Comparison between Monte Carlo and analytical calculation of Clausing functions of cylindrical and conical tubes

被引:10
作者
Lobo, PJ
Becheri, F
Gómez-Goñi, J
机构
[1] Univ Politecn Madrid, Dept Fis Aplicada Tecnol Informat, EUIT Telecomun, E-28031 Madrid, Spain
[2] Univ Politecn Madrid, Dpto Sistemas Elect & Control, EUIT Telecomun, E-28031 Madrid, Spain
关键词
Monte Carlo; computer simulation; transmission probability; conductance calculation;
D O I
10.1016/j.vacuum.2004.05.013
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In a previous work (J. Vac. Sci. Technol. A 21 (2003) 1452), we calculated the transmission probabilities for cylindrical and conical ducts, solving numerically the Clausing integral equation and integrating the resulting Clausing function. It is also important to obtain the Clausing function itself, because it is proportional to the distribution of molecular collisions with the walls of the system, as we show in this contribution. Besides, the density profile of the gas inside the duct can be calculated using the Clausing function, as shown by Davies and Lucas (J. Phys. D: Appl. Phys. 16 (1983) 1). We have calculated the Clausing functions for different cylindrical and conical ducts using a Monte Carlo simulation method and we have compared these results to the numerical ones, finding a very good agreement, within statistical uncertainties. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:83 / 88
页数:6
相关论文
共 11 条
[1]   The beam shaping in the molecular flow. [J].
Clausing, P. .
ZEITSCHRIFT FUR PHYSIK, 1930, 66 (7-8) :471-476
[2]   FLOW OF HIGHLY RAREFIED GASES THROUGH TUBES OF ARBITRARY LENGTH [J].
CLAUSING, P .
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY, 1971, 8 (05) :636-&
[3]   THE FAILURE OF THEORY TO PREDICT THE DENSITY DISTRIBUTION OF GAS FLOWING THROUGH A TUBE UNDER FREE MOLECULAR CONDITIONS [J].
DAVIES, CM ;
LUCAS, CB .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1983, 16 (01) :1-16
[4]   CHEBYSHEV SOLUTION OF DIFFERENTIAL, INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS [J].
ELGENDI, SE .
COMPUTER JOURNAL, 1969, 12 (03) :282-&
[5]   Comparison between Monte Carlo and analytical calculation of the conductance of cylindrical and conical tubes [J].
Gómez-Goñi, J ;
Lobo, PJ .
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY A, 2003, 21 (04) :1452-1457
[6]   Preliminary Monte Carlo calculation of the conductance of the aperture of a pressure calibration system in the UHV range [J].
Gómez-Goñi, J ;
Lobo, PJ ;
Sánchez, JA ;
Cereceda, N ;
Matilla, MC .
VACUUM, 2002, 67 (3-4) :321-326
[7]   APPLICATIONS OF AN APPROXIMATION TO MOLECULAR FLOW IN CYLINDRICAL TUBES [J].
HELMER, JC .
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY, 1967, 4 (04) :179-&
[8]   EFFUSION OF GASES THROUGH CONICAL ORIFICES [J].
ICZKOWSKI, RP ;
MARGRAVE, JL ;
ROBINSON, SM .
JOURNAL OF PHYSICAL CHEMISTRY, 1963, 67 (02) :229-&
[9]  
Matsumoto M., 1998, ACM Transactions on Modeling and Computer Simulation, V8, P3, DOI 10.1145/272991.272995
[10]  
Neudachin I. G., 1972, Soviet Physics - Technical Physics, V17, P848