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1

Cornely-Moss, Kathleen. "Kinetic Theory of Gases." Journal of Chemical Education 72, no. 8 (August 1995): 715. http://dx.doi.org/10.1021/ed072p715.

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2

Trizac, Emmanuel. "Kinetic Theory of Granular Gases." Journal of Physics A: Mathematical and General 38, no. 47 (November 9, 2005): 10257–58. http://dx.doi.org/10.1088/0305-4470/38/47/b01.

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3

Khachatryan, A. Kh, T. H. Sardaryan, and Kh A. Khachatryan. "On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases." Zurnal matematiceskoj fiziki, analiza, geometrii 10, no. 3 (September 25, 2014): 320–27. http://dx.doi.org/10.15407/mag10.03.320.

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4

Gaveau, B., and L. S. Schulman. "Reconciling Kinetic and Quantum Theory." Foundations of Physics 50, no. 2 (January 2, 2020): 55–60. http://dx.doi.org/10.1007/s10701-019-00317-4.

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5

MATUDA, Namio. "Basic Concepts to Kinetic Theory of Gases." Journal of the Vacuum Society of Japan 56, no. 6 (2013): 199–203. http://dx.doi.org/10.3131/jvsj2.56.199.

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6

de Regt, Henk W. "Philosophy and the Kinetic Theory of Gases." British Journal for the Philosophy of Science 47, no. 1 (March 1, 1996): 31–62. http://dx.doi.org/10.1093/bjps/47.1.31.

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7

Noskowicz, S. H., O. Bar-Lev, D. Serero, and I. Goldhirsch. "Computer-aided kinetic theory and granular gases." Europhysics Letters (EPL) 79, no. 6 (August 7, 2007): 60001. http://dx.doi.org/10.1209/0295-5075/79/60001.

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8

Cercignani, Carlo. "Book Review: Kinetic Theory of Granular Gases." Journal of Statistical Physics 118, no. 5-6 (March 2005): 1263–64. http://dx.doi.org/10.1007/s10955-004-2116-8.

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9

Kremer, G. M. "On the kinetic theory of relativistic gases." Continuum Mechanics and Thermodynamics 9, no. 1 (February 1997): 13–21. http://dx.doi.org/10.1007/s001610050052.

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10

Pavić-Čolić, Milana, and Srboljub Simić. "Six-Field Theory for a Polyatomic Gas Mixture: Extended Thermodynamics and Kinetic Models." Fluids 7, no. 12 (December 9, 2022): 381. http://dx.doi.org/10.3390/fluids7120381.

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Polyatomic gases may be characterized by internal molecular degrees of freedom. As a consequence, at a macroscopic level, dynamic pressure appears, which may be related to the bulk viscosity of the gas. Inspired by the models of a single polyatomic gas with six fields, developed within rational extended thermodynamics (RET) and the kinetic theory of gases, this paper presents a six-field theory for the mixture of polyatomic gases. First, the macroscopic mixture model is developed within the framework of RET. Second, the mixture of gases with six fields is analyzed in the context of the kinetic theory of gases, and corresponding moment equations are derived. Finally, complete closure of the RET model, i.e., computation of the phenomenological coefficients, is achieved by means of a combined macroscopic/kinetic closure procedure.
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11

Yusal, Yulianti, Andi Suhandi, Wawan Setiawan, and Ida Kaniawati. "Peningkatan Level Pemahaman Konsep Teori Kinetik Gas Mahasiswa Calon Guru Fisika Melalui Metode Demontrasi Interaktif dengan Bantuan Ragam Media Visual." JIPFRI (Jurnal Inovasi Pendidikan Fisika dan Riset Ilmiah) 5, no. 1 (July 10, 2021): 27–32. http://dx.doi.org/10.30599/jipfri.v5i1.943.

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The research on increasing the level of understanding of the kinetic theory of gases concepts for prospective physics teacher students through interactive demonstration methods with the help of a variety of visual media has been carried out. This study aims to determine the increase in the level of students’ understanding of the kinetic theory of gases concept through interactive demonstration methods with the help of various visual media. The method used was pre-experimental with one group pretest-posttest design. The research subjects were 76 prospective physics teacher students at a university in the city of Makassar, South Sulawesi. The test instrument used was a concept understanding level test in the form of an essay consisted of three questions. The results showed that most of the students reached a complete understanding level of the kinetic theory of gases after attending a basic physics course through interactive demonstration methods with the help of various visual media. Thus, the level of students’ understanding of kinetic theory of gases concept has increased through interactive demonstration methods with the help of various visual media.
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12

Cercignani, Carlo. "Mathematical problems in the kinetic theory of gases." Banach Center Publications 15, no. 1 (1985): 97–159. http://dx.doi.org/10.4064/-15-1-97-159.

