Interacting Ehrenfest urns connected in a ring

• Main Authors: Zheng,Hao-Quan, 鄭皓銓
• Other Authors: Cheng,Chi-Ho
• Format: Others
• Language: zh-TW
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/349ksz

碩士 === 國立彰化師範大學 === 物理學系 === 107 === Based on previous Ehrenfest urn model with interaction,we generalize from two urns to three urns.Three urns are connected in a ring, and particles in the same urn interact with each other. There are two kinds of transition probability between two urns. One is clockwise and the other is counterclockwise. When the transition probability in each direction is 0.5, the equilibrium state can be found. In general the transition probability is not equal to 0.5,the system is in a non-equilibrium state which can be classified into four cases with different interaction and transition probability.The first case is that particle number in three urns are equal.The second case is that particle number are not equal.The third case is that the above two cases exist.The last case is that the numbers are time varying,so there is no steady state.