2009 Fiscal Year Final Research Report
Understanding of a mechanism of a structure formation in two-dimensional point vortex system at negative temperature
| Project/Area Number |
20740222
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Shizuoka University |
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Principal Investigator |
YATSUYANAGI Yuichi Shizuoka University, 教育学部, 准教授 (30287990)
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| Project Period (FY) |
2008 – 2009
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| Keywords | 流体物理 / 渦構造形成 |
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| Research Abstract |
A motivation of this work is to understand a dynamics of the two-dimensional point vortex system characterized by statistically-defined temperature. There are two topics to be focused: (1) to verify a validity of an equilibrium solution of the discrete point vortex system presented by Montgomery etal. that has been only checked for the continuous Euler system, (2) to determine parameters characterizing a structure formation that can be seen as vortex crystals, and decay processes. In topic (1), we have confirmed the validity of Montgomery's conjecture. In topic (2), we have found the conserved quantity does not conserve due to a diffusion effect arising from a discrete distribution of the vorticity. Now, we are trying to understand the effect quantitatively.
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