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13

Bryan, Ronald. "Avogadro’s number and the kinetic theory of gases." Physics Teacher 38, no. 2 (February 2000): 106–9. http://dx.doi.org/10.1119/1.880439.

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14

Beck, József. "FOURIER ANALYSIS AND THE KINETIC THEORY OF GASES." Mathematika 58, no. 1 (December 16, 2011): 93–208. http://dx.doi.org/10.1112/s0025579311001896.

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15

Struminskii, V. V. "The kinetic theory of gases in dispersed media." Journal of Applied Mathematics and Mechanics 50, no. 6 (January 1986): 706–11. http://dx.doi.org/10.1016/0021-8928(86)90077-8.

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16

Beck, József. "Deterministic Approach to the Kinetic Theory of Gases." Journal of Statistical Physics 138, no. 1-3 (December 1, 2009): 160–269. http://dx.doi.org/10.1007/s10955-009-9871-5.

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17

Ness, K. F., and R. E. Robson. "Interaction integrals in the kinetic theory of gases." Transport Theory and Statistical Physics 14, no. 3 (August 1985): 257–90. http://dx.doi.org/10.1080/00411458508211678.

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18

Kunhardt, E. E. "Macro-kinetic theory of electron transport in gases." Transport Theory and Statistical Physics 20, no. 2-3 (April 1991): 99–137. http://dx.doi.org/10.1080/00411459108203899.

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19

Cohen, E. G. D. "Bogolubov and Kinetic Theory: The Bogolubov Equations." Mathematical Models and Methods in Applied Sciences 07, no. 07 (November 1997): 909–33. http://dx.doi.org/10.1142/s0218202597000463.

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A short survey is given of Bogolubov's fundamental contributions to the kinetic theory of classical neutral gases and plasmas. This work is then placed in the context of later developments, showing its influence till the present day.
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20

MUKHERJEE, A. K. "A kinetic theory model for rain out and wash out of soluble gaseous air pollutants." MAUSAM 42, no. 2 (February 28, 2022): 151–54. http://dx.doi.org/10.54302/mausam.v42i2.3063.

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A new theory, using kinetic theory of gases, for dissolution of gaseous air pollutants and applicable both for wash out and rain out processes has been proposed. It has been shown that the current theory of wash out of gases given by Hales (1972) is a special case of the general theory proposed here.
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21

Kügerl, Georg, and Ferdinand Schürrer. "The PN Method in the Kinetic Theory of Gases." Zeitschrift für Naturforschung A 47, no. 9 (September 1, 1992): 925–34. http://dx.doi.org/10.1515/zna-1992-0901.

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Abstract An expansion of the velocity distribution function in a series of spherical harmonics is used to transform the nonlinear Boltzmann equation into a system of moment equations. The close connection between the moment equations of zeroth and first order with the transport equations for mass, momentum and energy is pointed out. By comparing the order of magnitude of the various moments it is shown that the P2 approximation is adequate for systems with small mean free path. Simplifications of the collision terms of the moment equations are discussed, where attention is payed to the conservation laws and the H theorem
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22

Hu, Shouchuan, Mohammad Khavanin, and WAN Zhuang. "Integral equations arising in the kinetic theory of gases." Applicable Analysis 34, no. 3-4 (January 1989): 261–66. http://dx.doi.org/10.1080/00036818908839899.

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23

Zhdanov, V. M., and Vyacheslav I. Roldugin. "Non-equilibrium thermodynamics and kinetic theory of rarefied gases." Uspekhi Fizicheskih Nauk 168, no. 4 (1998): 407. http://dx.doi.org/10.3367/ufnr.0168.199804b.0407.

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24

Zhdanov, V. M., and Vyacheslav I. Roldugin. "Non-equilibrium thermodynamics and kinetic theory of rarefied gases." Physics-Uspekhi 41, no. 4 (April 30, 1998): 349–78. http://dx.doi.org/10.1070/pu1998v041n04abeh000383.

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25

Putri, E. E. R., Sukarmin, and Cari. "Profile of student’s understanding in Kinetic Theory of Gases." Journal of Physics: Conference Series 1006 (April 2018): 012008. http://dx.doi.org/10.1088/1742-6596/1006/1/012008.

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26

Alekseyev, B. V. "Hydrodynamic equations in the kinetic theory of reacting gases." USSR Computational Mathematics and Mathematical Physics 27, no. 3 (January 1987): 57–64. http://dx.doi.org/10.1016/0041-5553(87)90080-2.

