### 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 |
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Pages | 228-235 |

Number of pages | 8 |

DOIs | |

Publication status | Published - Feb 1 2006 |

Event | International Workshop on Complexity and Nonextensivity: New Trends in Statistical Mechanics, CN-Kyoto 2005 - Kyoto, Japan Duration: Mar 14 2005 → Mar 18 2005 |

### Other

Other | International Workshop on Complexity and Nonextensivity: New Trends in Statistical Mechanics, CN-Kyoto 2005 |
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Country | Japan |

City | Kyoto |

Period | 3/14/05 → 3/18/05 |

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### All Science Journal Classification (ASJC) codes

- Statistics, Probability and Uncertainty
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

*Simulation of stationary states of the two dimensional electron plasma trapped in magnetic field*. 228-235. Paper presented at International Workshop on Complexity and Nonextensivity: New Trends in Statistical Mechanics, CN-Kyoto 2005, Kyoto, Japan. https://doi.org/10.1143/PTPS.162.228

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

Research output: Contribution to conference › Paper

}

TY - CONF

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

AU - Kawahara, Ryo

AU - Nakanishi, Hiizu

PY - 2006/2/1

Y1 - 2006/2/1

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=84964974485&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964974485&partnerID=8YFLogxK

U2 - 10.1143/PTPS.162.228

DO - 10.1143/PTPS.162.228

M3 - Paper

AN - SCOPUS:84964974485

SP - 228

EP - 235

ER -