### Abstract

We have performed numerical simulations on the pure electron plasma system under strong magnetic field, and examined stationary states that the system eventually evolves into from various initial configurations. We compare our results with experiments and some statistical theories, which include the Gibbs-Boltzmann statistics, Tsallis statistics, the fluid entropy theory, and the minimum enstrophy state. We find that the final stationary states depend upon initial states, even if the initial states have the same energy and angular momentum; this means this system is not ergodic. From some of those initial states we obtain the final states which are close to the minimum enstrophy state. However, we find that from some other initial states, the system evolves not into stationary state but into the vortex crystal state, which strongly depends upon microscopic structure of the initial states due to the chaotic dynamics of transient vortex clumps.

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

Pages (from-to) | 228-235 |

Number of pages | 8 |

Journal | Progress of Theoretical Physics Supplement |

Volume | 162 |

DOIs | |

Publication status | Published - Aug 18 2006 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

**Simulation of stationary states of the two dimensional electron plasma trapped in magnetic field.** / Kawahara, Ryo; Nakanishi, Hiizu.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics Supplement*, vol. 162, pp. 228-235. https://doi.org/10.1143/PTPS.162.228

}

TY - JOUR

T1 - Simulation of stationary states of the two dimensional electron plasma trapped in magnetic field

AU - Kawahara, Ryo

AU - Nakanishi, Hiizu

PY - 2006/8/18

Y1 - 2006/8/18

N2 - We have performed numerical simulations on the pure electron plasma system under strong magnetic field, and examined stationary states that the system eventually evolves into from various initial configurations. We compare our results with experiments and some statistical theories, which include the Gibbs-Boltzmann statistics, Tsallis statistics, the fluid entropy theory, and the minimum enstrophy state. We find that the final stationary states depend upon initial states, even if the initial states have the same energy and angular momentum; this means this system is not ergodic. From some of those initial states we obtain the final states which are close to the minimum enstrophy state. However, we find that from some other initial states, the system evolves not into stationary state but into the vortex crystal state, which strongly depends upon microscopic structure of the initial states due to the chaotic dynamics of transient vortex clumps.

AB - We have performed numerical simulations on the pure electron plasma system under strong magnetic field, and examined stationary states that the system eventually evolves into from various initial configurations. We compare our results with experiments and some statistical theories, which include the Gibbs-Boltzmann statistics, Tsallis statistics, the fluid entropy theory, and the minimum enstrophy state. We find that the final stationary states depend upon initial states, even if the initial states have the same energy and angular momentum; this means this system is not ergodic. From some of those initial states we obtain the final states which are close to the minimum enstrophy state. However, we find that from some other initial states, the system evolves not into stationary state but into the vortex crystal state, which strongly depends upon microscopic structure of the initial states due to the chaotic dynamics of transient vortex clumps.

UR - http://www.scopus.com/inward/record.url?scp=33747101717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747101717&partnerID=8YFLogxK

U2 - 10.1143/PTPS.162.228

DO - 10.1143/PTPS.162.228

M3 - Article

AN - SCOPUS:33747101717

VL - 162

SP - 228

EP - 235

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

ER -