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

Structure of the condensed phase in the inclusion process

Tools
- Tools
+ Tools

Jatuviriyapornchai, Watthanan , Chleboun, Paul and Grosskinsky, Stefan (2020) Structure of the condensed phase in the inclusion process. Journal of Statistical Physics, 178 . pp. 682-710. doi:10.1007/s10955-019-02451-9 ISSN 0022-4715.

[img]
Preview
PDF
WRAP-structure-condensed-phase-inclusion-process-Grosskinsky-2019.pdf - Published Version - Requires a PDF viewer.
Available under License Creative Commons Attribution 4.0.

Download (703Kb) | Preview
[img] PDF
WRAP-structure-condensed-phase-inclusion-process-Grosskinsky-2019.pdf - Accepted Version
Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer.

Download (1278Kb)
Official URL: https://doi.org/10.1007/s10955-019-02451-9

Request Changes to record.

Abstract

We establish a complete picture of condensation in the inclusion process in the thermodynamic limit with vanishing diffusion, covering all scaling regimes of the diffusion parameter and including large deviation results for the maximum occupation number. We make use of size-biased sampling to study the structure of the condensed phase, which can extend over more than one lattice site and exhibit an interesting hierarchical structure characterized by the Poisson-Dirichlet distribution. While this approach is established in other areas including population genetics or random permutations, we show that it also provides a powerful tool to analyse homogeneous condensation in stochastic particle systems with stationary product distributions. We discuss the main mechanisms beyond inclusion processes that lead to the interesting structure of the condensed phase, and the connection to other generic particle systems. Our results are exact, and we present Monte-Carlo simulation data and recursive numerics for partition functions to illustrate the main points.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH): Poisson distribution , Dirichlet problem, Stochastic processes
Journal or Publication Title: Journal of Statistical Physics
Publisher: Springer New York LLC
ISSN: 0022-4715
Official Date: February 2020
Dates:
DateEvent
February 2020Published
19 December 2019Available
21 November 2019Accepted
Volume: 178
Page Range: pp. 682-710
DOI: 10.1007/s10955-019-02451-9
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): This is a post-peer-review, pre-copyedit version of an article published in Journal of Statistical Physics. The final authenticated version is available online at: http://dx.doi.org/[insert DOI]”.
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 16 December 2019
Date of first compliant Open Access: 18 January 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/M003620/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
UNSPECIFIEDMahidol Universityhttp://dx.doi.org/10.13039/501100004156
Related URLs:
  • Publisher
Open Access Version:
  • ArXiv

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