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Title: Systematic procedure for analyzing cumulants at any order

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1352980
Grant/Contract Number:
SC0012185
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 4; Related Information: CHORUS Timestamp: 2017-04-24 22:10:28; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Di Francesco, Philippe, Guilbaud, Maxime, Luzum, Matthew, and Ollitrault, Jean-Yves. Systematic procedure for analyzing cumulants at any order. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.044911.
Di Francesco, Philippe, Guilbaud, Maxime, Luzum, Matthew, & Ollitrault, Jean-Yves. Systematic procedure for analyzing cumulants at any order. United States. doi:10.1103/PhysRevC.95.044911.
Di Francesco, Philippe, Guilbaud, Maxime, Luzum, Matthew, and Ollitrault, Jean-Yves. Mon . "Systematic procedure for analyzing cumulants at any order". United States. doi:10.1103/PhysRevC.95.044911.
@article{osti_1352980,
title = {Systematic procedure for analyzing cumulants at any order},
author = {Di Francesco, Philippe and Guilbaud, Maxime and Luzum, Matthew and Ollitrault, Jean-Yves},
abstractNote = {},
doi = {10.1103/PhysRevC.95.044911},
journal = {Physical Review C},
number = 4,
volume = 95,
place = {United States},
year = {Mon Apr 24 00:00:00 EDT 2017},
month = {Mon Apr 24 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevC.95.044911

Citation Metrics:
Cited by: 6works
Citation information provided by
Web of Science

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  • Recently it has been shown that cumulants significantly simplify the analysis of multipartite weak measurements. Here we consider the mathematical structure that underlies this and find that it can be formulated in terms of what we call the moment algebra. Apart from resulting in simpler proofs, the flexibility of this structure allows generalizations of the original results to a number of weak measurement scenarios, including one where the weakly interacting pointers reach thermal equilibrium with the probed system.
  • Any physical system considered to study the QCD deconfinement phase transition certainly has a finite volume, so the finite size effects are inevitably present. This renders the location of the phase transition and the determination of its order as an extremely difficult task, even in the simplest known cases. In order to identify and locate the colorless QCD deconfinement transition point in finite volume T{sub 0}(V), a new approach based on the finite-size cumulant expansion of the order parameter and the ℒ{sub m,n}-Method is used. We have shown that both cumulants of higher order and their ratios, associated to themore » thermodynamical fluctuations of the order parameter, in QCD deconfinement phase transition behave in a particular enough way revealing pronounced oscillations in the transition region. The sign structure and the oscillatory behavior of these in the vicinity of the deconfinement phase transition point might be a sensitive probe and may allow one to elucidate their relation to the QCD phase transition point. In the context of our model, we have shown that the finite volume transition point is always associated to the appearance of a particular point in whole higher order cumulants under consideration.« less
  • Cited by 25