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1

A, Wakeham W., and Ho C. Y. 1928-, eds. Transport properties of fluids: Thermal conductivity, viscosity, and diffusion coefficient. Hemisphere Pub. Corp., 1988.

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2

Townsend, Lawrence W. An evaluation of energy-independent heavy ion transport coefficient approximations. National Aeronautics and Space Administration?, 1988.

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3

Townsend, Lawrence W. An evaluation of energy-independent heavy ion transport coefficient approximations. National Aeronautics and Space Administration?, 1988.

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4

Townsend, Lawrence W. An evaluation of energy-independent heavy ion transport coefficient approximations. National Aeronautics and Space Administration?, 1988.

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5

Townsend, Lawrence W. An assessment of transport coefficient approximations used in galactic heavy ion shielding calculations. National Aeronautics and Space Administration, Langley Research Center, 1986.

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6

Myers, Tommy E. Application of a semianalytical model to TNT transport in laboratory soil columns. U.S. Army Engineer Waterways Experiment Station, 1998.

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7

Foster, John E. Inter-cusp ion and electron transport in a NSTAR-derivative ion thruster. National Aeronautics and Space Administration, Glenn Research Center, 2001.

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8

Foster, John E. Inter-cusp ion and electron transport in a NSTAR-derivative ion thruster. National Aeronautics and Space Administration, Glenn Research Center, 2001.

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9

Foster, John E. Inter-cusp ion and electron transport in a NSTAR-derivative ion thruster. National Aeronautics and Space Administration, Glenn Research Center, 2001.

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10

Foster, John E. Inter-cusp ion and electron transport in a NSTAR-derivative ion thruster. National Aeronautics and Space Administration, Glenn Research Center, 2001.

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11

Rubinstein, Robert. Transport coefficients in weakly compressible turbulence. National Aeronautics Space Administration, Langley Research Center, 1996.

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12

Torres-Rincon, Juan M. Hadronic Transport Coefficients from Effective Field Theories. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00425-9.

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13

Svehla, Roger A. Transport coefficients for the NASA Lewis chemical equilibrium program. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1995.

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14

Svehla, Roger A. Transport coefficients for the NASA Lewis chemical equilibrium program. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1995.

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15

Yaws, Carl L. Handbook of transport property data: Viscosity, thermal conductivity, and diffusion coefficients of liquids and gases. Gulf Pub. Co., 1995.

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16

Aral, M. M. Analytical solutions for two-dimensional transport equation with time-dependent dispersion coefficients. Multimedia Environmental Simulations Laboratory, School of Civil and Environmental Engineering, Georgia Institute of Technology, 1996.

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17

Robson, R. E. Transport coefficients of an additive in a fluid in the presence of reactive effects. Physics Dept., James Cook University of North Queensland, 1991.

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18

Aseev, G. G. Electrolytes, transport phenomena: Methods for calculation of multicomponent solutions and experimental data on viscosities and diffusion coefficients. Begell House, 1998.

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19

Rubinstein, Robert. Transport coefficients in rotating weakly compressible turbulence: Under contracts NAS1-19480 & NAS1-97046. National Aeronautics and Space Administration, Langley Research Center, 1998.

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20

Butow, E. Approach to model transport of contaminants including geochemical processes: Dependence of sorption coefficients on geochemical surrounding. International Association of Hydrological Sciences, 1990.

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21

Handbook of structural and mechanical matrices: Definitions, transport matrices, stiffness matrices, finite differences, finite elements, graphs and tables of matrix coefficients. McGraw-Hill, 1988.

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22

W, Wilson J., and United States. National Aeronautics and Space Administration., eds. An evaluation of energy-independent heavy ion transport coefficient approximations. National Aeronautics and Space Administration?, 1988.

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23

Thibodeaux, Louis J., and Donald Mackay. Handbook of Chemical Mass Transport in the Environment. Taylor & Francis Group, 2010.

