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，在时间间隔内平均的数量几乎肯定会取最可能的值。与这个最可能值有较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级小，罕见性的程度由指数因子来表征。我们提出了一个新颖的公式，通过该公式可以通过实验室实验获得稀有程度，而无需测量波动。由于该公式目前仅对简单系统有用，因此我们还尝试深入了解该公式背后的数学结构。

项目成果

Pure Glass in Finite Dimensions

有限尺寸的纯玻璃

• DOI: 10.1103/physrevlett.109.165702
• 发表时间: 2012
• 作者: Shin

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
• 作者: Naoko Nakagawa;Shin
• 通讯作者: Shin

Response Measurement of rare Fluctuations

罕见波动的响应测量

• 发表时间: 2012
• 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
• 作者: Shin

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
• 作者: Takahiro Nemoto;Shin
• 通讯作者: Shin