Analysis of phase transition points for a two-color agent-based model

Title
Analysis of phase transition points for a two-color agent-based model
Author(s)
신재균정평석
Keywords
RESIDENTIAL SEGREGATION; VESICLES; FISSION
Issue Date
201304
Publisher
ELSEVIER SCIENCE BV
Citation
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v.392, no.8, pp.1863 - 1872
Abstract
The agent-based model treated in the present study describes dynamics of two types of population in a gravity-like potential field. In previous studies, the model was known to exhibit various spatiotemporal patterns on two-dimensioanl lattice systems. However, the patterns were classified depending purely on eye observations, and the underlying dynamics of these patterns were not fully explored. It remained a question to be answered if these eye observation-based classifications could be confirmed by any analytical means. To pursue the question, we first suggest several analytic quantities, such as convergence time steps and reaction speed, to replace the eye observations. As a result, we show that a phase diagram can be reasonably drawn on the contour diagram of the time steps. In addition, we find a power-law scaling in the reaction speed, confirming that a phase transition really is involved there. Next, as a main part of the present study, we apply analytical methods to calculate two important phase transition points from the system. The results from the analytical approach agreed well with the numerically obtained phase transition points from the agent-based model. In general, the paper serves as an example study of estimating global phenomena of complex systems in terms of local parameters of the system. (C) 2012 Elsevier B.V. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/26060http://dx.doi.org/10.1016/j.physa.2012.12.014
ISSN
0378-4371
Appears in Collections:
공과대학 > 기계공학부 > Articles
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