A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle

Zhi Qin John Xu, Fang Xu, Guoqiang Bi, Doug Zhou, David Cai

Research output: Contribution to journalArticle

Abstract

The maximum entropy principle (MEP) has been applied to study various problems in equilibrium and nonequilibrium systems in physics and other disciplines. Through analyses of numerical and experimental data, we demonstrate that the widely used entropic criteria, an assessment of the validity of MEP, can be misleading indexes as they can often fail to reflect the important difference between the observed and the MEP predicted statistical distribution. Our work demonstrates the importance of high-order statistical structures that cannot be captured by the entropic criteria and provides a cautionary tale of over-interpretation of results of MEP. This paper is dedicated to David Cai.

Original languageEnglish (US)
Article number38005
JournalEPL
Volume126
Issue number3
DOIs
StatePublished - Jan 1 2019

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entropy
statistical distributions
physics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle. / Xu, Zhi Qin John; Xu, Fang; Bi, Guoqiang; Zhou, Doug; Cai, David.

In: EPL, Vol. 126, No. 3, 38005, 01.01.2019.

Research output: Contribution to journalArticle

Xu, Zhi Qin John ; Xu, Fang ; Bi, Guoqiang ; Zhou, Doug ; Cai, David. / A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle. In: EPL. 2019 ; Vol. 126, No. 3.
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