heavy Negative Ions

2014

Braz J Phys

A general theory for nonlinear propagation of one dimensional modified ion-acoustic waves in an unmagnetized electron-positron-ion (e-p-i) degenerate plasma is investigated. This plasma system is assumed to contain relativistic electron and positron fluids, non-degenerate viscous positive ions, and negatively charged static heavy ions. The modified Burgers and Gardner equations have been derived by employing the reductive perturbation method and analyzed in order to identify the basic features (polarity, width, speed, etc.) of shock and double layer (DL) structures. It is observed that the basic features of these shock and DL structures obtained from this analysis are significantly different from those obtained from the analysis of standard Gardner or Burgers equations. The implications of these results in space and interstellar compact objects (viz. nonrotating white dwarfs, neutron stars, etc.) are also briefly mentioned.