2003/02/07 by Mitsuhiro Kawasaki, Kawasaki, Mitsuhiro, S.‐I. Itoh +5
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Statistical Mechanics and Entropy #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.physics/0302021
15 pages, 9 figures
arxiv created 2003/02/07 · openalex publication_date 2003/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Subcritical transition of an inhomogeneous plasma where turbulences with different characteristic space-time scales coexist is analyzed with methods of statistical physics of turbulences. We derived the development equations of the probability density function (PDF) of the spectrum amplitudes of the fluctuating electro-static potential. By numerically solving the equations, the steady state PDFs were obtained. Although the subcritical transition is observed when the turbulent fluctuations are ignored, the PDF shows that the transition is smeared out by the turbulent fluctuations. It means that the approximation ignoring the turbulent fluctuations employed by traditional transition theories could overestimate the range where hysteresis is observed and statistical analyses are inevitably needed.