Collision statistics of clusters： from Poisson model to Poisson mixtures
作者： Sascha Vongehr , Tang Shao-Chun , Meng Xiang-Kang
DOI: 10.1088/1674-1056/19/2/023602
关键词: Compound Poisson distribution 、 Poisson regression 、 Compound Poisson process 、 Statistical physics 、 Poisson distribution 、 Poisson binomial distribution 、 Physics 、 Zero-inflated model 、 Fractional Poisson process 、 Statistics 、 Index of dispersion
摘要: Clusters traverse a gas and collide with particles. The particles are absorbed, the clusters become hosts. If size-selected, number of guests will be Poisson distributed. We review this by showcasing four laboratory procedures that all rely on validity model. effects statistical distribution clusters' sizes in beam discussed. derive average collision rates. Additionally, we present mixture models also involve standard deviations. statistics for common size distributions hosts some generalizations thereof. can applied to large noble traversing doping gas. While outlining how fit generalized statistics, still find even these often insufficient.
harvard.edu
sci-hub.se 参考文章(22)
K. Berkling, R. Helbing, K. Kramer, H. Pauly, Ch. Schlier, P. Toschek, Effektive Stoßquerschnitte bei Streuversuchen European Physical Journal. ,vol. 166, pp. 406- 428 ,(1962) , 10.1007/BF01384175
Max-Planck-Institut für Strömungsforschung, Max-Planck-Institut für Strömungsforschung Göttingen, 1925-1975 : Festschrift zum 50jährigen Bestehen des Instituts [MPI für Strömungsforschungas Göttingen]. ,(1975)
Chun-Ru Wang, Rong-Bin Huang, Zhao-Yang Liu, Lan-Sun Zheng, LOGNORMAL SIZE DISTRIBUTIONS OF ELEMENTAL CLUSTERS Chemical Physics Letters. ,vol. 227, pp. 103- 108 ,(1994) , 10.1016/0009-2614(94)00790-X
M. Villarica, M. J. Casey, J. Goodisman, J. Chaiken, Application of fractals and kinetic equations to cluster formation Journal of Chemical Physics. ,vol. 98, pp. 4610- 4625 ,(1993) , 10.1063/1.464989
Shengfu Yang, Scott M. Brereton, Andrew M. Ellis, Controlled growth of helium nanodroplets from a pulsed source Review of Scientific Instruments. ,vol. 76, pp. 104102- ,(2005) , 10.1063/1.2093766
Toshihiko Kawamura, Kosei Iwase, Characterizations of the Distributions of Power Inverse Gaussian and Others Based on the Entropy Maximization Principle JOURNAL OF THE JAPAN STATISTICAL SOCIETY. ,vol. 33, pp. 95- 104 ,(2003) , 10.14490/JJSS.33.95
H.S. Sichel, Anatomy of the generalized inverse Gaussian-Poisson distribution with special applications to bibliometric studies Information Processing and Management. ,vol. 28, pp. 5- 17 ,(1992) , 10.1016/0306-4573(92)90088-H
J. Peter Toennies, Andrey F. Vilesov, Superfluid Helium Droplets: A Uniquely Cold Nanomatrix for Molecules and Molecular Complexes Angewandte Chemie International Edition. ,vol. 43, pp. 2622- 2648 ,(2004) , 10.1002/ANIE.200300611
P. C. Consul, M. M. Shoukri, The generalized poisson distribution when the sample mean is larger than the sample variance Communications in Statistics - Simulation and Computation. ,vol. 14, pp. 667- 681 ,(1985) , 10.1080/03610918508812463
Sascha Vongehr, Vitaly V. Kresin, Unusual pickup statistics of high-spin alkali agglomerates on helium nanodroplets The Journal of Chemical Physics. ,vol. 119, pp. 11124- 11129 ,(2003) , 10.1063/1.1622930