Journal
PHYSICAL REVIEW E
Volume 83, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.030105
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Funding
- Ministry of Education, Culture, Sports, Science, and Technology of Japan [21015005, 22340109]
- Grants-in-Aid for Scientific Research [21015005, 22340109] Funding Source: KAKEN
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For Brownian motion of a single-particle subject to a tilted periodic potential on a ring, we propose a formula for experimentally determining the cumulant generating function of time-averaged current without measurements of current fluctuations. We first derive this formula phenomenologically on the basis of two key relations: a fluctuation relation associated with Onsager's principle of the least-energy dissipation in a sufficiently local region and an additivity relation by which spatially inhomogeneous fluctuations can be properly considered. We then derive the formula without any phenomenological assumptions. We also demonstrate its practical advantage by numerical experiments.
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