Constructing a phenomenological theory for evolution of structure in self-gravitating systems
| Project/Area Number |
24654120
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Ochanomizu University |
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Principal Investigator |
TASHIRO Tohru お茶の水女子大学, 理学部, 研究員 (80436724)
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| Research Collaborator |
TAKAYUKI Tatekawa 福井大学総合情報基盤センター
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 自己重力系 / 準平衡状態 / 負の比熱 / 球状星団 / 銀河 / 分子雲フィラメント構造 / 普遍的密度プロファイル / 重力シートモデル / 力学平衡 / 星間ガスのフィラメント構造 / ブラックホール |
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| Outline of Final Research Achievements |
Universalities among different phases or different dimensions of self-gravitating systems in the quasi-equilibrium state were found in this study.
Universality among the different phases: Observations that there are power law relations between a mass of black hole (M) and a velocity dispersion of surrounding stars (σ) have a lot of attentions. Then, we investigated whether such a relation holds or not in numerical simulations of self-gravitating systems, and so it was unveiled that the dependence of σ on M has a universality among different phases, the dynamical equilibrium state and the quasi-equilibrium state.
Universality among the different dimensions: We made it clear that the number densities in the quasi-equilibrium states for 1, 2 and 3 dimensional self-gravitating systems have a universality that they have a flat core around the center and decay with power law outside the core radius. Moreover, we derived these universal densities from one phenomenological theory.
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Report
(4 results)
Research Products
(19 results)
