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Published: 4 June 2021
Last updated: 30 January 2023

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1

Swanson, D. G. Plasma kinetic theory. Boca Raton, Fla: Taylor & Francis, 2008.

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2

Bonitz, Michael. Quantum Kinetic Theory. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24121-0.

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3

Albi, Giacomo, Sara Merino-Aceituno, Alessia Nota, and Mattia Zanella, eds. Trails in Kinetic Theory. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67104-4.

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4

Kauzmann, Walter. Kinetic theory of gases. Mineola, N.Y: Dover Publications, 2012.

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5

Tchen, C. M. Group-kinetic theory of turbulence. Huntsville, Ala: Marshall Space Flight Center, 1986.

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6

Eu, B. C. Kinetic theory and irreversible thermodynamics. New York: Wiley, 1992.

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7

Hecht, Charles E. Statistical thermodynamics and kinetic theory. Mineola, N.Y: Dover Publications, 1998.

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8

Hecht, Charles E. Statistical thermodynamics and kinetic theory. New York: W. H. Freeman, 1990.

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9

Bouchut, François. Kinetic equations and asymptotic theory. Paris: Gauthier-Villars, 2000.

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10

Cercignani, Carlo. Mathematical methods in kinetic theory. 2nd ed. New York: Plenum Press, 1990.

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11

Harrison, Lionel G. Kinetic theory of living pattern. Cambridge: Cambridge University Press, 1993.

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12

Sone, Yoshio. Kinetic Theory and Fluid Dynamics. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0061-1.

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13

Cercignani, C., ed. Kinetic Theory and Gas Dynamics. Vienna: Springer Vienna, 1988. http://dx.doi.org/10.1007/978-3-7091-2762-9.

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14

Cercignani, Carlo, and Ester Gabetta, eds. Transport Phenomena and Kinetic Theory. Boston, MA: Birkhäuser Boston, 2007. http://dx.doi.org/10.1007/978-0-8176-4554-0.

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15

Cercignani, Carlo. Mathematical Methods in Kinetic Theory. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-7291-0.

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16

Brilliantov, N. Kinetic theory of granular gases. Oxford: Oxford University Press, 2004.

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17

J, Pilling M., and Smith Ian W. M, eds. Modern gas kinetics: Theory, experiment, and application. Oxford [Oxfordshire]: Blackwell Scientific Publications, 1987.

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18

Gombosi, Tamás I. Gaskinetic theory. Cambridge [England]: Cambridge University Press, 1994.

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19

Bellomo, N. Mathematical topics in nonlinear kinetic theory. Singapore: World Scientific, 1988.

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20

Bernstein, Jeremy. Kinetic theory in the expanding universe. Cambridge: Cambridge University Press, 2004.

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21

Glassey, Robert. The Cauchy problem in kinetic theory. Philadelphia: Society for Industrial and Applied Mathematics, 1996.

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22

Bernstein, Jeremy. Kinetic theory in the expanding universe. Cambridge: Cambridge University Press, 1988.

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23

P. P. J. M. Schram. Kinetic Theory of Gases and Plasmas. Dordrecht: Springer Netherlands, 1991.

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24

Lasaga, A. C. Kinetic theory in the earth sciences. Princeton, N.J: Princeton University Press, 1998.

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25

Aylaj, Bouchra, Nicola Bellomo, Livio Gibelli, and Damián Knopoff. Crowd Dynamics by Kinetic Theory Modeling. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-031-02428-3.

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26

Schram, P. P. J. M. Kinetic Theory of Gases and Plasmas. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3612-9.

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27

Tartar, Luc. From Hyperbolic Systems to Kinetic Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-77562-1.

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28

Oxenius, Joachim. Kinetic Theory of Particles and Photons. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-70728-5.

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29

P. P. J. M. Schram. Kinetic theory of gases and plasmas. Dordrecht, The Netherlands: Kluwer Academic Publishers, 1991.

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30

Chapman, Sydney. The mathematical theory of non-uniform gases: An account of the kinetic theory of viscosity, thermal conduction, and diffusion in gases. 3rd ed. Cambridge: Cambridge University Press, 1990.

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31

Giering, Ulrich. Matching of kinetic and aerodynamic equations. Aachen: Shaker, 1995.

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32

Deruelle, Nathalie, and Jean-Philippe Uzan. Kinetic theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0010.

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Abstract:
This chapter covers the equations governing the evolution of particle distribution and relates the macroscopic thermodynamical quantities to the distribution function. The motion of N particles is governed by 6N equations of motion of first order in time, written in either Hamiltonian form or in terms of Poisson brackets. Thus, as this chapter shows, as the number of particles grows it becomes necessary to resort to a statistical description. The chapter first introduces the Liouville equation, which states the conservation of the probability density, before turning to the Boltzmann–Vlasov equation. Finally, it discusses the Jeans equations, which are the equations obtained by taking various averages over velocities.
33

Kyzas, George Z., and Athanasios C. Mitropoulos, eds. Kinetic Theory. InTech, 2018. http://dx.doi.org/10.5772/intechopen.68734.

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34

Kinetic Theory. New York: Springer-Verlag, 2003. http://dx.doi.org/10.1007/b97467.

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35

Bonitz, Michael. Quantum Kinetic Theory. Springer, 2015.

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36

Bonitz, Michael. Quantum Kinetic Theory. Springer, 2016.

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37

Swanson, Donald Gary, and D. G. Swanson. Plasma Kinetic Theory. Taylor & Francis Group, 2008.

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38

Bonitz, Michael. Quantum Kinetic Theory. Springer, 2015.

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39

Swanson, Donald Gary. Plasma Kinetic Theory. Chapman and Hall/CRC, 2008. http://dx.doi.org/10.1201/b15901.

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40

Morawetz, Klaus. Classical Kinetic Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0003.

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The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.
41

Succi, Sauro. Boltzmann’s Kinetic Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0002.

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Abstract:
Kinetic theory is the branch of statistical physics dealing with the dynamics of non-equilibrium processes and their relaxation to thermodynamic equilibrium. Established by Ludwig Boltzmann (1844–1906) in 1872, his eponymous equation stands as its mathematical cornerstone. Originally developed in the framework of dilute gas systems, the Boltzmann equation has spread its wings across many areas of modern statistical physics, including electron transport in semiconductors, neutron transport, quantum-relativistic fluids in condensed matter and even subnuclear plasmas. In this Chapter, a basic introduction to the Boltzmann equation in the context of classical statistical mechanics shall be provided.
42

Swanson, Donald Gary. Plasma Kinetic Theory. Taylor & Francis Group, 2008.

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43

Swanson, Donald Gary. Plasma Kinetic Theory. Taylor & Francis Group, 2008.

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44

Ruckenstein, Eli, and Gersh Berim. Kinetic Theory of Nucleation. Taylor & Francis Group, 2016.

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45

Ruckenstein, Eli, and Gersh Berim. Kinetic Theory of Nucleation. Taylor & Francis Group, 2016.

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46

Brush, S. G., and D. Ter Haar. Kinetic Theory: Irreversible Processes. Elsevier Science & Technology Books, 2016.

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47

Ruckenstein, Eli, and Gersh Berim. Kinetic Theory of Nucleation. CRC Press, 2016. http://dx.doi.org/10.1201/b21644.

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48

Kook, Professor Ima. Kinetic Theory of Gases. Abique Books, 2002.

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49

Ruckenstein, Eli, and Gersh Berim. Kinetic Theory of Nucleation. Taylor & Francis Group, 2016.

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50

Ruckenstein, Eli, and Gersh Berim. Kinetic Theory of Nucleation. Taylor & Francis Group, 2016.

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