2010/09/30 by Takahiro Nemoto, Shin‐ichi Sasa, Shin-ichi Sasa
Mathematics · Physics and Astronomy · #Additive function #Advanced Thermodynamics and Statistical Mechanics #Basis (linear algebra) #Brownian motion #Cumulant #Current (fluid) #Dissipation #Energy (signal processing) #Mathematical analysis #Mathematics #Order (exchange) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Statistical fluctuations #Statistical physics #Statistics #Term (time) #Thermodynamics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.83.030105
published as Phys. Rev. E 83, 030105(R) (2011) · 4 pages, 1 figure; In ver. 2, the organization of the paper has been revised. In ver. 3, substantial revisions have been done
arxiv created 2010/12/10 · openalex publication_date 2011/03/25 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.