A new analytic solution for 2nd-order Fermi acceleration

被引:10
作者
Mertsch, Philipp [1 ]
机构
[1] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
来源
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2011年 / 12期
关键词
particle acceleration; cosmic ray theory; STOCHASTIC PARTICLE-ACCELERATION; COSMIC-RAY TRANSPORT; ELECTRON ACCELERATION; CHARGED PARTICLES; BLACK-HOLE; EMISSION; EVOLUTION; WAVES; REACCELERATION; TURBULENCE;
D O I
10.1088/1475-7516/2011/12/010
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A new analytic solution for 2nd-order Fermi acceleration is presented. In particular, we consider time-dependent rates for stochastic acceleration, diffusive and convective escape as well as a diabatic losses. The power law index q of the turbulence spectrum is unconstrained and can therefore account for Kolmogorov (q - 5/3) and Kraichnan (q - 3/2) turbulence, Bohm diffusion (q = 1) as well as the hard-sphere approximation (q = 2). This considerably improves beyond solutions known to date and will prove a useful tool for more realistic modelling of 2nd-order Fermi acceleration in a variety of astrophysical environments.
引用
收藏
页数:14
相关论文
共 50 条
  • [31] Order-disorder structural transition of Nd2(Zr1-xCex)2O7 pyrochlores prepared by auto-combustion method
    Tang, Yijie
    Wang, Jin
    Wang, Junxia
    Wang, Yan
    Li, Xusheng
    CERAMICS INTERNATIONAL, 2023, 49 (10) : 16486 - 16493
  • [32] Lasing effects in new Nd3+-doped TeO2-Nb2O5-WO3 bulk glasses
    Carreaud, J.
    Labruyere, A.
    Dardar, H.
    Moisy, F.
    Duclere, J. -R.
    Couderc, V.
    Bertrand, A.
    Dutreilh-Colas, M.
    Delaizir, G.
    Hayakawa, T.
    Crunteanu, A.
    Thomas, P.
    OPTICAL MATERIALS, 2015, 47 : 99 - 107
  • [33] Local structure and phase composition of Neodymium-Zircon solid solution (Nd x Zr 1-x SiO 4-x/2 )
    Kumar, Y.
    Tripathi, S.
    Nand, Mangla
    Sagdeo, A.
    Jangir, R.
    Urkude, R.
    Sengupta, P.
    Jha, S. N.
    Arya, A.
    JOURNAL OF SOLID STATE CHEMISTRY, 2024, 336
  • [34] Effect of Zn on the Mechanical Properties and Microstructure of as-Cast and Solution-Treated Mg-6Y-2Nd-1Gd-0.5Zr Alloys
    Tao, J. Q.
    Huang, S. H.
    Zhao, G. Z.
    Huang, Z. W.
    Wu, Y.
    Wan, Y. Y.
    Li, M.
    STRENGTH OF MATERIALS, 2019, 51 (04) : 609 - 615
  • [35] New degradation mechanism of Ti/IrO2 + MnO2 anode for oxygen evolution in 0.5 M H2SO4 solution
    Ye, Zhi-Guo
    Meng, Hui-Min
    Sun, Dong-Bai
    ELECTROCHIMICA ACTA, 2008, 53 (18) : 5639 - 5643
  • [36] Effect of Nd2O3 Concentration on Crystallization Mechanism and Third-Order Optical Nonlinearity of Lanthanide-Titanium-Tellurite Glass and Glass-Ceramics
    Patra, Pritha
    Gangareddy, Jagannath
    Soma, Venugopal Rao
    Biswas, Kaushik
    Kalyandurg, Annapurna
    CRYSTAL GROWTH & DESIGN, 2024, 24 (12) : 5039 - 5050
  • [37] New double line architecture produced by fs laser irradiation in Nd3+ doped TeO2-ZnO glass for photonic applications
    Magalhaes, Evellyn Santos
    Wetter, Niklaus Ursus
    Pires Kassab, Luciana Reyes
    da Silva Bordon, Camila Dias
    de Rossi, Wagner
    2021 SBFOTON INTERNATIONAL OPTICS AND PHOTONICS CONFERENCE (SBFOTON IOPC), 2021,
  • [38] New Type of Draft Tube Spout-Fluid Bed. Part 2: Modeling and Design of the Acceleration Section of the Riser for the Pneumatic Transport of 1 mm Glass Spheres
    Littman, Howard
    Paccione, John D.
    INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2015, 54 (23) : 6187 - 6198
  • [39] New Insight into Phase Formation of MxMg2Al4+xSi5-xO18:Eu2+ Solid Solution Phosphors and Its Luminescence Properties
    Zhou, Jun
    Xia, Zhiguo
    Chen, Mingyue
    Molokeev, Maxim S.
    Liu, Quanlin
    SCIENTIFIC REPORTS, 2015, 5
  • [40] The 2nd to 4th century explosive activity of Vesuvius: new data on the timing of the upward migration of the post-AD 79 magma chamber
    Cioni, Raffaello
    D'Oriano, Claudia
    Bertagnini, Antonella
    Andronico, Daniele
    ANNALS OF GEOPHYSICS, 2013, 56 (04)