Kinetic theory of polyatomic liquids. I. The generalized moment method

1974 ◽  
Vol 60 (9) ◽  
pp. 3567-3582 ◽  
Author(s):  
Mary Theodosopulu ◽  
John S. Dahler
Keyword(s):  
Kinetic Theory ◽  
Moment Method ◽  
Polyatomic Liquids ◽  
Generalized Moment

Mean-field kinetic theory approach to Langmuir evaporation of polyatomic liquids

2020 ◽  
Vol 32 (9) ◽  
pp. 093314
Author(s):  
Sergiu Busuioc ◽  
Livio Gibelli
Keyword(s):  
Kinetic Theory ◽  
Mean Field ◽  
Theory Approach ◽  
Polyatomic Liquids

A kinetic theory of steady condensation

1970 ◽  
Vol 40 (2) ◽  
pp. 385-400 ◽  
Author(s):  
P. N. Shankar
Keyword(s):  
Growth Rate ◽  
Kinetic Theory ◽  
Closed Form ◽  
Moment Method ◽  
Liquid Droplet ◽  
Distribution Functions ◽  
Inert Gas ◽  
Diffusion Control ◽  
Free Molecule ◽  
Wide Range

This paper pertains to the steady condensation on to, or evaporation from, a liquid droplet suspended in a mixture of its vapour and an inert gas. The treatment is from a kinetic theory viewpoint. The Maxwell moment method is used with Lees’ two stream Maxwellian representations for the distribution functions, to obtain a closed form result valid through the whole range from free molecule to continuum. In the diffusion control limit the formula reduces to approximate results obtained by Maxwell, Fuchs and others. In the limit where no inert gas is present the formula reduces to a result obtained earlier by the author. The formulae presented here for the mass and energy flux can now be used to calculate the growth rate of very small droplets, under a wide range of conditions.

Modeling Copper Prices: Ornstein-Uhlenbeck Process and Jump-Diffusions

2012 ◽  
Vol 461 ◽  
pp. 793-796
Author(s):  
Xi Bing Li ◽  
Yu Xi Hu ◽  
Zhen Zhong Zhang ◽  
Xin Ru Liu
Keyword(s):  
Parameter Estimation ◽  
Moment Method ◽  
Futures Market ◽  
Uhlenbeck Process ◽  
Jump Diffusions ◽  
Ornstein Uhlenbeck Process ◽  
Futures Price ◽  
Generalized Moment

In this paper we focus on parameter estimation of the futures price processes with a Ornstein-Uhlenbeck process and jump-diffusions. We use the generalized moment method to derive the OU process. Afterwards, we fit a jump diffusions model to Copper prices from Shanghai Copper futures market.

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