论文标题
Tsallis宇宙学及其在暗物质物理学中的应用，重点是IceCube高能中微子数据
Tsallis cosmology and its applications in dark matter physics with focus on IceCube high-energy neutrino data
论文作者
论文摘要
在本文中，我们采用了最新的tsallis提案，并就广泛但非添加的熵提出了引诱系统的热力学的第一定律。我们特别关注热量一型的整合因子，并表明与传统的热力学相比，它将其分配到热和熵部分中。热力学的第一定律意味着tsallis宇宙学，随后用来解决在暗物质遗物丰度上绑定的电流和有关高能中微子的ICECUBE数据之间观察到的差异。为了解决这一矛盾，我们将标准模型和暗物质颗粒之间的传统最小Yukawa型相互作用保持，但用基于Tsallis-Cosomology的改良Friedmann方程代替了通常的Friedmann场方程。我们表明，当tsallis缩放指数$δ\ sim 1.57 $（或同等地，全息缩放指数$α\ sim 3.13 $）消失。
In this paper we employ a recent proposal of C. Tsallis and formulate the first law of thermodynamics for gravitating systems in terms of the extensive but non-additive entropy. We pay a particular attention to an integrating factor for the heat one-form and show that in contrast to conventional thermodynamics it factorizes into thermal and entropic part. Ensuing first law of thermodynamics implies Tsallis cosmology, which is then subsequently used to address the observed discrepancy between current bound on the Dark Matter relic abundance and present IceCube data on high-energy neutrinos. To resolve this contradiction we keep the conventional minimal Yukawa-type interaction between standard model and Dark Matter particles but replace the usual Friedmann field equations with Tsallis-cosmology-based modified Friedmann equations. We show that when the Tsallis scaling exponent $δ\sim 1.57$ (or equivalently, the holographic scaling exponent $α\sim 3.13$) the aforementioned discrepancy disappears.
