Econophysics and Entropy in Dynamically Complex Urban/Regional Systems

J. Barkley Rosser

Chapter Chapter 5 in Foundations and Applications of Complexity Economics, 2021, pp 89-100 from Springer

Abstract: Abstract Since at least the early efforts of Alan Wilson (1967, 1970), the idea of using the law of entropy to assist in modeling the development of urban and regional spatial structural patterns has been influential. To understand how this has been done and how useful it is as an approach, we must first consider the various formulations of that law that have been made. The full development of the idea is associated with the second law of thermodynamics due principally to Boltzmann (1884), although drawing on earlier work by Carnot (1824) and Clausius (1867). Jaynes (1957) prepared this approach for application in economics with Georgescu-Roegen (1971) also providing a deep perspective. Later, Shannon (1948) would extend this to the study of information patterns. Rosser Jr. (2016b) argues that within economic systems the former is most appropriate when ontological thermodynamic forces are objectively driving the dynamics of a system. The latter is more important as a metaphorical tool when a similar mathematical pattern arises.

Date: 2021
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DOI: 10.1007/978-3-030-70668-5_5

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