A Formal View on Level 2.5 Large Deviations and Fluctuation Relations
A Formal View on Level 2.5 Large Deviations and Fluctuation Relations
复制标题
2.5级大偏差和波动关系的形式化观点
DOI：
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发表时间：
2015
影响因子：
1.6
通讯作者：
R. Chetrite
中科院分区：
文献类型：
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作者：
A. C. Barato;R. Chetrite
我们得到的纯跳跃和扩散过程的大偏差水平2.5的速率函数。这一结果是证明了两种方法：倾斜，其中一个倾斜的过程与适当的典型行为被认为是，和频谱方法，其中使用的标度累积量生成函数。我们还简要地讨论了涨落关系，指出它们与2.5级大偏差的联系。
We obtain the rate function for the level 2.5 of large deviations for pure jump and diffusion processes. This result is proved by two methods: tilting, for which a tilted process with an appropriate typical behavior is considered, and a spectral method, for which the scaled cumulant generating function is used. We also briefly discuss fluctuation relations, pointing out their connection with large deviations at the level 2.5.