The Bartlett Centre for Advanced Spatial Analysis


CASA Working Paper 156

WP 156

1 July 2010

Thermodynamic Potentials and Phase Change for Transport Systems

'Thermodynamics of the City' (Wilson 2008) poses the question, in relation to the doubly constrained trip distribution model - What is Z?- where Z is the partition function. To answer this question the entropy maximising procedure of Jaynes(1957) is employed, the partition function derived and expressions given for Helmholtz free energy, for more general free energies and for specific heat. Phase changes are identified using these measures.

The implications of these results are discussed and the possibility of a spatially based exergy analysis is suggested.

This working paper is available as a PDF. The file size is 528KB.

Authors: Robin Morphet

Publication Date: 1/7/2010

Download working paper No. 156.