Bouchaud walks with variable drift

Details Bouchaud walks with variable drift Bouchaud walks with variable drift

2010-03-25

arxiv.org/abs/1003.4978v2

Mathematics

Probability

Scientific paper

In this paper we study a sequence of Bouchaud trap models on $\mathbb{Z}$ with drift. We analyze the possible scaling limits for a sequence of walks, where we make the drift decay to 0 as we rescale the walks. Depending on the speed of the decay of the drift we obtain three different scaling limits. If the drift decays slowly as we rescale the walks we obtain the inverse of an \alpha$-stable subordinator as scaling limit. If the drift decays quickly as we rescale the walks, we obtain the F.I.N. diffusion as scaling limit. There is a critical speed of decay separating these two main regimes, where a new process appears as scaling limit. This critical speed is related to the index $\alpha$ of the inhomogeneity of the environment.

Affiliated with

Also associated with

No associations

Rating

Bouchaud walks with variable drift does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bouchaud walks with variable drift, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bouchaud walks with variable drift will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556935