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Finite-size scaling at phase coexistence

Gupta, Sourendu ; Irbäck, A. LU orcid and Ohlsson, M. LU orcid (1993) In Nuclear Physics, Section B 409(3). p.663-683
Abstract

From a finite-size scaling (FSS) theory of cumulants of the order parameter at phase-coexistence points, we reconstruct the scaling of the moments. Assuming that the cumulants allow a reconstruction of the free energy density no better than as an asymptotic expansion, we find that FSS for moments of low order is still complete. We suggest ways of using this theory for the analysis of numerical simulations. We test these methods numerically through the scaling of cumulants and moments of the magnetisation in the low-temperature phase of the two-dimensional Ising model.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Nuclear Physics, Section B
volume
409
issue
3
pages
21 pages
publisher
North-Holland
external identifiers
  • scopus:13644269687
ISSN
0550-3213
DOI
10.1016/0550-3213(93)90545-Z
language
English
LU publication?
yes
id
e0dee28a-66f4-4fc9-869e-beb9d49a55ac
date added to LUP
2017-05-19 13:49:13
date last changed
2024-01-13 21:23:05
@article{e0dee28a-66f4-4fc9-869e-beb9d49a55ac,
  abstract     = {{<p>From a finite-size scaling (FSS) theory of cumulants of the order parameter at phase-coexistence points, we reconstruct the scaling of the moments. Assuming that the cumulants allow a reconstruction of the free energy density no better than as an asymptotic expansion, we find that FSS for moments of low order is still complete. We suggest ways of using this theory for the analysis of numerical simulations. We test these methods numerically through the scaling of cumulants and moments of the magnetisation in the low-temperature phase of the two-dimensional Ising model.</p>}},
  author       = {{Gupta, Sourendu and Irbäck, A. and Ohlsson, M.}},
  issn         = {{0550-3213}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{3}},
  pages        = {{663--683}},
  publisher    = {{North-Holland}},
  series       = {{Nuclear Physics, Section B}},
  title        = {{Finite-size scaling at phase coexistence}},
  url          = {{http://dx.doi.org/10.1016/0550-3213(93)90545-Z}},
  doi          = {{10.1016/0550-3213(93)90545-Z}},
  volume       = {{409}},
  year         = {{1993}},
}