### Abstract

Original language | English |
---|---|

Article number | 124040 |

Number of pages | 16 |

Journal | Plasma Physics and Controlled Fusion |

Volume | 52 |

Issue number | 12 |

DOIs | |

Publication status | Published - 15 Nov 2010 |

### Fingerprint

### Keywords

- quantum plasmas
- developments
- nonlinear quantum plasma physics
- quantum hydrodynamics

### Cite this

*Plasma Physics and Controlled Fusion*,

*52*(12), [124040]. https://doi.org/10.1088/0741-3335/52/12/124040

}

*Plasma Physics and Controlled Fusion*, vol. 52, no. 12, 124040. https://doi.org/10.1088/0741-3335/52/12/124040

**Recent developments in quantum plasma physics.** / Shukla, Padma; Eliasson, Bengt.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Recent developments in quantum plasma physics

AU - Shukla, Padma

AU - Eliasson, Bengt

PY - 2010/11/15

Y1 - 2010/11/15

N2 - We present a review of recent developments in nonlinear quantum plasma physics involving quantum hydrodynamics and effective nonlinear Schrödinger equation formalisms, for describing collective phenomena in dense quantum plasmas with degenerate electrons. As examples, we discuss simulation studies of the formation and dynamics of dark solitons and quantum vortices, and of nonlinear interactions between intense circularly polarized electromagnetic (CPEM) waves and electron plasma oscillations (EPOs) in dense quantum-electron plasmas with immobile ions. The electron dynamics of dark solitons and quantum vortices is governed by a pair of equations comprising the nonlinear Schrödinger and Poisson system of equations. Both dark solitons and singly charged electron vortices are robust, and the latter tend to form pairs of oppositely charged vortices. The two-dimensional quantum-electron vortex pairs survive during collisions under the change of partners. The dynamics of the CPEM waves is governed by a nonlinear Schrödinger equation, which is nonlinearly coupled with the Schrödinger equation of the EPOs via the relativistic ponderomotive force, the relativistic electron mass increase in the CPEM field, and the electron density fluctuations. The present governing equations in one-spatial dimension admit stationary solutions in the form of dark solitons. The nonlinear equations also depict trapping of localized CPEM wave envelopes in the electron density holes that are associated with a positive potential profile.

AB - We present a review of recent developments in nonlinear quantum plasma physics involving quantum hydrodynamics and effective nonlinear Schrödinger equation formalisms, for describing collective phenomena in dense quantum plasmas with degenerate electrons. As examples, we discuss simulation studies of the formation and dynamics of dark solitons and quantum vortices, and of nonlinear interactions between intense circularly polarized electromagnetic (CPEM) waves and electron plasma oscillations (EPOs) in dense quantum-electron plasmas with immobile ions. The electron dynamics of dark solitons and quantum vortices is governed by a pair of equations comprising the nonlinear Schrödinger and Poisson system of equations. Both dark solitons and singly charged electron vortices are robust, and the latter tend to form pairs of oppositely charged vortices. The two-dimensional quantum-electron vortex pairs survive during collisions under the change of partners. The dynamics of the CPEM waves is governed by a nonlinear Schrödinger equation, which is nonlinearly coupled with the Schrödinger equation of the EPOs via the relativistic ponderomotive force, the relativistic electron mass increase in the CPEM field, and the electron density fluctuations. The present governing equations in one-spatial dimension admit stationary solutions in the form of dark solitons. The nonlinear equations also depict trapping of localized CPEM wave envelopes in the electron density holes that are associated with a positive potential profile.

KW - quantum plasmas

KW - developments

KW - nonlinear quantum plasma physics

KW - quantum hydrodynamics

UR - http://iopscience.iop.org/0741-3335/52/12/124040/

U2 - 10.1088/0741-3335/52/12/124040

DO - 10.1088/0741-3335/52/12/124040

M3 - Article

VL - 52

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 12

M1 - 124040

ER -