University of Sussex
Browse
10-1214-16-EJP4175.pdf.pdf (383.48 kB)

Continuum percolation for Gibbsian point processes with attractive interactions

Download (383.48 kB)
journal contribution
posted on 2023-06-09, 04:20 authored by Sabine Jansen
We study the problem of continuum percolation in infinite volume Gibbs measures for particles with an attractive pair potential, with a focus on low temperatures (large ß). The main results are bounds on percolation thresholds ? ± (ß) in terms of the density rather than the chemical potential or activity. In addition, we prove a variational formula for a large deviations rate function for cluster size distributions. This formula establishes a link with the Gibbs variational principle and a form of equivalence of ensembles, and allows us to combine knowledge on finite volume, canonical Gibbs measures with infinite volume, grand-canonical Gibbs measures

History

Publication status

  • Published

File Version

  • Published version

Journal

Electronic Journal of Probability

ISSN

1083-6489

Publisher

Institute of Mathematical Statistics

Volume

21

Page range

47

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-01-13

First Open Access (FOA) Date

2017-01-13

First Compliant Deposit (FCD) Date

2017-01-13

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC