Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism

Tools
- Tools
+ Tools

Hudson, Thomas E. (Edward) and Li, Xingjie Helen (2020) Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism. Multiscale Modeling & Simulation: a SIAM Interdisciplinary Journal , 18 (2). pp. 1113-1135. doi:10.1137/18M1222533 ISSN 1540-3459.

[img]
Preview
PDF
WRAP-Coarse-graining-overdamped-Langevin-formalism-Hudson-2020.pdf - Accepted Version - Requires a PDF viewer.

Download (999Kb) | Preview
Official URL: https://doi.org/10.1137/18M1222533

Request Changes to record.

Abstract

The Mori–Zwanzig formalism is applied to derive an equation for the evolution of linear observables of the overdamped Langevin equation. To illustrate the resulting equation and its use in deriving approximate models, a particular benchmark example is studied both numerically and via a formal asymptotic expansion. The example considered demonstrates the importance of memory effects in determining the correct temporal behaviour of such systems.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QP Physiology
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Stochastic processes, Langevin equations, Molecular dynamics -- Mathematical models
Journal or Publication Title: Multiscale Modeling & Simulation: a SIAM Interdisciplinary Journal
Publisher: World Scientific Publishing Co. Pte. Ltd.
ISSN: 1540-3459
Official Date: 15 June 2020
Dates:
DateEvent
15 June 2020Published
12 February 2020Accepted
Volume: 18
Number: 2
Page Range: pp. 1113-1135
DOI: 10.1137/18M1222533
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): “First Published in Multiscale Modeling & Simulation: a SIAM Interdisciplinary Journal in [volume and number, or year], published by the Society for Industrial and Applied Mathematics (SIAM)”
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.
Date of first compliant deposit: 6 April 2020
Date of first compliant Open Access: 6 April 2020
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
Early Career Fellowship ECF-2016-526Leverhulme Trusthttp://dx.doi.org/10.13039/501100000275
Collaboration Grant Award ID: 426935Simons Foundationhttp://dx.doi.org/10.13039/100000893
DMS CAREER-1847770National Science Foundationhttp://dx.doi.org/10.13039/501100008982
Related URLs:
  • Publisher

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us