论文标题
修改后的牛顿动力学(蒙迪安)自我磨化系统中的相变
Phase transition in Modified Newtonian Dynamics (MONDian) self-gravitating systems
论文作者
论文摘要
我们研究了三维空间中修饰的牛顿动力学(MOND)的重力相互作用下二元系统的统计力学。考虑到二元系统,在微型典型和规范的集合中,我们表明,在微跨系统中,与牛顿的重力不同,有一个急剧的相变,具有高温均质相和低温汇总的二进制二进制相。在规范系统中定义顺序参数,我们找到了一个平滑的相变,并根据二进制系统的物理参数确定相应的临界温度。
We study the statistical mechanics of binary systems under gravitational interaction of the Modified Newtonian Dynamics (MOND) in three-dimensional space. Considering the binary systems, in the microcanonical and canonical ensembles, we show that in the microcanonical systems, unlike the Newtonian gravity, there is a sharp phase transition, with a high-temperature homogeneous phase and a low temperature clumped binary one. Defining an order parameter in the canonical systems, we find a smoother phase transition and identify the corresponding critical temperature in terms of physical parameters of the binary system.