Skewed superstatistical distributions from a Langevin and Fokker-Planck approach

• 来源期刊: 科学通报(英文版)
• 学科: 地球科学
• 年，卷（期）: 2011,（34）
• 页码范围: 3633-3638
• 页数: 6页
• 分类号: N941.4
• 语种: 中文

摘要

The superstatistics concept is a useful statistical method to describe inhomogeneous complex systems for which a system parameter βfluctuatesonalargespatio-temporal scale. Inthispaper weanalyze ameasuredtimeseriesofwindspeed fluctuationsandextract the superstatistical distribution function f(β) directly from the data. We construct suitable Langevin and Fokker-Planck models with a position dependent β-field and show that they reduce to standard type of superstatistics in the overdamped limit.