学术讲座
邓友金: Finite-size Scaling of Critical N-vector Models in High Dimensions
发布时间:2020-10-21   浏览次数:68

报告题目:Finite-size Scaling of Critical N-vector Models in High Dimensions

报告人:邓友金 教授

主持人:刘宗华 教授

时间:10月23日(周五)上午10:00

地点:闵行校区物理楼226报告厅

报告人简介:    

  邓友金,中国科学技术大学教授。北京师范大学学士和硕士,荷兰代尔夫特技术大学博士。曾在美国纽约大学做博士后及德国海德堡大学做洪堡学者。研究方向包括计算物理、统计物理及量子模拟理论。获得科学院“百人计划”及基金委“国家杰出青年”等基金支持,及中科大“困学守望之杰出教学奖”及“青年教师基本功竞赛一等奖”等表彰。发表期刊论文130余篇,包括Science(2篇)、Nature(1篇)及子刊(2篇)、PRX(1篇)、PRL(26篇)、NSR(2篇)等权威物理期刊30余篇。

报告摘要

  Finite-size scaling is a fundamental physical theory in the field of critical phenomena. In spite of decades of studies, the theory of FSS in dimensions at and above the upper critical dimensionality turns out to be surprisingly subtle, and remains the subject of ongoing debate. We establish an explicit scaling form for the free energy density, which simultaneously consists of scaling behaviors corresponding to the Gaussian-fixed point and the complete-graph asymptotic. Our conjectures are strongly supported by large-scale Monte Carlo simulations and analytical calculations for some simplified model. Our work sheds further light on the theory of critical phenomena and has practical applications in experimental systems.