论文标题
通过音调角散射过程，经典热平衡中的能量颗粒的幂律光谱
Power-law Spectrum of Energetic Particles in Classical Thermal Equilibrium by Pitch-angle Scattering Process
论文作者
论文摘要
讨论了带电颗粒的热力学平衡状态，这些电荷颗粒倾斜的血浆波散射。这些浪潮的自由度在构建宏伟的规范合奏中起着基本作用。通过陀螺仪的条件，快速粒子具有$ \ varepsilon-μ\ ll t $的反向幂律频谱，其中$ \ varepsilon $是粒子能量，$μ$是化学潜力，$ t $是温度。休息能量是其余能量和$ --μ$。对于$ \ varepsilon \ ll-μ\ ll t $，能量频谱指数$α$为$Δ/2+1 $和$δ+1 $和$δ+1 $，分别为非和超偏见的粒子，$Δ$是背景磁场线的有效分形维度。 $-μ\ ll \ varepsilon \ ll t $的光谱索引为$α+1 $。这种热平衡方案，结合了泄漏的框模型和宇宙射线观测，似乎表明银河磁场是超级扩散的，$δ\ \ $δ\约1.4 $。
The Boltzmann-Gibbs thermodynamic equilibrium state of charged particles pitch-angle scattered by weak plasma waves is discussed. Degrees of freedom of these waves play a fundamental role in constructing the grand canonical ensemble. Via the gyro-resonance condition, fast particles have an inverse break power-law spectrum for $ \varepsilon -μ\ll T $, where $ \varepsilon $ is the particle energy, $ μ$ is the chemical potential, $ T $ is the temperature. The break energies are the rest energy and $ -μ$. For $ \varepsilon \ll -μ\ll T $, the energy spectral index $ α$ is $ δ/2+1 $ and $ δ+1 $ for non- and ultra-relativistic particles, respectively, with $ δ$ an effective fractal dimension of background magnetic field lines. The spectral index for $ -μ\ll \varepsilon \ll T $ is $ α+1 $. This thermal equilibrium scenario, combined with the leaky-box model and cosmic-ray observations, seems to suggest that the Galactic magnetic field is super-diffusive with $ δ\approx 1.4 $.
