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Related Experiment Video

Updated: Jul 7, 2026

Optimization of An Air-Based Heat Management System for Dusty Particulate Matter-Covered Lithium-Ion Battery Packs
10:36

Optimization of An Air-Based Heat Management System for Dusty Particulate Matter-Covered Lithium-Ion Battery Packs

Published on: November 3, 2023

Improved estimation of Fokker-Planck equations through optimization.

A P Nawroth1, J Peinke, D Kleinhans

  • 1Institut for Physics, Carl-von-Ossietzky University Oldenburg, D-26111 Oldenburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
PubMed
Summary
This summary is machine-generated.

This study presents an improved Fokker-Planck equation method for complex systems. It accurately estimates drift and diffusion terms using optimization, enhancing turbulent gas jet analysis.

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Last Updated: Jul 7, 2026

Optimization of An Air-Based Heat Management System for Dusty Particulate Matter-Covered Lithium-Ion Battery Packs
10:36

Optimization of An Air-Based Heat Management System for Dusty Particulate Matter-Covered Lithium-Ion Battery Packs

Published on: November 3, 2023

Area of Science:

  • Physics
  • Complex Systems Analysis
  • Computational Mathematics

Background:

  • Hierarchical complex systems require robust descriptive methods.
  • Fokker-Planck equations are valuable for modeling such systems.
  • Accurate estimation of drift and diffusion terms is crucial for model validity.

Purpose of the Study:

  • To present an improved method for describing hierarchical complex systems using Fokker-Planck equations.
  • To enhance the estimation of drift and diffusion terms within these equations.
  • To demonstrate the method's efficacy on real-world turbulent flow data.

Main Methods:

  • Utilized a Fokker-Planck equation framework for system description.
  • Employed the limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS-B) algorithm for optimization.
  • Minimized the discrepancy between numerical solutions and empirical probability density functions.

Main Results:

  • Successfully estimated drift and diffusion terms of the Fokker-Planck equation.
  • Applied the optimization routine to velocity measurements from a turbulent helium gas jet.
  • Quantified the improvements offered by the enhanced optimization routine.

Conclusions:

  • The presented method offers an improved approach to modeling hierarchical complex systems.
  • The L-BFGS-B algorithm effectively refines Fokker-Planck equation parameters.
  • The technique shows significant benefits for analyzing turbulent systems.