Complex competitive systems and competitive thermodynamics

Klimenko, A. Y. (2013) Complex competitive systems and competitive thermodynamics. Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 371 1982: . doi:10.1098/rsta.2012.0244


Author Klimenko, A. Y.
Title Complex competitive systems and competitive thermodynamics
Journal name Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences   Check publisher's open access policy
ISSN 1364-503X
1471-2962
Publication date 2013-01
Year available 2012
Sub-type Critical review of research, literature review, critical commentary
DOI 10.1098/rsta.2012.0244
Volume 371
Issue 1982
Total pages 16
Place of publication London, United Kingdom
Publisher The Royal Society Publishing
Collection year 2013
Language eng
Abstract This publication reviews the framework of abstract competition, which is aimed at studying complex systems with competition in their generic form. Although the concept of abstract competition has been derived from a specific field-modelling of mixing in turbulent reacting flows-this concept is, generally, not attached to a specific phenomenon or application. Two classes of competition rules, transitive and intransitive, need to be distinguished. Transitive competitions are shown to be consistent (at least qualitatively) with thermodynamic principles, which allows for introduction of special competitive thermodynamics. Competitive systems can thus be characterized by thermodynamic quantities (such as competitive entropy and competitive potential), which determine that the predominant direction of evolution of the system is directed towards higher competitiveness. There is, however, an important difference: while conventional thermodynamics is constrained by its zeroth law and is fundamentally transitive, the transitivity of competitive thermodynamics depends on the transitivity of the competition rules. The analogy with conventional thermodynamics weakens as competitive systems become more intransitive, while strongly intransitive competitions can display types of behaviour associated with complexity: competitive cooperation and leaping cycles. Results of simulations demonstrating complex behaviour in abstract competitions are presented in the electronic supplementary material.
Keyword Mixing
Turbulence
Evolving competitive systems
Complexity
Non-conventional and non-equilibrium thermodynamics
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Published online: 26 November 2012.

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collections: School of Mechanical & Mining Engineering Publications
Official 2013 Collection
 
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