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27

Ferreira, C. M., B. F. Gordiets, and E. Tatarova. "Kinetic theory of low-temperature plasmas in molecular gases." Plasma Physics and Controlled Fusion 42, no. 12B (December 1, 2000): B165—B188. http://dx.doi.org/10.1088/0741-3335/42/12b/313.

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28

Cercignani, Carlo, Maria Lampis, and Andrea Lentati. "A new scattering kernel in kinetic theory of gases." Transport Theory and Statistical Physics 24, no. 9 (November 1995): 1319–36. http://dx.doi.org/10.1080/00411459508206026.

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29

Pfeffer, Jeremy I. "An alternative derivation of the kinetic theory of gases." Physics Education 34, no. 4 (July 1999): 237–39. http://dx.doi.org/10.1088/0031-9120/34/4/313.

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30

Eu, Byung Chan, and Kefei Mao. "Quantum kinetic theory of irreversible thermodynamics: Low-density gases." Physical Review E 50, no. 6 (December 1, 1994): 4380–98. http://dx.doi.org/10.1103/physreve.50.4380.

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31

Cole, R. G., D. R. Evans, and D. K. Hoffman. "A renormalized kinetic theory of dilute molecular gases: Chattering." Journal of Chemical Physics 82, no. 4 (February 15, 1985): 2061–70. http://dx.doi.org/10.1063/1.448341.

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32

Purwanto, M. G., S. Gitnita, V. R. Riani, A. Devialita, A. Nurjanah, D. Hendriyani, A. Suhandi, and A. Samsudin. "Gases Theory Representation Instrument (GeTRI): A Practical Tool To Analyze Sundanese Students’ Conception in the COVID-19 Pandemic." Journal of Physics: Conference Series 2098, no. 1 (November 1, 2021): 012016. http://dx.doi.org/10.1088/1742-6596/2098/1/012016.

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Abstract This research purposes to promote a Gases Theory Representation Instrument (GTRI) as a tool to identify the students’ conception on kinetic theory of gases. The method used in this research was FODEM (Formative Development Methods) model which has three comprehensive steps, which are need analysis, implementation, and formative evaluation. The participants involved in this research were 26 high school students in Sundanese tribe. The students’ responses were analyzed using Rasch model, which involved item reliability, person reliability, validity, difficulty level and students’ conception distributions. Students’ conception were classified into six categories which are Sound Understanding (SU), Partial Positive (PP), Partial Negative (PN), Misconception (MC), No Understanding (NU), and No Coding (NC). Based on the data analysis, it can be concluded that students’ conception are typically in the SU and PP categories. Besides, the Gases Theory Representation Instrument (GTRI) is reliable and valid to identify students’ conception on kinetic theory of gases.
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33

Anisimova, I. V., and A. V. Ignat'ev. "On the Theory of Determining the Transport Characteristics of Gas Mixtures." Materials Science Forum 992 (May 2020): 823–27. http://dx.doi.org/10.4028/www.scientific.net/msf.992.823.

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The paper considers the identification of properties of real gases and creation of nanomaterials on the basis of molecular and kinetic theory of gases, namely the Boltzmann equation. The collision term of the Boltzmann equation is used in the algorithm for the identification of transport properties of media. The article analyses the uniform convergence of improper integrals in the collision term of the Boltzmann equation depending on the conditions for the connection between the kinetic and potential energy of interacting molecules. This analysis allows to soundly identify the transport coefficient in macro equations of heat and mass transfer.
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34

Priane, W. T., F. C. Wibowo, and M. Delina. "Design of Massive Online Simulation (MOS) on kinetic theory of gases." Journal of Physics: Conference Series 2019, no. 1 (October 1, 2021): 012021. http://dx.doi.org/10.1088/1742-6596/2019/1/012021.

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Abstract The purpose of this study was to design a Massive Online Simulation (MOS) to describe the behavior of gas particles to make it easier for students to understand the microscopic kinetic theory of gases. This research is a type of development research (Research and Development) with the ADDIE model consisting of analysis (analysis), design (design), development (develop), implementation (implement) and evaluation (evaluate). But, in this study, researchers only use the initial stage is the stage of an analysis and d design. The result of this research is the design of Massive Online Simulation (MOS) learning media on a gas kinetic theory which discusses monatomic, diatomic and polyatomic sub-materials, in which there is a main display menu, start menu, material menu, simulation menu and quiz menu that can be used. Students for learning the kinetic theory of gases.
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35

Samsudin, Achmad, Nurul Azizah, Nuzulira Janeusse Fratiwi, Andi Suhandi, Irwandani Irwandani, Muhammad Nurtanto, Muhamad Yusup, et al. "Development of DIGaKiT: identifying students’ alternative conceptions by Rasch analysis model." Journal of Education and Learning (EduLearn) 18, no. 1 (February 1, 2024): 128–39. http://dx.doi.org/10.11591/edulearn.v18i1.20970.

