Coulomb Õ“Ë‚Æ Spitzer ’ïR


“üŽË—±Žq‚Ì“d‰×‚ÆŽ¿—Ê‚ð‚»‚ê‚¼‚ê‚y1‚…A‚1A•W“I—±Žq‚ð‚y2‚…A‚2‚Æ‚·‚éB Š·ŽZŽ¿—Ê‚Í
ƒÊ = ‚1‚2/(‚1 + ‚2)
“üŽË‘¬“x‚ð‚–AÕ“˃pƒ‰ƒ[ƒ^‚ð‚‚‚Æ‚·‚é‚ƁAŽU—ŠpƒÆ‚ɑ΂µ‚Ä
‚‚ = ‚y1‚y2‚…2/4ƒÎƒÃ0ƒÊ‚–2 cot(ƒÆ/2)
ŽU—‚Ì—§‘ÌŠp‚ðƒ¶‚Æ‚·‚é‚Æ‚«A”÷•ª’f–ʐςÍ
‚„ƒÐ/‚„ƒ¶ = (‚y1‚y2‚…2/8ƒÎƒÃ0ƒÊ‚–2)2 1/sin4(ƒÆ/2)
‚±‚ꂪ Rutherford ‚ÌŒöŽ®‚Å‚ ‚éB

‰^“®—Ê—A‘—‚Ì’f–ʐςÍ

ƒÐ = ç(1 - cosƒÆ)‚„ƒÐ/‚„ƒ¶ ‚„ƒ¶ = 4ƒÎ(‚y1‚y2‚…2/4ƒÎƒÃ0ƒÊ‚–2)2 ln (1/sin(ƒÆmin/2))
‚±‚ê‚̓Æmin--> 0 ‚Ì‹ÉŒÀ‚Å”­ŽU‚µ‚Ä‚µ‚Ü‚¤B

ƒvƒ‰ƒYƒ}’†‚Å‚Í“dŽq‚É‚æ‚邵‚á‚Ö‚¢Œø‰Ê‚É‚æ‚èA‚‚max = ƒÉD‚ƍl‚¦‚邱‚Æ‚ª‚Å‚«‚éB ‚±‚Ì‚Æ‚«

ƒÐ = 4ƒÎ(‚y1‚y2‚…2/4ƒÎƒÃ0ƒÊ‚–2)2 ln (9‚mD)
‚Æ‚È‚éB ‚±‚̑ΐ”‚Í Coulomb ‘ΐ” ln ƒ©‚Æ‚æ‚΂ê‚éB

“dŽq‚ƃCƒIƒ“‚̏Փ˂ɑ΂µ‚ẮA‚y1 = -1A‚y2 = ‚yAƒÊ = ‚eA‚– = ve‚Æ‚µ‚ďՓ˂̒f–ʐσÐei‚ª‹‚ß‚ç‚ê‚éB ƒCƒIƒ“‚Ì–§“x‚ð‚Ži‚Æ‚µ‚āA•½‹ÏŽ©—Rs’ö‚Í

ƒÉei = 1/‚ŽiƒÐei
Õ“Ë•p“x‚Í
ƒËei = ‚ŽiƒÐei‚–e
Õ“ËŽžŠÔ‚Í
ƒÑei = 1/ƒËei
‚Æ‚È‚éB “d‹C’ïR—¦(Spitzer ’ïR)‚Í
ƒÅ = ‚eƒËei/‚Že‚…2
‚Æ‚È‚éB


ŽQl‘

  • ŠÖŒû’‰AˆêŠÛß•vFuƒvƒ‰ƒYƒ}•¨«HŠwvAƒI[ƒ€ŽÐ
  • F.F. ChenF"Introduction to Plasma Physics and Controlled Fusion"APLENUM

‰Û‘è

  • “dŽq‚ƃCƒIƒ“‚̏Փ˕p“xA“d‹C’ïR—¦‚ðŒvŽZ‚·‚鐔’lŒöŽ®‚ð‹‚ß‚È‚³‚¢B
  • ‚¢‚ë‚¢‚ë‚ȃvƒ‰ƒYƒ}‚ɂ‚¢‚āAClulomb ‘ΐ”A“dŽq‚ƃCƒIƒ“‚̏Փ˕p“xA“d‹C’ïR—¦‚ð‹‚ß‚È‚³‚¢B
ƒvƒ‰ƒYƒ} ‚Ž [m-3] ‚se [eV] ln ƒ© ƒËei [s-1] ƒÅ [ƒ¶m]
ƒOƒ[ 1016 1
ƒA[ƒN 1024 1
’†Œ^ƒg[ƒ‰ƒX 1018 100
Šj—Z‡ŽÀŒ± 1020 104
‚yƒsƒ“ƒ` 1025 103
“d—£‘w 1011 10

Email: Keiichi Takasugi