期刊
PHYSICAL REVIEW LETTERS
卷 103, 期 19, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.103.190201
关键词
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资金
- Israel Science Foundation
- Israel Academy of Sciences and Humanities
We derive backward and forward fractional Feynman-Kac equations for the distribution of functionals of the path of a particle undergoing anomalous diffusion. Fractional substantial derivatives introduced by Friedrich and co-workers [Phys. Rev. Lett. 96, 230601 (2006)] provide the correct fractional framework for the problem. For applications, we calculate the distribution of occupation times in half space and show how the statistics of anomalous functionals is related to weak ergodicity breaking.
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