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24

(Editor), Louis J. Thibodeaux, and Donald Mackay (Editor), eds. Handbook of Estimation Methods for Chemical Mass Transport in the Environment. CRC, 2008.

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25

Eu, Byung Chan. Transport Coefficients of Fluids. Springer, 2010.

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26

Transport Coefficients of Fluids. Springer, 2006.

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27

Transport Coefficients of Fluids. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-28216-5.

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28

M, Rovira, Fontan C. Pero, and United States. National Aeronautics and Space Administration., eds. Consistent transport coefficients in astrophysics. National Aeronautics and Space Administration, 1988.

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29

Sanford, Gordon, Reno Martin A, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. Coefficients for calculating thermodynamic and transport properties. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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30

Torres-Rincon, Juan M. Hadronic Transport Coefficients from Effective Field Theories. Springer, 2013.

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31

Succi, Sauro. Transport Phenomena. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0004.

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The previous Chapter presented a discussion of the notion of local and global equilibria and shown that these equilibria represent the special forms taken by the distribution function once direct and inverse collisions come into balance. This Chapter provides an elementary introduction to transport phenomena and discusses their intimate relation to non-equilibrium processes at the microscopic scale. In particular it shall deal with the connection between the transport coefficients, such as mass, momentum and energy diffusivity with the molecular mean free path, namely the distance traveled by a representative molecules between two subsequent collisions. The discussion also highlights the fundamental role of inhomogeneity in fueling non-equilibrium processes.
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32

Isett, Philip. Bounds for Coefficients from the Stress Equation. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0020.

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This chapter estimates the bounds for coefficients from the Stress equation. It starts by considering the coefficients γ‎subscript I and the equation that implicitly defines it. It then estimates the derivatives of γ‎subscript I by differentiating the equation. The first transport derivative always costs a factor Ξ‎eᵥ½ in the estimates, and each spatial derivative costs a factor of Ξ‎ until the total order of differentiation exceeds L, at which point one obtains a larger cost of Nsuperscript 1/LΞ‎ per derivative. The chapter also considers the bounds satisfied by the coefficients γ‎subscript I and shows that the final bound for the coefficients γ‎subscript I is exactly the same quality as the corresponding bound for ε‎.
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33

United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., ed. Coefficients for calculating thermodynamic and transport properties of individual species. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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34

United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., ed. Coefficients for calculating thermodynamic and transport properties of individual species. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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35

Succi, Sauro. Generalized Hydrodynamics Beyond Navier–Stokes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0006.

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The work of Chapman and Enskog opened a long period, lasting about three decades, in which most of the activity in kinetic theory was directed to the computation of the transport coefficients for different types of intermolecular potentials. Seeking the solution of the full Boltzmann equation itself was not much in focus, mostly on account of its daunting complexity. This situation took a sharp turn in 1949, with the publication of Harold Grad’s thesis. This Chapter presents the derivation of generalized hydrodynamics beyond the realm of the Navier-Stokes description, with special reference to Grad’s thirteen-moment formulation.
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36

Allen, Michael P., and Dominic J. Tildesley. How to analyse the results. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0008.

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In this chapter, practical guidance is given on the calculation of thermodynamic, structural, and dynamical quantities from simulation trajectories. Program examples are provided to illustrate the calculation of the radial distribution function and a time correlation function using the direct and fast Fourier transform methods. There is a detailed discussion of the calculation of statistical errors through the statistical inefficiency. The estimation of the error in equilibrium averages, fluctuations and in time correlation functions is discussed. The correction of thermodynamic averages to neighbouring state points is described along with the extension and extrapolation of the radial distribution function. The calculation of transport coefficients by the integration of the time correlation function and through the Einstein relation is discussed.
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37

Deruelle, Nathalie, and Jean-Philippe Uzan. Curvilinear coordinates. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0003.

