2012 Fiscal Year Final Research Report
The construction of an operational variation principle in non-equilibrium systems and its application
| Project/Area Number |
23654130
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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 | Kyoto University (2012)
The University of Tokyo (2011) |
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Principal Investigator |
SASA Shin-ichi 京都大学, 大学院・理学研究科, 教授 (30235238)
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| Project Period (FY) |
2011 – 2012
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| Keywords | ゆらぎ / 統計 / 非平衡 |
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| Research Abstract |
Quantities averaged during a time interval almost surely take the most probable value when the time interval is sufficiently large. Events with the large deviation from this most probable value rarely occur. The frequency of rare events is exponentially small with respect to the time interval, and the extent of rare nature is characterized by the exponential factor. We have proposed a novel formula by which the extent of rare nature can be obtained by laboratory experiments without measuring fluctuation. Since the formula is practically useful only for simple systems for the moment, we have also attempted to obtain a deep understanding of mathematical structure behind the formula.
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