Eur. Phys. J. B 35, 565-570 (2003)
https://doi.org/10.1140/epjb/e2003-00309-x

A minimal dissipation type-based classification in irreversible thermodynamics and microeconomics

¹ Program System Institute, Russian Academy of Sciences, set “Botik”, Pereaslavl-Zalesky, Russia 152020
² School of Finance and Economics, University of Technology, Sydney PO Box 123 Broadway, NSW 2007 Australia

Corresponding author: ^a kaz@arch.usyd.edu.au

Received: 18 February 2003
Revised: 10 June 2003
Published online: 24 October 2003

Abstract

We formulate the problem of finding classes of kinetic dependencies in irreversible thermodynamic and microeconomic systems for which minimal dissipation processes belong to the same type. We show that this problem is an inverse optimal control problem and solve it. The commonality of this problem in irreversible thermodynamics and microeconomics is emphasized.