April 2015
Beginner to intermediate
539 pages
15h 21m
English
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Chapter 8
A Self-Organizing Dynamic System with a Phase Transition
Deborah Nolan
University of California, Berkeley
Duncan Temple Lang
University of California, Davis
8.1 Introduction and Motivation
In this chapter, we will explore a very simple dynamic system. It exhibits two interesting characteristics – a phase transition and self-organization.
Most things in nature behave continuously. As inputs change a little, the outcomes change slightly. It is interesting when a slight change in an input causes a significantly different outcome. In some cases, as we vary an input over a range of values, we see continuous changes and then abruptly see qualitatively different outputs. This tipping point is called a phase transition. Basically, the system ...