.png){kind=icon}
返回
Generalized Einstein relation for aging processes
.png){kind=icon}
OA
AI
DOI：10.1038/s42005-024-01791-7.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Physical aging appears in many systems ranging from glassy/granular materials, blinking quantum dots to laser-cooled atoms. Aging is a process with three fingerprints: (i) slow, non-exponential relaxation, (ii) breaking of time-translation-invariance, and (iii) dynamical scaling. Here, we show that all these features are present in our minimal Langevin model for aging. A natural extension of the Einstein relation, which was expected to be true in an equilibrium state, is conjectured to hold in aging processes where both the damping and the temperature decrease with time in power-law forms. The generalized Einstein relation can be used to tackle the difficult problem of determining non-ergodic behaviours. The model shows a power-law-type diffusion away from the critical point and a logarithmic Sinai-type ultra-slow diffusion at the critical point. Application to granular gases is also discussed. The authors propose a minimal Langevin model with time-dependent noise, diffusion coefficient, and friction coefficient, which is appropriate to describe cooling environments (granular gases, laser cooling). Assuming that the temperature and the friction coefficient decay in a power-law manner, the generalized Einstein relation is analysed.
Keyword:
DIFFUSION
DYNAMICS
期刊
IF:
5.8
论文数:
2.9K
被引数:
1.0W
机构
引用论文
Neuromodulatory effects of corticotropin releasing factor on cerebellar purkinje cells: An in vivo study in the cat.png)
Neuroscience
NeuroscienceIF0
PREAI
分享收藏COAGULATION PROFILE AND CLOT STIFFNESS ANALYSIS FROM COVID-19-POSITIVE PATIENTS USING A NOVEL VISCOELASTICITY TESTING TECHNOLOGY使用新型粘弹性测试技术对COVID-19阳性患者的凝血概况和血栓刚度分析
PREAI
分享收藏Inhibition of Autism Spectrum Disorder Associated Bacteria and C. difficile by Polyols聚醇对自闭症谱系障碍相关细菌和艰难梭菌的抑制作用OAAI
OAAI分享收藏分享收藏Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusionSCIENTIFIC REPORTS
OAAI
SCIENTIFIC REPORTSIF3.9
OAAI分享收藏
查看更多内容