标题： 一维自引力系统的热弛豫 显示英文标题

标题： Thermal Relaxation in One-Dimensional Self-Gravitating Systems

摘要： 在本文中，我们研究一维自引力系统中的热弛豫，或称为片模型。 根据标准论述，系统的热弛豫时间约为$Nt_c$，其中$N$是片的数量，$t_c$是交叉时间。 有人声称，在这个热弛豫时间尺度上系统不会达到热平衡，并且系统需要更长时间才能达到真正的热平衡。 我们证明这种行为仅仅是由于弛豫时间较长。 具有平均结合能的片的弛豫时间为$\sim 20 Nt_c$，而高能片的弛豫时间可能超过$1000 Nt_c$。 因此，如果想要观察这些高能片的热特性，则需要对高能片的弛豫时间尺度取平均。 显示英文摘要

摘要： In this paper, we study the thermal relaxation in the one-dimensional self-gravitating system, or the so-called sheet model. According to the standard argument, the thermal relaxation time of the system is around $Nt_c$, where $N$ is the number of sheets and $t_c$ is the crossing time. It has been claimed that the system does not reach the thermal equilibrium in this thermal relaxation timescale, and that it takes much longer time for the system to reach true thermal equilibrium. We demonstrate that this behavior is explained simply by the fact that the relaxation time is long. The relaxation time of sheets with average binding energy is $\sim 20 Nt_c$, and that of sheets with high energy can exceed $1000 Nt_c$. Thus, one needs to take the average over the relaxation timescale of high-energy sheets, if one wants to look at the thermal characteristic of these high energy sheets.