On the Generalized Theory of Atmospheric Particle Systems

Liu Yangang

doi:10.1007/BF02657003

Impact Factor: 5.8

Volume 12 Issue 4

Oct. 1995

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1995 > 12(4): 419-438

On the Generalized Theory of Atmospheric Particle Systems

Liu Yangang

1.
Desert Research Institute, Atmospheric Sciences Center, Reno, Nevada 89506-0220, USA

Liu Yangang

doi: 10.1007/BF02657003

Abstract
References
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Abstract:
Unification is both necessary and challenging for studying atmospheric particle systems, which are polydisperse systems containing particles of different sizes and shapes. A general framework is proposed to realize the first order generalization. Within this generalized framework, (1) atmospheric particle shapes are unified into self-similar fractals; (2) a self-similar particle is characterized by various power-law relationships; (3) by combining these power-law relationships for a single particle with Shannon’s maximum entropy principle and some concepts in statis-tical mechanics, unified maximum likelihoood number size distributions are of the Weibull form for atmospheric particle systems. Frontier disciplines (e. g., scaling, fractal, chaos and hierarchy) are argued to provide potential “tools” for such unification. Several new topics are raised for future research.
- Unification,
- Self-similarity,
- Power-law relationships,
- Fractals,
- Shannon’s entropy. Maximum likelihood distribution
References

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Manuscript History

Manuscript received: 10 October 1995

Manuscript revised: 10 October 1995

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

On the Generalized Theory of Atmospheric Particle Systems

Liu Yangang

1. Desert Research Institute, Atmospheric Sciences Center, Reno, Nevada 89506-0220, USA

Manuscript received: 1995-10-10
Manuscript revised: 1995-10-10

Abstract: Unification is both necessary and challenging for studying atmospheric particle systems, which are polydisperse systems containing particles of different sizes and shapes. A general framework is proposed to realize the first order generalization. Within this generalized framework, (1) atmospheric particle shapes are unified into self-similar fractals; (2) a self-similar particle is characterized by various power-law relationships; (3) by combining these power-law relationships for a single particle with Shannon’s maximum entropy principle and some concepts in statis-tical mechanics, unified maximum likelihoood number size distributions are of the Weibull form for atmospheric particle systems. Frontier disciplines (e. g., scaling, fractal, chaos and hierarchy) are argued to provide potential “tools” for such unification. Several new topics are raised for future research.

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