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Alternative conceptions become obstacles in physics. However, it is difficult to find instruments that can identify students' alternative conceptions, especially in gases kinetic theory (DIGaKiT). The purpose of this research was to development of diagnostic instrument of DIGaKiT in identifying students’ alternative conceptions by Rasch analysis model. The research method used the defining, designing, developing, and disseminating (4D). The samples are 31 students (12 male students and 19 female students, their ages were typically 16 years old) at one of the senior high schools at Belitung. Rasch analysis was used to identify the validity, reliability, and distribution of students' alternative conceptions. The result is that the level of validity and reliability of the instrument is in a good category. Meanwhile, alternative conceptions of the kinetic theory of gases can be identified in all questions, and the questions with the highest alternative conceptions are questions with code Q11 (77%) and the lowest are questions with codes Q1, Q5, and Q6 (4%). Therefore, teachers must design learning processes that can reduce students’ alternative conceptions of the kinetic theory of gases material.
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36

Pareschi, Lorenzo, and Giuseppe Toscani. "The Kinetic Theory of Mutation Rates." Axioms 12, no. 3 (March 3, 2023): 265. http://dx.doi.org/10.3390/axioms12030265.

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The Luria–Delbrück mutation model is a cornerstone of evolution theory and has been mathematically formulated in a number of ways. In this paper, we illustrate how this model of mutation rates can be derived by means of classical statistical mechanics tools—in particular, by modeling the phenomenon resorting to methodologies borrowed from classical kinetic theory of rarefied gases. The aim is to construct a linear kinetic model that can reproduce the Luria–Delbrück distribution starting from the elementary interactions that qualitatively and quantitatively describe the variations in mutated cells. The kinetic description is easily adaptable to different situations and makes it possible to clearly identify the differences between the elementary variations, leading to the Luria–Delbrück, Lea–Coulson, and Kendall formulations, respectively. The kinetic approach additionally emphasizes basic principles which not only help to unify existing results but also allow for useful extensions.
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37

Konopka, P., J. Schröter, and R. Wegener. "Kinetic Theory and Correlational Thermodynamics for Gases with Charged Particles." Materials Science Forum 123-125 (January 1993): 79–88. http://dx.doi.org/10.4028/www.scientific.net/msf.123-125.79.

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38

Nurhuda, T., D. Rusdiana, and W. Setiawan. "Analyzing Students’ Level of Understanding on Kinetic Theory of Gases." Journal of Physics: Conference Series 812 (February 2017): 012105. http://dx.doi.org/10.1088/1742-6596/812/1/012105.

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39

Brito, R., and M. H. Ernst. "Ring kinetic theory for tagged-particle problems in lattice gases." Physical Review A 46, no. 2 (July 1, 1992): 875–87. http://dx.doi.org/10.1103/physreva.46.875.

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40

Alekseev, Boris V. "Physical principles of the generalized Boltzmann kinetic theory of gases." Physics-Uspekhi 43, no. 6 (June 30, 2000): 601–29. http://dx.doi.org/10.1070/pu2000v043n06abeh000694.

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41

Alekseev, Boris V. "Physical principles of the generalized Boltzmann kinetic theory of gases." Uspekhi Fizicheskih Nauk 170, no. 6 (2000): 649. http://dx.doi.org/10.3367/ufnr.0170.200006d.0649.

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42

Miller, Foil A. "Some stamps related to the kinetic molecular theory of gases." Journal of Chemical Education 63, no. 8 (August 1986): 685. http://dx.doi.org/10.1021/ed063p685.

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43

Nowakowski, B., and E. Ruckenstein. "A kinetic approach to the theory of nucleation in gases." Journal of Chemical Physics 94, no. 2 (January 15, 1991): 1397–402. http://dx.doi.org/10.1063/1.459997.

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44

Illner, Reinhard, and Helmut Neunzert. "The concept of irreversibility in the kinetic theory of gases." Transport Theory and Statistical Physics 16, no. 1 (February 1987): 89–112. http://dx.doi.org/10.1080/00411458708204298.

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45

Alves, Giselle M., and G. M. Kremer. "Kinetic theory for binary mixtures of monatomic and polyatomic gases." Physica A: Statistical Mechanics and its Applications 192, no. 1-2 (January 1993): 63–84. http://dx.doi.org/10.1016/0378-4371(93)90144-s.

