报告题目：The route of random process to ultraslow aging phenomena

报 告 人：刘海文教授 北京师范大学

邀 请 人：王健教授

报告时间：4月29日（周二）下午14:30至15:30

报告形式：腾讯会议，

会议链接: https://work.weixin.qq.com/webapp/tm/hVKnfR2FMD1f5ESdZFfmsf#

会议号: 409-753-343

报告内容简介：

Logarithmic aging  phenomena, characterized by ultraslow dynamics, are prevalent in diverse  nonequilibrium systems, from electronic materials to biological  structures. This study investigates the microscopic origins and  implications of these phenomena through a generalized continuous-time  random walk framework that incorporates non-Markovian processes with  significant memory effects [1]. By modifying traditional diffusion  models, we reproduce the hallmark logarithmic decay observed in survival  and return probabilities. Furthermore, we examine how aging affects  autocorrelation functions, revealing the profound influence of long-term  memory on the temporal evolution of physical observables. Crucially,  our analysis identifies rare events as the primary drivers of ergodicity  breaking, causing divergence between time-averaged and  ensemble-averaged measurements due to exceedingly long waiting times  [2]. These findings effectively bridge microscopic dynamics and  macroscopic observations, offering deeper insights into ultraslow  dynamics, ergodicity breaking, and aging effects in complex disordered  systems, and thus opening new avenues for analyzing nonequilibrium  processes, including notable phenomena such as quantum Griffiths  singularities.

参考文献：

[1] Chunyan Li, Haiwen Liu*, X. C. Xie, “The Route of Random Process to Ultraslow Aging Phenomena”, arXiv:2409.14422

[2]  Chunyan Li, Qingyang Feng, Tianjie Zhou, Haiwen Liu*, X. C. Xie,  “Rare-Event-Induced Ergodicity Breaking in Logarithmic Aging Systems”,  under preparation.

报告人简介：

刘海文，北京师范大学教授，主要从事杂质系统和耗散系统的量子输运理论研究，主持国家自然科学基金优青项目和面上项目等。在量子输运领域，与合作者提出了新的理论框架统一解释了多种低维超导体系中普遍存在的超导—金属量子相变特征; 发现并阐明新型二维量子材料中的伊辛类超导体机理; 发现并阐明了一类新颖的对数周期量子振荡；研究成果入选 2022年中国十大科技进展新闻。近几年研究兴趣包括：杂质和耗散效应诱导的新奇演生物态（包括量子Griffiths奇异性、玻色金属态等），对数老化现象的随机过程构建与唯象及微观理论。