6 Dynamics of trap models Gérard
نویسنده
چکیده
3 The one-dimensional trap model 9 3.1 The Fontes-Isopi-Newman singular diffusion . . . . . . . . . . . . . . . . 10 3.2 The scaling limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.3 Aging results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.4 Subaging results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.5 Behaviour of the aging functions on different time scales . . . . . . . . . 18 3.6 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
منابع مشابه
The Arcsine Law as a Universal Aging Scheme for Trap Models
We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on abstract conditions on the potential theory of the underlying graph and on the randomness of the trapping landscape. We apply this proof to aging for trap models on large two-dimensional tori and for trap dynamics of the Random Energy Model on a broad range of time scales.
متن کاملAging in the random energy model.
The random energy model (REM) has become a key reference model for glassy systems. In particular, it is expected to provide a prime example of a system whose dynamics shows aging, a universal phenomenon characterizing the dynamics of complex systems. The analysis of its activated dynamics is based on so-called trap models, introduced by Bouchaud, that are also used to mimic the dynamics of more...
متن کاملAging and Spin-glass Dynamics
We survey the recent mathematical results about aging in certain simple disordered models. We start by the Bouchaud trap model. We then survey the results obtained for simple models of spin-glass dynamics, like the REM (the Random Energy Model, which is well approximated by the Bouchaud model on the complete graph), then the spherical Sherrington-Kirkpatrick model. We will insist on the differe...
متن کاملEvaluation of sediments trap efficiency in medium-scale settling basins (Case Study: Settling basin of Kamandan intake)
One of the most important issues in water supply for agriculture or drinking is sediment control.Sedimentation in water conveyance channels reduces transmission efficiency. this study evaluated theefficiency of settling basin of Kamandan intake that is located in the village of Aligoodarz in Lorestanprovince. At first sample from water and sediment in inlet and outlet of settling basin in diffe...
متن کاملScaling Limit for Trap Models on Z
We give the " quenched " scaling limit of Bouchaud's trap model in d ≥ 2. This scaling limit is the fractional-kinetics process, that is the time change of a d-dimensional Brownian motion by the inverse of an independent α-stable subordinator. 1. Introduction. This work establishes scaling limits for certain important models of trapped random walks on Z d. More precisely we show that Bouchaud's...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008