報告題目：Finite-size Scaling of Critical N-vector Models in High Dimensions

報告人：鄧友金 教授

主持人：劉宗華 教授

時間：10月23日（周五）上午10:00

地點：閔行校區(qū)物理樓226報告廳

報告人簡介：    

  鄧友金，中國科學(xué)技術(shù)大學(xué)教授。北京師范大學(xué)學(xué)士和碩士，荷蘭代爾夫特技術(shù)大學(xué)博士。曾在美國紐約大學(xué)做博士后及德國海德堡大學(xué)做洪堡學(xué)者。研究方向包括計算物理、統(tǒng)計物理及量子模擬理論。獲得科學(xué)院“百人計劃”及基金委“國家杰出青年”等基金支持，及中科大“困學(xué)守望之杰出教學(xué)獎”及“青年教師基本功競賽一等獎”等表彰。發(fā)表期刊論文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)等權(quán)威物理期刊30余篇。

報告摘要：

  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.