Open AccessWhat is critical about criticality: in praise of the correlation function
Author(s) -
Henrik Jeldtoft Jensen
Publication year - 2021
Publication title -
journal of physics. complexity
Language(s) - English
Resource type - Journals
ISSN - 2632-072X
DOI - 10.1088/2632-072x/ac24f2
Subject(s) - criticality , praise , phenomenology (philosophy) , correlation , statistical physics , self organized criticality , correlation function (quantum field theory) , power law , function (biology) , critical phenomena , econometrics , psychology , mathematics , social psychology , physics , epistemology , spectral density , statistics , phase transition , quantum mechanics , philosophy , nuclear physics , geometry , evolutionary biology , biology
We present a brief review of power laws and correlation functions as measures of criticality and the relation between them. By comparing phenomenology from rain, brain and the forest fire model we discuss the relevant features of self-organisation to the vicinity about a critical state. We conclude that organisation to a region of extended correlations and approximate power laws may be behaviour of interest shared between the three considered systems.