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

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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.

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References

  1. M. Lichnerowicz, Annales de l’Institut Henri Poincaré (1970)

  2. K. Martinás, Irreversible microeconomics, in Complex Systems in Natural and Economic Sciences, edited by K. Martinás, M. Moreau (Mátrafüred, 1995)

  3. L.I. Rozonoer, Automation and Remote Control 5, I, 115-132

  4. A.M. Tsirlin, Optimization methods in irreversible thermodynamics and microeconomics (Moscow, Science, 2002)

  5. P.A. Samuelsen, Thesis 1, 184 (1993)

    Google Scholar 

  6. B. Andresen, Finite-time thermodynamics (University of Copenhagen, Copenhagen, 1983)

  7. R.S. Berry, V.A. Kasakov, S. Sieniutycz, Z. Szwast, A.M. Tsirlin, Thermodynamic Optimization of Finite Time Processes (Wiley, Chichester, 1999)

  8. P. Salamon, A. Nitzan, B. Andresen, R.S. Berry, Phys. Rev. A 21, 2115 (1980)

    Article  MathSciNet  Google Scholar 

  9. S. Sieniutycz, P. Salamon, Finite-Time Thermodynamics and Thermoeconomics (Taylor & Francis, 1990)

  10. J. Ville, Rev. Economics Studies 19, 123 (1951)

    Google Scholar 

  11. J.A. Von Neumann, Rev. Economic Studies 3, 1 (1945)

    Google Scholar 

  12. A.G. Kuznecov, A.V. Rudenko, A.M. Tsirlin, Automation and Remote Control 6, 56 (1985)

    Google Scholar 

  13. N.A. Kolinko, A.M. Tsirlin, Proceeding of the international conference “Intellectual technologies in control problems”, 172-177 (1999)

  14. A.M. Tsirlin, V.A. Mironova, V. Kazakov, S.A. Amelkin, Phys. Rev. E 58, 1 (1998)

    Article  Google Scholar 

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Correspondence to V. Kazakov.

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Received: 10 June 2003, Published online: 24 October 2003

PACS:

05.70.Ln Nonequilibrium and irreversible thermodynamics - 89.65.Gh Economics; econophysics, financial markets, business and management

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Tsirlin, A.M., Kazakov, V. & Kolinko, N.A. A minimal dissipation type-based classification in irreversible thermodynamics and microeconomics. Eur. Phys. J. B 35, 565–570 (2003). https://doi.org/10.1140/epjb/e2003-00309-x

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  • DOI: https://doi.org/10.1140/epjb/e2003-00309-x

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