Analytical probability solution and phase transition of a two-dimensional few-body adiabatic piston system

作者：Li HH^*; Cao ZJ; He DH; Hu G

来源：EPL, 2004, 67(3): 335-341.

DOI：10.1209/epl/i2004-10083-y

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.

• 出版日期2004-8
• 单位北京师范大学