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46

Rossani, A., and G. Spiga. "A note on the kinetic theory of chemically reacting gases." Physica A: Statistical Mechanics and its Applications 272, no. 3-4 (October 1999): 563–73. http://dx.doi.org/10.1016/s0378-4371(99)00336-2.

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47

DARBHA, SWAROOP, and K. R. RAJAGOPAL. "LIMIT OF A COLLECTION OF DYNAMICAL SYSTEMS: AN APPLICATION TO MODELING THE FLOW OF TRAFFIC." Mathematical Models and Methods in Applied Sciences 12, no. 10 (October 2002): 1381–99. http://dx.doi.org/10.1142/s0218202502002161.

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The flow of traffic is usually described using a continuum approach as that of a compressible fluid, a statistical approach via the kinetic theory of gases or cellular automata models. These approaches are not suitable for modeling dynamical systems such as traffic. While such systems are large collections, they are not large enough to be treated as a continuum. We provide a rationale for why they cannot be appropriately described using a continuum model, the kinetic theory of gases, or by appealing to cellular automata models. As an alternative, we develop a discrete dynamical systems approach that is particularly well suited to describe the dynamics of large systems such as traffic.
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48

Zhang, Chaojie, Chen-Kang Huang, Ken A. Marsh, Chris E. Clayton, Warren B. Mori, and Chan Joshi. "Ultrafast optical field–ionized gases—A laboratory platform for studying kinetic plasma instabilities." Science Advances 5, no. 9 (September 2019): eaax4545. http://dx.doi.org/10.1126/sciadv.aax4545.

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Kinetic instabilities arising from anisotropic electron velocity distributions are ubiquitous in ionospheric, cosmic, and terrestrial plasmas, yet there are only a handful of experiments that purport to validate their theory. It is known that optical field ionization of atoms using ultrashort laser pulses can generate plasmas with known anisotropic electron velocity distributions. Here, we show that following the ionization but before collisions thermalize the electrons, the plasma undergoes two-stream, filamentation, and Weibel instabilities that isotropize the electron distributions. The polarization-dependent frequency and growth rates of these kinetic instabilities, measured using Thomson scattering of a probe laser, agree well with the kinetic theory and simulations. Thus, we have demonstrated an easily deployable laboratory platform for studying kinetic instabilities in plasmas.
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49

Escobedo, Miguel, Stephane Mischler, and Manuel A. Valle. "Homogeneous Boltzmann equation in quantum relativistic kinetic theory." Electronic Journal of Differential Equations 1, Mon. 01-09 (January 20, 2003): 04. http://dx.doi.org/10.58997/ejde.mon.04.

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We consider some mathematical questions about Boltzmann equations for quantum particles, relativistic or non relativistic. Relevant particular cases such as Bose, Bose-Fermi, and photon-electron gases are studied. We also consider some simplifications such as the isotropy of the distribution functions and the asymptotic limits (systems where one of the species is at equilibrium). This gives rise to interesting mathematical questions from a physical point of view. New results are presented about the existence and long time behaviour of the solutions to some of these problems.
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50

Kawamura, K., J. P. Severinghaus, M. R. Albert, Z. R. Courville, M. A. Fahnestock, T. Scambos, E. Shields, and C. A. Shuman. "Kinetic fractionation of gases by deep air convection in polar firn." Atmospheric Chemistry and Physics Discussions 13, no. 3 (March 15, 2013): 7021–59. http://dx.doi.org/10.5194/acpd-13-7021-2013.

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Abstract. A previously unrecognized type of gas fractionation occurs in firn air columns subjected to intense convection. It is a form of kinetic fractionation that depends on the fact that different gases have different molecular diffusivities. Convective mixing continually disturbs diffusive equilibrium, and gases diffuse back toward diffusive equilibrium under the influence of gravity and thermal gradients. In near-surface firn where convection and diffusion compete as gas transport mechanisms, slow-diffusing gases such as krypton and xenon are more heavily impacted by convection than fast diffusing gases such as nitrogen and argon, and the signals are preserved in deep firn and ice. We show a simple theory that predicts this kinetic effect, and the theory is confirmed by observations of stable gas isotopes from the Megadunes field site on the East Antarctic plateau. Numerical simulations confirm the effect's magnitude at this site. A main purpose of this work is to support the development of a proxy indicator of past convection in firn, for use in ice-core gas records. To this aim, we also show with the simulations that the magnitude of kinetic effect is fairly insensitive to the exact profile of convective strength, if the overall thickness of convective zone is kept constant.
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