(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled)Examples




IEVref:521-01-05ID:
Language:enStatus: Standard
Term: Maxwell-Boltzmann velocity-distribution law
Synonym1:
Synonym2:
Synonym3:
Symbol:
Definition: algebraic equation giving the number dN of particles of a non-quantized system, the components of velocity of which are comprised in the intervals (u, u + du), (v, v + dv), (w, w + dw) respectively:

dN=Aexp[ m( u 2 + v 2 + w 2 ) 2kT ]dudvdw MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaabsgacaWGobGaeyypa0JaamyqaiabgwSixlaabwgacaqG4bGaaeiCamaadmaabaWaaSaaaeaacqGHsislcaWGTbWaaeWaaeaacaWG1bWaaWbaaSqabeaacaaIYaaaaOGaey4kaSIaamODamaaCaaaleqabaGaaGOmaaaakiabgUcaRiaadEhadaahaaWcbeqaaiaaikdaaaaakiaawIcacaGLPaaaaeaacaaIYaGaam4AaiaadsfaaaaacaGLBbGaayzxaaGaaeizaiaaykW7caWG1bGaeyyXICTaaeizaiaaykW7caWG2bGaeyyXICTaaeizaiaaykW7caWG3baaaa@5C4B@

where

A=N [ m ( 2πkT ) ] 3/2 MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadgeacqGH9aqpcaWGobWaamWaaeaadaWcaaqaaiaad2gaaeaadaqadaqaaiaaikdacqaHapaCcqGHflY1caWGRbGaamivaaGaayjkaiaawMcaaaaaaiaawUfacaGLDbaadaahaaWcbeqaamaalyaabaGaaG4maaqaaiaaikdaaaaaaaaa@44B1@

N is the total number of particles
m is the mass of a particle
T is the thermodynamic temperature
k is the Boltzmann constant

NOTE – dN/N represents the probability that a particle has its components of velocity within the intervals considered.


Publication date:2002-05
Source:
Replaces:
Internal notes:2017-06-02: Cleanup - Remove Attached Image 521-01-051.gif

2017-06-02: Cleanup - Remove Attached Image 521-01-052.gif
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: