Phase relaxation in slowly changing environments: Evaluation of the Kubo-Anderson model for a continuous-time random walk

Daniel M. Packwood

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The Kubo-Anderson model is a stochastic model of phase relaxation of an ensemble of systems in a fluctuating environment. This model is usually studied under the assumption that the system-environment interaction is a Gaussian stochastic process. This assumption only holds if the environment changes a very large number of times on the time scale of the system's motion. This paper reviews our work on the Kubo-Anderson model for the case where this interaction is a continuous-time random walk. A continuous-time random walk is a simple model for a 'slowly changing environment', i.e., one which makes a relatively small number of changes on the time scale of the system's motion. We present the key results from this model and show how to apply them to common problems in magnetic resonance spectroscopy and and non-linear optical spectroscopy.

    Original languageEnglish
    Title of host publication4th International Symposium on Slow Dynamics in Complex Systems
    Subtitle of host publicationKeep Going Tohoku
    Pages474-480
    Number of pages7
    DOIs
    Publication statusPublished - 2013
    Event4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku - Sendai, Japan
    Duration: 2012 Dec 22012 Dec 7

    Publication series

    NameAIP Conference Proceedings
    Volume1518
    ISSN (Print)0094-243X
    ISSN (Electronic)1551-7616

    Other

    Other4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku
    CountryJapan
    CitySendai
    Period12/12/212/12/7

    Keywords

    • Continuous time random walk
    • dephasing
    • phase relaxation
    • slow dynamics
    • stochastic processes

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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