Abstract
Let τ i be a collection of i.i.d. positive random variables with distribution in the domain of attraction of an α-stable law with α<1. The symmetric Bouchaud's trap model on ℤ is a Markov chain X(t) whose transition rates are given by w xy =(2τ x )−1 if x, y are neighbours in ℤ. We study the behaviour of two correlation functions: ℙ[X(t w +t)=X(t w )] and Open image in new window It is well known that for any of these correlation functions a time-scale t=f(t w ) such that aging occurs can be found. We study these correlation functions on time-scales different from f(t w ), and we describe more precisely the behaviour of a singular diffusion obtained as the scaling limit of Bouchaud's trap model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
