Jump to ContentJump to Main Navigation
First Steps in Random WalksFrom Tools to Applications$
Users without a subscription are not able to see the full content.

J. Klafter and I. M. Sokolov

Print publication date: 2011

Print ISBN-13: 9780199234868

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199234868.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 26 January 2021

CTRW and aging phenomena

CTRW and aging phenomena

(p.54) 4 CTRW and aging phenomena
First Steps in Random Walks

J. Klafter

I.M. Sokolov

Oxford University Press

The CTRW process with diverging mean waiting time is non‐stationary. Its properties depend explicitly on the time passed from the beginning of motion (i.e. on the age of the system), and therefore, if the observation does not start at the time of preparation of the process, on this time. Aging phenomena are related to the distribution of the waiting time for the first step after the beginning of observation (forward waiting time), which shows nontrivial behavior (inspection paradox). Physical consequences of aging include death of linear response of the system to external oscillating fields and nontrivial behavior of moving time averages over single trajectories mimicking the one in normal diffusion.

Keywords:   aging, forward waiting time, inspection paradox, moving time average, death of linear response

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .