Skip to main content

Part of the book series: Understanding Complex Systems ((UCS,volume 70))

  • 1291 Accesses

Abstract

Entropy and entropy production for multi-scale and multi-level systems are studied here with reference to physical and informational aspects.

Entropy balance, entropy increase and entropy production principles are formulated in new frames based on model categorification.

Case studies pertain to biosystems and ecosystems.

For the general PSM framework, new entropic criteria are proposed based on the study of different types of causation.

Evolvability maximization role for integrative closure is emphasized.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aoki, I.: Entropy production in living systems: from organisms to ecosystems. Thermochimica Acta. 250, 359–370 (1995)

    Article  Google Scholar 

  • Capdepuy, P., Polani, D., Nehaniv, C.: Maximization of potential information flow as a universal utility for collective behavior. In: Proceeding of the 2007 IEEE Symposium on Artificial Life (CI-ALife 2007), pp. 207–213. IEEE Press, Piscataway (2007)

    Chapter  Google Scholar 

  • Desvillettes, L., Villani, C.: On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Invent. Math. 159(2), 245–316 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  • Dewar, R.C.: Informational theory explanation of the fluctuation theorem, maximum entropy production, and self-organized criticality in non-equilibrium stationary states. J. Phys. A 36, 631–641 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  • Glansdorff, P., Prigogine, I.: Structure Stabilité et Fluctuation. Masson et Cie, Paris (1971)

    Google Scholar 

  • Herrmann-Pillath, C.: Entropy, Function and Evolution: Naturalizing Peirceian Semiosis. Entropy 12, 197–242 (2010)

    Article  Google Scholar 

  • Herrmann-Pillath, C.: Rethinking Evolution, Entropy and Economics: A triadic conceptual framework for the Maximum Entropy Principle as applied on the growth of knowledge. In: Aussschuβ fur Evolutorische Okonomik, Linz, Austria (2010)

    Google Scholar 

  • Hiernaux, J., Babloyantz, A.: Dissipation in Embryogenesis. J. Non-Equilib.Thermodyn. 1, 33–37 (1976)

    Article  Google Scholar 

  • Iordache, O., Frangopol, P.T.: Relaxations in biophysical systems. Rev. Roum. Phys. 33, 1159–1162 (1988b)

    Google Scholar 

  • Iordache, O., Frangopol, P.T.: The production of entropy and the stability of biosystems with many timescales. Rev. Roum. Biochim. 25, 325–328 (1988c)

    Google Scholar 

  • Iordache, O., Frangopol, P.T.: Nonarchimedean formalism for entropy balance in biosystems. Rev. Roum. Phys. 34, 217–227 (1989)

    MathSciNet  Google Scholar 

  • Jaynes, E.T.: Information Theory and Statistical Mechanics. Phys. Rev. 106, 620–630 (1957)

    Article  MathSciNet  Google Scholar 

  • Kauffman, S.: Investigations. Oxford University Press, Oxford (2000)

    Google Scholar 

  • Klyubin, A.S., Polani, D., Nehaniv, C.L.: Empowerment: A universal agent-centric measure of control. In: Proc. IEEE Congress of Evolutionary Computation (CEC 2005), Edinburgh, UK, pp. 128–135 (2005)

    Google Scholar 

  • Lurie, D., Wagensberg, J.: Entropy balance in biological development and heat dissipation in embryogenesis. J. Non-Equilib. Thermodyn. 4, 127–130 (1979)

    Article  Google Scholar 

  • Neder, L.: Modell einer Differentialrechnng mit aktual unendlich kleinen Grossen erster Ordnung. Math. Annalen. 118(2), 251–262 (1941)

    Article  MathSciNet  Google Scholar 

  • Neder, L.: Model einer Leibnizischen Differentialrechnung mit aktual unendlich kleiner Grossen samtlicher Ordnungen. Math. Annalen. 118(5), 718–732 (1943)

    MATH  MathSciNet  Google Scholar 

  • Nicolis, G., Prigogine, I.: Exploring Complexity. An Introduction. Freeman, New York (1989)

    Google Scholar 

  • Polani, D.: Information: currency of life? HFSP Journal 3(5), 307–316 (2009)

    Article  Google Scholar 

  • Prigogine, I.: From being to becoming. Time and complexity in the physical sciences. Freeman, San Francisco (1980)

    Google Scholar 

  • Prigogine, I.: What is Entropy. Naturwissenschaften 76, 1–8 (1989)

    Article  Google Scholar 

  • Salthe, S.: Infodynamics, a developmental framework for ecology/economics. Conservation Ecology (2003)

    Google Scholar 

  • Schnakenberg, L.: Thermodynamic Network Analysis of Biological Systems. Springer, Berlin (1977)

    MATH  Google Scholar 

  • Sporns, O., Lungarella, M.: Evolving coordinated behavior by maximizing information structure. In: Rocha, L.M., Yaeger, L.S., Bedau, M.A., Floreano, D., Goldstone, R.L., Vespignani, A. (eds.) Artificial life X, Proccedings of the Tenth International Conference on the simulation and Synthesis of Living Systems, pp. 323–329. MIT Press, Cambridge (2006)

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Iordache, O. (2011). Entropy. In: Modeling Multi-Level Systems. Understanding Complex Systems, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17946-4_8

Download citation

Publish with us

Policies and ethics