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1

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

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2

Swanson, D. G. Plasma kinetic theory. Taylor & Francis, 2008.

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3

Albi, Giacomo, Sara Merino-Aceituno, Alessia Nota, and Mattia Zanella, eds. Trails in Kinetic Theory. 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. Dover Publications, 2012.

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5

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

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6

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

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7

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

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8

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

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9

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

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10

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

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11

1963-, Pöschel Thorsten, ed. Kinetic theory of granular gases. Oxford University Press, 2004.

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12

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

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13

United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch and George C. Marshall Space Flight Center, eds. Group-kinetic theory of turbulence. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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14

United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch and George C. Marshall Space Flight Center, eds. Group-kinetic theory of turbulence. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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15

Carlo, Cercignani, ed. Kinetic theory and gas dynamics. Springer, 1988.

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16

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

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17

United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch. and George C. Marshall Space Flight Center., eds. Group-kinetic theory of turbulence. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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18

United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch. and George C. Marshall Space Flight Center., eds. Group-kinetic theory of turbulence. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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19

Hecht, Charles E. Statistical thermodynamics and kinetic theory. Dover Publications, 1998.

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20

Gombosi, Tamás I. Gaskinetic theory. Cambridge University Press, 1994.

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21

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

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22

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

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23

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

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24

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

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25

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

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26

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

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27

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

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28

Barbante, Paolo, Francesco D. Belgiorno, Silvia Lorenzani, and Lorenzo Valdettaro, eds. From Kinetic Theory to Turbulence Modeling. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-6462-6.

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29

A, Palczewski, and Toscani Giuseppe, eds. Mathematical topics in nonlinear kinetic theory. World Scientific, 1988.

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30

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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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 equ
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31

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

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32

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

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33

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

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34

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 stat
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35

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

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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 int
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36

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

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37

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

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38

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

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39

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

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40

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

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41

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

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42

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

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43

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

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44

Kinetic Theory of Nucleation. Taylor & Francis Group, 2016.

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45

Brush, Stephen G., and D. ter Haar. Irreversible Processes: Kinetic Theory. Elsevier Science & Technology Books, 2013.

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46

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

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47

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

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48

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

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49

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

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50

Brilliantov, Nikolai, and Thorsten Poschel. Kinetic Theory of Granular Gases. Oxford University Press, 2004.

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