Ehrenfest model with interaction

• Main Authors: Tseng,Chun-Hsiung, 曾俊雄
• Other Authors: Cheng, Chi-Ho
• Format: Others
• Language: zh-TW
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/w565p5

碩士 === 國立彰化師範大學 === 物理學系 === 105 === The traditional Ehrenfest’s urn model is modified by introducing the interaction between particles. Depending on the nature of the interaction, the system could undergo the phase transition. We calculate the Poincare cycle which is the average time for the system returning to its initial state. When the phase transition occurs, the equilibrium state becomes the most far-from-equilibrium state and vice versa. In addition, the relaxation time to the equilibrium state from the most far-from-equilibrium is also calculated. The relaxation time is found to be proportional to the number of particles, and it becomes larger near the transition point.