Chavanis Pierre-Henri, Rosier Carole, Sire Clément
Laboratoire de Physique Quantique-UMR CNRS 5626, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2A):036105. doi: 10.1103/PhysRevE.66.036105. Epub 2002 Sep 10.
We study the thermodynamics and the collapse of a self-gravitating gas of Brownian particles. We consider a high-friction limit in order to simplify the problem. This results in the Smoluchowski-Poisson system. Below a critical energy or below a critical temperature, there is no equilibrium state and the system develops a self-similar collapse leading to a finite time singularity. In the microcanonical ensemble, this corresponds to a "gravothermal catastrophe" and in the canonical ensemble to an "isothermal collapse." Self-similar solutions are investigated analytically and numerically.
我们研究了布朗粒子自引力气体的热力学和坍缩。为了简化问题，我们考虑了高摩擦极限。这导致了斯莫卢霍夫斯基 - 泊松系统。在临界能量以下或临界温度以下，不存在平衡态，系统会发生自相似坍缩，导致有限时间奇点。在微正则系综中，这对应于“引力热灾变”，在正则系综中对应于“等温坍缩”。我们对自相似解进行了解析和数值研究。
