Analytical probability solution and phase transition of a two-dimensional few-body adiabatic piston system
Analytical probability solution and phase transition of a two-dimensional few-body adiabatic piston system
复制标题
二维少体绝热活塞系统的解析概率解和相变
DOI：
10.1209/epl/i2004-10083-y
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
G. Hu
中科院分区：
文献类型：
--
作者：
Haihong Li;Zhoujian Cao;Dahai He;G. Hu
在统计平衡状态下，解析计算了二维箱中少体“绝热活塞”系统的空间概率分布，得到了活塞概率分布的显式解。理论预测与数值观测结果的一致性证明了系统微正则平衡态的实现。一个有趣的转变，从单峰概率分布阶段的多峰分布阶段的解析预测，并充分证实了数值模拟。这种相变可以被看作是少体相变的一个基本原型。
The spatial probability distribution of a few-body "adiabatic piston" system in a two-dimensional box is analytically computed in statistical equilibrium state, and the explicit solution of the probability distribution of the piston is obtained. The realization of the microcanonical equilibrium state of the system is justified by the agreement between the theoretical predictions and numerical observations. An interesting transition from unimodal probability distribution phase to a multi-peak distribution phase is analytically predicted, and fully confirmed by numerical simulations. This transition can be regarded as one of the primary prototypes of few-body phase transitions.