报告题目：Long-Range Order in Disordered Systems: A General Framework
时 间：2026年10月12日（星期一）15:00
地 点：科研楼18号楼1102
主 办：数学与统计学院
参加对象：概率统计系及其他感兴趣的师生
报告摘要：We develop a generalized Ding-Zhuang framework for long-range order in a broad class of disordered lattice systems by combining contour methods with local symmetry operations. The framework requires a deterministic Peierls cost for interfaces and a local symmetry relating competing ground states while appropriately transforming the disorder configurations. In dimensions three and higher, at sufficiently low temperatures and for sufficiently weak quenched disorder, we establish the coexistence of multiple Gibbs states and characterize typical configurations through a sea-island picture. The method applies to many systems, including random-field Ising and Potts models, random-bond and hard-core models, and selected continuous-spin systems. If time permits, we will also discuss recent progress on quenched decay of correlations, convergent low-temperature and weak-disorder expansions of thermodynamic quantities for these systems, and stability results for systems with continuous ground-state symmetries.
报告人简介：陈烨嘉，现为中国科学院理论物理研究所博士研究生，导师为周海军教授。目前的主要研究方向为统计物理中的无序系统。