Quasilocal rotating conformal Killing horizons

Chatterjee, Ayan; Ghosh, Avirup

doi:10.1103/physrevd.92.044003

Cited by 13 publications

(28 citation statements)

References 55 publications

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“…Let us point out a key difference between this result and the results of earlier studies (Weiland et al 1978;Flå et al 1989;Ehsan et al 2009;Chatterjee & Misra 2015;Misra et al 2017;Chaudhuri & Roy Chowdh (2018)), which considered the effect of nonlinear Landau damping on an isolated soliton. Those earlier studies found that such a soliton will experience decay and a frequency shift of the carries.…”

Section: Summary and Discussioncontrasting

confidence: 68%

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Relativistic charge solitons created due to non-linear Landau damping: a candidate for explaining coherent radio emission in pulsars

Lakoba

Mitra

Melikidze

2018

Monthly Notices of the Royal Astronomical Society

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A potential resolution for the generation of coherent radio emission in pulsar plasma is the existence of relativistic charge solitons, which are solutions of nonlinear Schrödinger equation (NLSE). In an earlier study, Melikidze et al. (2000) investigated the nature of these charge solitons; however, their analysis ignored the effect of nonlinear Landau damping, which is inherent in the derivation of the NLSE in the pulsar pair plasma. In this paper we include the effect of nonlinear Landau damping and obtain solutions of the NLSE by applying a suitable numerical scheme. We find that for reasonable parameters of the cubic nonlinearity and nonlinear Landau damping, soliton-like intense pulses emerge from an initial disordered state of Langmuir waves and subsequently propagate stably over sufficiently long times, during which they are capable of exciting the coherent curvature radiation in pulsars. We emphasize that this emergence of stable intense solitons from a disordered state does not occur in a purely cubic NLSE; thus, it is caused by the nonlinear Landau damping.

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Section: Summary and Discussioncontrasting

confidence: 68%

“…has been derived for other types of plasmas; see, e.g.,Ehsan et al (2009);Chatterjee & Misra (2015);Misra et al (2017);Chaudhuri & Roy Chowdhury (2018); to name just a few studies. Related plasma models that also account for nonlinear Landau damping can be found, e.g., inMeiss & Morrison (1983); RoyChowdhury et al (1988); Flå et al…”

mentioning

confidence: 99%

Relativistic charge solitons created due to non-linear Landau damping: a candidate for explaining coherent radio emission in pulsars

Lakoba

Mitra

Melikidze

2018

Monthly Notices of the Royal Astronomical Society

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“…Many of the more well-known aspects of Landau damping can be studied even for an infinite plane wave. Generalizing this setup to the more realistic case of propagating wave packet, the effects of group velocity resonances enter the picture [8][9][10]. In this context, the nonlinear theory of Landau damping due to group velocity resonance of wave envelopes has been developed in both classical [9] and semiclassical plasmas [10].…”

Section: Introductionmentioning

confidence: 99%

Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma

2017

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We study the nonlinear wave modulation of Langmuir waves (LWs) in a fully degenerate plasma. Using the Wigner-Moyal equation coupled to the Poisson equation and the multiple scale expansion technique, a modified nonlocal nonlinear Schrödinger (NLS) equation is derived which governs the evolution of LW envelopes in degenerate plasmas. The nonlocal nonlinearity in the NLS equation appears due to the group velocity and multi-plasmon resonances, i.e., resonances induced by the simultaneous particle absorption of multiple wave quanta. We focus on the regime where the resonant velocity of electrons is larger than the Fermi velocity and thereby the linear Landau damping is forbidden. As a result, the nonlinear wave-particle resonances due to the group velocity and multiplasmon processes are the dominant mechanisms for wave-particle interaction. It is found that in contrast to classical or semiclassical plasmas, the group velocity resonance does not necessarily give rise the wave damping in the strong quantum regime where k ∼ mvF with denoting the reduced Planck's constant, m the electron mass and vF the Fermi velocity, however, the three-plasmon process plays a dominant role in the nonlinear Landau damping of wave envelopes. In this regime, the decay rate of the wave amplitude is also found to be higher compared to that in the modest quantum regime where the multi-plasmon effects are forbidden.

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“…Studies of e-p pair plasmas demonstrated that electrostatic solitary waves can be generated [40], though a Maxwellian distribution was assumed. A number of papers have also been devoted to the linear and nonlinear dynamics of electronacoustic waves [46,47], electrostatic waves [48][49][50][51][52][53][54][55], and in the presence of suprathermal (and non-thermal) electrons [46,50,52] in e-p pair plasmas. Moreover, the propagation of ion-acoustic waves [56][57][58][59], and dust-acoustic waves [60][61][62] have recently been studied in e-p plasmas.…”

Section: Introductionmentioning

confidence: 99%

Electrostatic solitary waves in an electron-positron pair plasma with suprathermal electrons

Danehkar

2017

Physics of Plasmas

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The nonlinear propagation of electrostatic solitary waves is studied in a collisionless electronpositron pair plasma consisting of adiabatic cool electrons, mobile cool positrons (or electron holes), hot suprathermal electrons described by a κ distribution, and stationary ions. The linear dispersion relation derived for electrostatic waves demonstrates a weak dependence of the phase speed on physical conditions of positrons in appropriate ranges of parameters. The Sagdeev's pseudopotential approach is used to obtain the existence of electrostatic solitary wave structures, focusing on how their characteristics depend on the physical conditions of positrons and suprathermal electrons. Both negative and positive polarity electrostatic solitary waves are found to exist in different ranges of Mach numbers. As the positrons constitute a small fraction of the total number density, they slightly affect the existence domains. However, the positrons can significantly change the wave potential at a fixed soliton speed. The results indicate that the positive potential can greatly be grown by increasing the electron suprathermality (lower κ) at a fixed true Mach number. It is found that a fraction of positrons maintain the generation of positive polarity electrostatic solitary waves in the presence of suprathermal electrons in pair plasmas.

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Quasilocal rotating conformal Killing horizons

Cited by 13 publications

References 55 publications

Relativistic charge solitons created due to non-linear Landau damping: a candidate for explaining coherent radio emission in pulsars

Relativistic charge solitons created due to non-linear Landau damping: a candidate for explaining coherent radio emission in pulsars

Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma

Electrostatic solitary waves in an electron-positron pair plasma with suprathermal electrons

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