Ice model and eight-vertex model on the two-dimensional Sierpinski gasket

• 作 者: Shu-Chiuan Chang Lung-Chi Chen Hsin-Yun Lee
• 机 构: DepartmentofPhysics,NationalChengKungUniversity,Tainan70101,Taiwan;PhysicsDivision,NationalCenterfor
• 出 处: 第二届全国统计物理与复杂系统学术会议暨第七届海峡两岸统计物理研讨会
• 发表日期: 2013年7期
• 关键词: Ice model Eight-vertex model Sierpinski gasket Recursion relations Entropy

　　We present the number of ice model configurations (with Boltzmann factors equal to one) I(n) on the two-dimensional Sierpinski gasket SG(n) at stage n.The upper and lower bounds for the entropy per site, defined as 1im v→∞ V ln I(n)/v where v is the number of vertices on SG(n), are derived in terms of the results at a certain stage.