Skip to main content

Boltzmann-Like Equations

  • Chapter
  • First Online:
Quantitative Sociodynamics

Abstract

In the following we will assume to be confronted with systems that consist of N elements (subsystems) α. If the dynamics of the system is mainly given by pair interactions of the elements

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

References

  1. Liboff RL (1990) Kinetic theory. Classical, quantum, and relativistic descriptions. Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  2. Chapman S, Cowling TG (1970) The mathematical theory of non-uniform gases, 3rd edn. Cambridge University Press, New York, NY

    Google Scholar 

  3. Keizer J (1987) Statistical thermodynamics of nonequilibrium processes, Chaps. 2.7 to 2.9. Springer, New York, NY

    Book  Google Scholar 

  4. Enskog D (1917) The kinetic theory of phenomena in fairly rare gases. PhD thesis, Uppsala

    Google Scholar 

  5. Atkins PW (1986) Physical chemistry, Chaps. 28, 29, 3rd edn. Oxford University Press, Oxford

    Google Scholar 

  6. Keizer J (1987) Statistical thermodynamics of nonequilibrium processes, Chaps. 2.7 to 2.9. Springer, New York, NY

    Book  Google Scholar 

  7. Kubo R, Toda M, Hashitsume N (1985) Statistical physics II. Nonequilibrium statistical mechanics, Chap. 2.8: Boltzmann equation. Springer, Berlin

    Google Scholar 

  8. Landau LD, Lifshitz EM (1981) Course of theoretical physics, vol 10, Physical kinetics. Pergamon Press, Oxford

    Google Scholar 

  9. Levine IN (1988) Physical chemistry, Chap. 17: Reaction kinetics, 3rd edn. McGraw-Hill, New York, NY

    Google Scholar 

  10. Prigogine I (1963) Non equilibrium statistical mechanics. Wiley, New York, NY

    Google Scholar 

  11. Rieckers A, Stumpf H (1977) Thermodynamik, Band 2, Chap. H: Ableitung der Boltzmanngleichung aus der Pauli-Master-Gleichung. Vieweg, Braunschweig

    Google Scholar 

  12. Bogoliubov NN (1962) In: Uhlenbeck GE, deBoer J (eds) Studies in statistical mechanics, vol 1. North-Holland, Amsterdam

    Google Scholar 

  13. Boltzmann L (1964) Lectures on gas theory. University of California, Berkeley, CA

    Google Scholar 

  14. Uhlenbeck GE, Ford GW (1963) Lectures in statistical mechanics. American Mathematical Society, Providence, RI

    Google Scholar 

  15. Cohen EGD (1968) The kinetic theory of dense gases. In: Cohen EGD (ed) Fundamental problems in statistical mechanics II. Wiley, New York, NY

    Google Scholar 

  16. Cohen EGD (1969) The kinetic theory of moderately dense gases. In: Hanley HJM (ed) Transport phenomena in fluids. Dekker, New York, NY

    Google Scholar 

  17. Dorfman JR (1981) In: Raveché HJ (ed). Perspectives in statistical physics. North-Holland, Amsterdam

    Google Scholar 

  18. Grabert H, Weidlich W (1974) Masterequation, H-theorem and stationary solution for coupled quantum systems. Zeitschrift für Physik 268:139–143

    Article  MathSciNet  Google Scholar 

  19. Grad H (1958) Principles of the kinetic theory of gases, vol 12, Handbuch der Physik. Springer, Berlin

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dirk Helbing .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Helbing, D. (2010). Boltzmann-Like Equations. In: Quantitative Sociodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11546-2_4

Download citation

Publish with us

Policies and ethics