Next Article in Journal
Analysis of the Temporal Structure Evolution of Physical Systems with the Self-Organising Tree Algorithm (SOTA): Application for Validating Neural Network Systems on Adaptive Optics Data before On-Sky Implementation
Next Article in Special Issue
Complexity and Vulnerability Analysis of the C. Elegans Gap Junction Connectome
Previous Article in Journal
Normalized Unconditional ϵ-Security of Private-Key Encryption
Previous Article in Special Issue
Synergy and Redundancy in Dual Decompositions of Mutual Information Gain and Information Loss
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Entropy 2017, 19(3), 102; doi:10.3390/e19030102

Emergence of Distinct Spatial Patterns in Cellular Automata with Inertia: A Phase Transition-Like Behavior

1
CEPLAN, Universidade do Estado de Santa Catarina, 89283-081 São Bento do Sul-SC, Brazil
2
Departamento de Física, Universidade Federal do Paraná, C.P. 19044, 81531-980 Curitiba-PR, Brazil
3
Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970 São Paulo-SP, Brazil
*
Author to whom correspondence should be addressed.
Academic Editor: Mikhail Prokopenko
Received: 24 December 2016 / Revised: 20 February 2017 / Accepted: 28 February 2017 / Published: 7 March 2017
(This article belongs to the Special Issue Complexity, Criticality and Computation (C³))
View Full-Text   |   Download PDF [5142 KB, uploaded 7 March 2017]   |  

Abstract

We propose a Cellular Automata (CA) model in which three ubiquitous and relevant processes in nature are present, namely, spatial competition, distinction between dynamically stronger and weaker agents and the existence of an inner resistance to changes in the actual state S n (=−1,0,+1) of each CA lattice cell n (which we call inertia). Considering ensembles of initial lattices, we study the average properties of the CA final stationary configuration structures resulting from the system time evolution. Assuming the inertia a (proper) control parameter, we identify qualitative changes in the CA spatial patterns resembling usual phase transitions. Interestingly, some of the observed features may be associated with continuous transitions (critical phenomena). However, certain quantities seem to present jumps, typical of discontinuous transitions. We argue that these apparent contradictory findings can be attributed to the inertia parameter’s discrete character. Along the work, we also briefly discuss a few potential applications for the present CA formulation. View Full-Text
Keywords: cellular automata; spatial-temporal patterns; complexity; phase transitions; emergent behavior; phase segregation; ecotones cellular automata; spatial-temporal patterns; complexity; phase transitions; emergent behavior; phase segregation; ecotones
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Kramer, K.; Koehler, M.; Fiore, C.E.; da Luz, M.G. Emergence of Distinct Spatial Patterns in Cellular Automata with Inertia: A Phase Transition-Like Behavior. Entropy 2017, 19, 102.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top