The construction of an operational variation principle in non-equilibrium systems and its application

非平衡系统运行变分原理的构建及其应用

• 批准号: 23654130
• 负责人: SASA Shin-ichi
• 金额: $ 1.83万
• 依托单位: Kyoto University (2012)The University of Tokyo (2011)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654130/
• 关键词: ゆらぎ; 統計; 非平衡; 非平衡ゆらぎ; 大偏差関数; 変分原理; 熱力学; 統計物理

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.

当时间间隔足够大时，在时间间隔期间平均的平均值几乎肯定取最可能的值。与这个最可能值有很大偏差的事件很少发生。罕见事件的频率相对于时间间隔呈指数小，并且罕见性质的程度由指数因子表征。我们提出了一个新的公式，它可以通过实验室实验而无需测量涨落来获得稀有性的程度。由于该公式目前仅适用于简单系统，因此我们还试图深入了解公式背后的数学结构。

项目成果

Response Measurement of rare Fluctuations

罕见波动的响应测量

• 发表时间: 2012
• 作者: Ishihara;Shozo;S. Sasa
• 通讯作者: S. Sasa

Physics of Large Deviation

大偏差物理学

• DOI: 10.1088/0031-8949/86/05/058514
• 发表时间: 2012
• 期刊: Phys. Scr
• 作者: Jiyoung Kang;Yohsuke Hagiwara;and Masaru Tateno;Shin-ichi Sasa
• 通讯作者: Shin-ichi Sasa

Thermodynamic formula for the cumulant generating function of time-averaged current

时均电流累积生成函数的热力学公式

• DOI: 10.1103/physreve.84.061113
• 发表时间: 2011
• 期刊: Phys. Rev. E
• 作者: Ishihara;Shozo;Takahiro Nemoto and Shin-ichi Sasa
• 通讯作者: Takahiro Nemoto and Shin-ichi Sasa

Work relations for time-dependent states

依赖时间的国家的工作关系

• DOI: 10.1103/physreve.87.022109
• 发表时间: 2013
• 期刊: Phys. Rev. E
• 作者: M. Miyasita;K. Higuchi and M. Higuchi;Y. Matsuo and S. Abe;Naoko Nakagawa and Shin-ichi Sasa
• 通讯作者: Naoko Nakagawa and Shin-ichi Sasa

Pure Glass in Finite Dimensions

有限尺寸的纯玻璃

• DOI: 10.1103/physrevlett.109.165702
• 发表时间: 2012
• 期刊: Phys. Rev. Lett
• 作者: Jiyoung Kang;Yohsuhe Hagiwara;Masaru Tateno;Shin-ichi Sasa
• 通讯作者: Shin-ichi Sasa