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This chapter presents a discussion on curvilinear coordinates in line with the introduction on Cartesian coordinates in Chapter 1. First, the chapter introduces a new system C of curvilinear coordinates xⁱ = xⁱ(Xj) (also sometimes referred to as Gaussian coordinates), which are nonlinearly related to Cartesian coordinates. It then introduces the components of the covariant derivative, before considering parallel transport in a system of curvilinear coordinates. Next, the chapter shows how connection coefficients of the covariant derivative as well as the Euclidean metric can be related to each other. Finally, this chapter turns to the kinematics of a point particle as well as the divergence and Laplacian of a vector and the Levi-Civita symbol and the volume element.
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38

P, Hugovieux, Selvaginni R, and United States. National Aeronautics and Space Administration., eds. Recent progress in the measurement of the drag coefficients of transport aircraft in a wind tunnel. National Aeronautics and Space Administration, 1987.

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39

Renormalization group estimates of transport coefficients in the advection of a passive scalar by incompressible turbulence. National Aeronautics and Space Administration, Langley Research Center, 1993.

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40

George, Vahala, and Langley Research Center, eds. Renormalization group estimates of transport coefficients in the advection of a passive scalar by incompressible turbulence. National Aeronautics and Space Administration, Langley Research Center, 1993.

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41

Newnham, Robert E. Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.001.0001.

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Crystals are sometimes called 'Flowers of the Mineral Kingdom'. In addition to their great beauty, crystals and other textured materials are enormously useful in electronics, optics, acoustics and many other engineering applications. This richly illustrated text describes the underlying principles of crystal physics and chemistry, covering a wide range of topics and illustrating numerous applications in many fields of engineering using the most important materials today. Tensors, matrices, symmetry and structure-property relationships form the main subjects of the book. While tensors and matrices provide the mathematical framework for understanding anisotropy, on which the physical and chemical properties of crystals and textured materials often depend, atomistic arguments are also needed to quantify the property coefficients in various directions. The atomistic arguments are partly based on symmetry and partly on the basic physics and chemistry of materials. After introducing the point groups appropriate for single crystals, textured materials and ordered magnetic structures, the directional properties of many different materials are described: linear and nonlinear elasticity, piezoelectricity and electrostriction, magnetic phenomena, diffusion and other transport properties, and both primary and secondary ferroic behavior. With crystal optics (its roots in classical mineralogy) having become an important component of the information age, nonlinear optics is described along with the piexo-optics, magneto-optics, and analogous linear and nonlinear acoustic wave phenomena. Enantiomorphism, optical activity, and chemical anisotropy are discussed in the final chapters of the book.
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42

Tiwari, Sandip. Semiconductor Physics. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198759867.001.0001.

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A graduate-level text, Semiconductor physics: Principles, theory and nanoscale covers the central topics of the field, together with advanced topics related to the nanoscale and to quantum confinement, and integrates the understanding of important attributes that go beyond the conventional solid-state and statistical expositions. Topics include the behavior of electrons, phonons and photons; the energy and entropic foundations; bandstructures and their calculation; the behavior at surfaces and interfaces, including those of heterostructures and their heterojunctions; deep and shallow point perturbations; scattering and transport, including mesoscale behavior, using the evolution and dynamics of classical and quantum ensembles from a probabilistic viewpoint; energy transformations; light-matter interactions; the role of causality; the connections between the quantum and the macroscale that lead to linear responses and Onsager relationships; fluctuations and their connections to dissipation, noise and other attributes; stress and strain effects in semiconductors; properties of high permittivity dielectrics; and remote interaction processes. The final chapter discusses the special consequences of the principles to the variety of properties (consequences of selection rules, for example) under quantum-confined conditions and in monolayer semiconductor systems. The text also bring together short appendices discussing transform theorems integral to this study, the nature of random processes, oscillator strength, A and B coefficients and other topics important for understanding semiconductor behavior. The text brings the study of semiconductor physics to the same level as that of the advanced texts of solid state by focusing exclusively on the equilibrium and off-equilibrium behaviors important in semiconductors.
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