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We present a first physical application of Tsallis' generalized entropy to the ther-modynamics of self-gravitating systems. The stellar system confined in a spherical cavity of radius r e exhibits an instability, so-called gravothermal catastrophe, which has been originally investigated by Antonov (Vest. basis of the maximum entropy principle for the… (More)

We present a first physical application of Tsallis' generalized entropy to the ther-modynamics of self-gravitating systems. The stellar system confined in a spherical cavity of radius r e exhibits an instability, so-called gravothermal catastrophe, which has been originally investigated by Antonov (Vest. basis of the maximum entropy principle for the… (More)

- Kei Terayama, Hirohisa Hioki, Masa-Aki Sakagami
- ISM
- 2014

—We propose a measurement method for the mean speed distribution of collective motions of highly dense groups with optical flow in this paper. This measurement is fundamental for ecological investigations and mathematical modeling of collective animal behaviors, including human crowds. Our method is applicable to highly dense homogeneous groups wherein… (More)

We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Taruya & Sak-agami, Physica A 307 (2002) 185 (cond-mat/0107494); ibid. (2002) in press (cond-mat/0204315)) have revealed that the extremum-state of Tsallis entropy characterized by the so-called stellar… (More)

We construct a phenomenological conformal field theory (CFT) model of the three-dimensional Hawking-Page transition. We find that free fermion CFT models on the boundary torus give a description of the three-dimensional Hawking-Page transition. If modular invariance is respected, the free fermion model implies that the transition occurs continuously through… (More)

In this paper, we continue to investigate the thermodynamic properties of stellar self-gravitating system arising from the Tsallis generalized entropy. In particular, physical interpretation of the thermodynamic instability, as has been revealed by previous paper(Taruya & Sakagami, Physica A 307 (2002) 185), is discussed in detail based on the framework of… (More)

- Atsushi Taruya, Masa-aki Sakagami
- Physical review letters
- 2003

With particular attention to the recently postulated introduction of a nonextensive generalization of Boltzmann-Gibbs statistics, we study the long-term stellar dynamical evolution of self-gravitating systems on time scales much longer than the two-body relaxation time. In a self-gravitating N-body system confined in an adiabatic wall, we show that the… (More)

- Kei Terayama, Koki Hongo, Hitoshi Habe, Masa-Aki Sakagami
- ACPR
- 2015

In this paper, a quantitative characterization for the evolutionary sequence of stellar self-gravitating system is investigated, focusing on the pre-collapse stage of the long-term dynamical evolution. In particular, we consider the quasi-equilibrium behaviors of the N-body systems in the setup of the so-called Antonov problem, i.e., self-gravitating N-body… (More)

We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Physica A 307 (2002) 185; ibid. (2003) in press (cond-mat/0204315)) have revealed that the extremum-state of Tsallis entropy, so-called stellar polytrope, has consistent thermo-dynamic structure, which predicts… (More)