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IEVref:121-14-09ID:
Language:enStatus: Standard
Term: Alfvén wave velocity
Synonym1: Alfvén velocity
Synonym2:
Synonym3:
Symbol: v A MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamODamaaBa aaleaacaGGbbaabeaaaaa@37C3@
Definition: propagation velocity of Alfvén waves

v A =B/ ρμ 0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaaiaabmqaamaabaabaaGcbaGaaCODamaaBa aaleaacaGGbbaabeaakiabg2da9iaahkeacaGGVaWaaOaaaeaacqaH bpGCcqaH8oqBdaWgbaWcbaGaaGimaaqabaaabeaaaaa@3EC2@

where

B is the magnetic flux density

ρ is the mass density

μ0 is the magnetic constant

Note 1 to entry: The phase velocity of Alfvén waves is

c φ = c 0 v A ( c 0 2 + v A 2 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaam4yamaaBa aaleaacqaHvpGzaeqaaOGaeyypa0ZaaSaaaeaacaWGJbWaa0baaSqa aiaaicdaaeaaaaGccaWG2bWaa0baaSqaaiaadgeaaeaaaaaakeaada GcaaqaamaabmaabaGaam4yamaaDaaaleaacaaIWaaabaGaaGOmaaaa kiabgUcaRiaadAhadaqhaaWcbaGaamyqaaqaaiaaikdaaaaakiaawI cacaGLPaaaaSqabaaaaaaa@4573@

where

v A MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamODamaaBa aaleaacaGGbbaabeaaaaa@37C3@ is the Alfvén wave velocity

c0 is the speed of light in vacuum.

The Alfvén wave velocity does not depend on the wavelength, so it shows no dispersion.

Note 2 to entry: The coherent SI unit of the Alfvén wave velocity is metre per second, m/s.


Publication date:2021-03
Source:ISO 80000-11:2019, item 11–8.4, Remarks
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