Collective excitations in strongly coupled ultra-relativistic plasmas

Peter Hartmann, Gabor J. Kalman, Kenneth I. Golden, Z. Donkó

Research output: Contribution to journalArticle

Abstract

In the collective mode spectrum of a relativistic, strongly coupled plasma, novel physical effects emerge, which are absent both in the weakly coupled relativistic and in the strongly coupled non-relativistic plasmas. Inspired by the pseudo-relativistic behavior of the electron gas in two-dimensional graphene layers, we address the problem of a classical two-dimensional, ultra-relativistic system of charged particles. We investigate the mode dispersion and damping both through molecular dynamics simulations and analytically via the quasi-localized charge approximation and develop modifications of the theory appropriate for this system. The new aspect introduced in the simulation is the decoupling of particle velocities from the particle momenta. As for new physical features, their origin is to be sought in the constancy of particle speeds and in the broad distribution of 'plasma frequencies', mimicking the similar distribution of momenta is causing the system to emulate the behavior of a collection of an infinite number of oscillators. Of particular interest is the strongly reduced damping at weak coupling, brought about by the disappearance of the Landau damping and the greatly enhanced damping at strong coupling, caused by the phase mixing of the coupled plasma oscillators. We suggest the possible experimental detection of these effects in graphene.

Original languageEnglish
Article number214018
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number21
DOIs
Publication statusPublished - 2009

Fingerprint

relativistic plasmas
Damping
Plasma
Excitation
damping
Plasmas
Graphene
graphene
oscillators
excitation
strongly coupled plasmas
momentum
Momentum
Landau damping
plasma frequencies
decoupling
Electron gas
electron gas
Weak Coupling
charged particles

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

Cite this

Collective excitations in strongly coupled ultra-relativistic plasmas. / Hartmann, Peter; Kalman, Gabor J.; Golden, Kenneth I.; Donkó, Z.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 21, 214018, 2009.

Research output: Contribution to journalArticle

Hartmann, Peter ; Kalman, Gabor J. ; Golden, Kenneth I. ; Donkó, Z. / Collective excitations in strongly coupled ultra-relativistic plasmas. In: Journal of Physics A: Mathematical and Theoretical. 2009 ; Vol. 42, No. 21.
@article{e1853cdc5bf84243aee00693facc4f80,
title = "Collective excitations in strongly coupled ultra-relativistic plasmas",
abstract = "In the collective mode spectrum of a relativistic, strongly coupled plasma, novel physical effects emerge, which are absent both in the weakly coupled relativistic and in the strongly coupled non-relativistic plasmas. Inspired by the pseudo-relativistic behavior of the electron gas in two-dimensional graphene layers, we address the problem of a classical two-dimensional, ultra-relativistic system of charged particles. We investigate the mode dispersion and damping both through molecular dynamics simulations and analytically via the quasi-localized charge approximation and develop modifications of the theory appropriate for this system. The new aspect introduced in the simulation is the decoupling of particle velocities from the particle momenta. As for new physical features, their origin is to be sought in the constancy of particle speeds and in the broad distribution of 'plasma frequencies', mimicking the similar distribution of momenta is causing the system to emulate the behavior of a collection of an infinite number of oscillators. Of particular interest is the strongly reduced damping at weak coupling, brought about by the disappearance of the Landau damping and the greatly enhanced damping at strong coupling, caused by the phase mixing of the coupled plasma oscillators. We suggest the possible experimental detection of these effects in graphene.",
author = "Peter Hartmann and Kalman, {Gabor J.} and Golden, {Kenneth I.} and Z. Donk{\'o}",
year = "2009",
doi = "10.1088/1751-8113/42/21/214018",
language = "English",
volume = "42",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "21",

}

TY - JOUR

T1 - Collective excitations in strongly coupled ultra-relativistic plasmas

AU - Hartmann, Peter

AU - Kalman, Gabor J.

AU - Golden, Kenneth I.

AU - Donkó, Z.

PY - 2009

Y1 - 2009

N2 - In the collective mode spectrum of a relativistic, strongly coupled plasma, novel physical effects emerge, which are absent both in the weakly coupled relativistic and in the strongly coupled non-relativistic plasmas. Inspired by the pseudo-relativistic behavior of the electron gas in two-dimensional graphene layers, we address the problem of a classical two-dimensional, ultra-relativistic system of charged particles. We investigate the mode dispersion and damping both through molecular dynamics simulations and analytically via the quasi-localized charge approximation and develop modifications of the theory appropriate for this system. The new aspect introduced in the simulation is the decoupling of particle velocities from the particle momenta. As for new physical features, their origin is to be sought in the constancy of particle speeds and in the broad distribution of 'plasma frequencies', mimicking the similar distribution of momenta is causing the system to emulate the behavior of a collection of an infinite number of oscillators. Of particular interest is the strongly reduced damping at weak coupling, brought about by the disappearance of the Landau damping and the greatly enhanced damping at strong coupling, caused by the phase mixing of the coupled plasma oscillators. We suggest the possible experimental detection of these effects in graphene.

AB - In the collective mode spectrum of a relativistic, strongly coupled plasma, novel physical effects emerge, which are absent both in the weakly coupled relativistic and in the strongly coupled non-relativistic plasmas. Inspired by the pseudo-relativistic behavior of the electron gas in two-dimensional graphene layers, we address the problem of a classical two-dimensional, ultra-relativistic system of charged particles. We investigate the mode dispersion and damping both through molecular dynamics simulations and analytically via the quasi-localized charge approximation and develop modifications of the theory appropriate for this system. The new aspect introduced in the simulation is the decoupling of particle velocities from the particle momenta. As for new physical features, their origin is to be sought in the constancy of particle speeds and in the broad distribution of 'plasma frequencies', mimicking the similar distribution of momenta is causing the system to emulate the behavior of a collection of an infinite number of oscillators. Of particular interest is the strongly reduced damping at weak coupling, brought about by the disappearance of the Landau damping and the greatly enhanced damping at strong coupling, caused by the phase mixing of the coupled plasma oscillators. We suggest the possible experimental detection of these effects in graphene.

UR - http://www.scopus.com/inward/record.url?scp=67650881915&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67650881915&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/42/21/214018

DO - 10.1088/1751-8113/42/21/214018

M3 - Article

AN - SCOPUS:67650881915

VL - 42

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 21

M1 - 214018

ER -