2009 Fiscal Year Final Research Report
Construction of non-equilibrium statistical mechanics for systems with long-range interactions
| Project/Area Number |
18340114
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (B)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical physics/Fundamental condensed matter physics
|
|---|
| Research Institution | Kyoto University |
|---|
Principal Investigator |
SAKAGAMI Masaaki Kyoto University, 大学院・人間・環境学研究科, 教授 (70202083)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
TARUYA Atsushi 東京大学, 理学研究科, 助教 (40334239)
OKAMURA Takashi 関西学院大学, 理工学部, 准教授 (30351737)
|
|---|
| Project Period (FY) |
2006 – 2009
|
| Keywords | 準定常状態 / ポリトロープ / 長距離相互作用 / 重力多体系 / 負の比熱 / Tsallisエントロピー / q-変形 |
|---|
| Research Abstract |
We studied non-equilibrium evolution of the long-rang interacting systems, e.g. the self-gravitating N-body system, by means of the non-additive Tsallis entropy. It was shown that notion of polytrope is quite useful to describe transient evolution of the systems. And we succeeded to derive the evolution equation for polytropic index.
|
