Abstract
In cosmic-ray-mediated shocks large amplitude Alfvén waves are believed to be generated by accelerated cosmic ray particles. The enhanced magnetic pressure shared by these waves is non-negligible in the momentum and energy balances across the shock transition region. Accordingly the shock Rankine-Hugoniot condition is further modified, and the compression ratio across the shock departs from the classical values of 4 (nonrelativistic) and 7 (relativistic). We argue that in the 'grand equipartition' limit, namely equipartition among the waves, the background plasma, and the cosmic ray particles, the compression ratio recovers to the value of 4, and the corresponding spectral index of cosmic ray particles also comes back to the canonical value of 2.
| Original language | English |
|---|---|
| Pages (from-to) | 146-149 |
| Number of pages | 4 |
| Journal | Progress of Theoretical Physics Supplement |
| Issue number | 169 |
| DOIs | |
| Publication status | Published - Jan 1 2007 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Cite this
Shock modification by cosmic-ray-excited turbulences. / Terasawa, Toshio; Hada, Tohru; Matsukiyo, Shuichi; Oka, Mitsuo; Bamba, Aya; Yamazaki, Ryo.
In: Progress of Theoretical Physics Supplement, No. 169, 01.01.2007, p. 146-149.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Shock modification by cosmic-ray-excited turbulences
AU - Terasawa, Toshio
AU - Hada, Tohru
AU - Matsukiyo, Shuichi
AU - Oka, Mitsuo
AU - Bamba, Aya
AU - Yamazaki, Ryo
PY - 2007/1/1
Y1 - 2007/1/1
N2 - In cosmic-ray-mediated shocks large amplitude Alfvén waves are believed to be generated by accelerated cosmic ray particles. The enhanced magnetic pressure shared by these waves is non-negligible in the momentum and energy balances across the shock transition region. Accordingly the shock Rankine-Hugoniot condition is further modified, and the compression ratio across the shock departs from the classical values of 4 (nonrelativistic) and 7 (relativistic). We argue that in the 'grand equipartition' limit, namely equipartition among the waves, the background plasma, and the cosmic ray particles, the compression ratio recovers to the value of 4, and the corresponding spectral index of cosmic ray particles also comes back to the canonical value of 2.
AB - In cosmic-ray-mediated shocks large amplitude Alfvén waves are believed to be generated by accelerated cosmic ray particles. The enhanced magnetic pressure shared by these waves is non-negligible in the momentum and energy balances across the shock transition region. Accordingly the shock Rankine-Hugoniot condition is further modified, and the compression ratio across the shock departs from the classical values of 4 (nonrelativistic) and 7 (relativistic). We argue that in the 'grand equipartition' limit, namely equipartition among the waves, the background plasma, and the cosmic ray particles, the compression ratio recovers to the value of 4, and the corresponding spectral index of cosmic ray particles also comes back to the canonical value of 2.
UR - http://www.scopus.com/inward/record.url?scp=41149149830&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41149149830&partnerID=8YFLogxK
U2 - 10.1143/PTPS.169.146
DO - 10.1143/PTPS.169.146
M3 - Article
AN - SCOPUS:41149149830
SP - 146
EP - 149
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
IS - 169
ER -