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
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Liboff RL (1990) Kinetic theory. Classical, quantum, and relativistic descriptions. Prentice-Hall, Englewood Cliffs, NJ
Chapman S, Cowling TG (1970) The mathematical theory of non-uniform gases, 3rd edn. Cambridge University Press, New York, NY
Keizer J (1987) Statistical thermodynamics of nonequilibrium processes, Chaps. 2.7 to 2.9. Springer, New York, NY
Enskog D (1917) The kinetic theory of phenomena in fairly rare gases. PhD thesis, Uppsala
Atkins PW (1986) Physical chemistry, Chaps. 28, 29, 3rd edn. Oxford University Press, Oxford
Keizer J (1987) Statistical thermodynamics of nonequilibrium processes, Chaps. 2.7 to 2.9. Springer, New York, NY
Kubo R, Toda M, Hashitsume N (1985) Statistical physics II. Nonequilibrium statistical mechanics, Chap. 2.8: Boltzmann equation. Springer, Berlin
Landau LD, Lifshitz EM (1981) Course of theoretical physics, vol 10, Physical kinetics. Pergamon Press, Oxford
Levine IN (1988) Physical chemistry, Chap. 17: Reaction kinetics, 3rd edn. McGraw-Hill, New York, NY
Prigogine I (1963) Non equilibrium statistical mechanics. Wiley, New York, NY
Rieckers A, Stumpf H (1977) Thermodynamik, Band 2, Chap. H: Ableitung der Boltzmanngleichung aus der Pauli-Master-Gleichung. Vieweg, Braunschweig
Bogoliubov NN (1962) In: Uhlenbeck GE, deBoer J (eds) Studies in statistical mechanics, vol 1. North-Holland, Amsterdam
Boltzmann L (1964) Lectures on gas theory. University of California, Berkeley, CA
Uhlenbeck GE, Ford GW (1963) Lectures in statistical mechanics. American Mathematical Society, Providence, RI
Cohen EGD (1968) The kinetic theory of dense gases. In: Cohen EGD (ed) Fundamental problems in statistical mechanics II. Wiley, New York, NY
Cohen EGD (1969) The kinetic theory of moderately dense gases. In: Hanley HJM (ed) Transport phenomena in fluids. Dekker, New York, NY
Dorfman JR (1981) In: Raveché HJ (ed). Perspectives in statistical physics. North-Holland, Amsterdam
Grabert H, Weidlich W (1974) Masterequation, H-theorem and stationary solution for coupled quantum systems. Zeitschrift für Physik 268:139–143
Grad H (1958) Principles of the kinetic theory of gases, vol 12, Handbuch der Physik. Springer, Berlin
Author information
Authors and Affiliations
Corresponding author
Rights 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
DOI: https://doi.org/10.1007/978-3-642-11546-2_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11545-5
Online ISBN: 978-3-642-11546-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)