Constructing a phenomenological theory for evolution of structure in self-gravitating systems

2014 Fiscal Year Final Research Report

• Project/Area Number: 24654120
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Ochanomizu University
• Principal Investigator: TASHIRO Tohru お茶の水女子大学, 理学部, 研究員 (80436724)
• Research Collaborator: TAKAYUKI Tatekawa 福井大学総合情報基盤センター
• Project Period (FY): 2012-04-01 – 2015-03-31
• 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

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.

Free Research Field

非平衡統計物理学