13. S.I. Braginskii, Transport processes in plasma, in Reviews of Plasma Physics, ed. by M. A.
Leontovich, vol. 1, (Consultants Bureau, New York, 1965), p. 205
14. R.M. Kulsrud, MHD description of plasma, in Handbook of Plasma Physics, vol. 1, (North
Holland, Amsterdam, 1983)
15. S. Chapman, T.G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd edn.
(University Press, Cambridge, 1970)
16. H. Grad, Asymptotic theory of the Boltzmann equation. Phys. Fluids 6, 147–181 (1963)
17. V.M. Zhdanov, Transport Processes in Multicomponent Plasma (Taylor & Francis, London,
2002)
18. R. Balescu, Transport Processes in Plasmas, vol 1 (North-Holland, Amsterdam, 1988)
19. A.B. Mikhailovskii, V.S. Tsypin, Transport-equations of plasma in a curvilinear magnetic-field.
Beitrage Aus Der Plasmaphysik/Contrib. Plasma Phys 24, 335–354 (1984)
20. P.J. Catto, A.N. Simakov, A drift ordered short mean free path description for magnetized
plasma allowing strong spatial anisotropy. Phys. Plasmas 11, 90–102 (2004)
21. P.J. Catto, A.N. Simakov, A new, explicitly collisional contribution to the gyroviscosity and the
radial electric field in a collisional tokamak. Phys Plasmas 12, 114503 (2005)
22. H. Grad, On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2, 331–407 (1949)
23. A.B. Mikhailovskii, V.S. Tsypin, Plasma transport drift equations. Sov Phys. JETP 56, 75–79
(1982)
24. F.L. Hinton, C.W. Horton, Amplitude limitation of collisional drift wave instability. Phys.
Fluids 14, 116–123 (1971)
25. A.I. Smolyakov, Gyroviscous forces in a collisionless plasma with temperature gradients.
Can. J. Phys. 76, 321–331 (1998)
26. J.J. Ramos, General expression of the gyroviscous force. Phys Plasmas 12, 112301 (2005)
27. A.I. Smolyakov, X. Garbet, C. Bourdelle, On the parallel momentum balance in low pressure
plasmas with an inhomogeneous magnetic field. Nucl. Fusion 49, 125001 (2009)
28. D. Hilbert, Begründung der kinetischen Gastheorie. Math. Ann. 72, 562–577 (1912)
29. J.M. McLennan, Convergence of the Chapman-Enskog expansion for the linearized Boltzmann
equation. Phys. Fluids 8, 1580–1584 (1965)
30. L. Spitzer Jr., R. Härm, Transport phenomena in a completely ionized gas. Phys. Rev. 89,
977–981 (1953)
31. D.R. Gray, J.D. Kilkenny, M.S. White, P. Blyth, D. Hull, Observation of severe heat-flux
limitation and ion-acoustic turbulence in a laser-heated plasma. Phys. Rev. Lett. 39, 1270–1273
(1977)
32. D.R. Gray, J.D. Kilkenny, The measurement of ion acoustic turbulence and reduced thermal
conductivity caused by a large temperature gradient in a laser heated plasma. Phys. Plasma 22,
81–111 (1980)
33. J.F. Luciani, P. Mora, J. Virmont, Nonlocal heat transport due to steep temperature gradients.
Phys. Rev. Lett. 51, 1664–1667 (1983)
34. J.R. Albritton, E.A. Williams, I.B. Bernstein, K.P. Swartz, Nonlocal electron heat transport by
not quite Maxwell–Boltzmann distributions. Phys. Rev. Lett. 57, 1887–1890 (1986)
35. S.I. Krasheninnikov, On nonlocal electron heat conduction. Phys. Fluids B 5, 74–76 (1993)
36. W. Manheimer, D. Colombant, V. Goncharov, The development of a Krook model for nonlocal
transport in laser produced plasmas. I. Basic theory. Phys. Plasmas 15, 083103 (2008)
37. E.M. Epperlein, Kinetic theory of laser filamentation in plasmas. Phys. Rev. Lett. 65,
2145–2148 (1990)
38. N.A. Krall, A.W. Trivelpiece, Principles of Plasma Physics (McGraw-Hill, New York, 1973),
pp. 315–323
39. P.B. Snyder, G.W. Hammett, W. Dorland, Landau fluid models of collisionless magnetohydrodynamics. Phys. Plasmas 4, 3974–3985 (1997)
40. S.I. Krasheninnikov, Superthermal particles and electron thermal conductivity. Sov. Phys. JETP
67, 2483–2486 (1988)
41. A.V. Gurevich, On the theory of runaway electrons. Sov. Phys. JETP 12, 904–912 (1961)
136
6 Fluid Description of Edge Plasma Transport
Leontovich, vol. 1, (Consultants Bureau, New York, 1965), p. 205
14. R.M. Kulsrud, MHD description of plasma, in Handbook of Plasma Physics, vol. 1, (North
Holland, Amsterdam, 1983)
15. S. Chapman, T.G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd edn.
(University Press, Cambridge, 1970)
16. H. Grad, Asymptotic theory of the Boltzmann equation. Phys. Fluids 6, 147–181 (1963)
17. V.M. Zhdanov, Transport Processes in Multicomponent Plasma (Taylor & Francis, London,
2002)
18. R. Balescu, Transport Processes in Plasmas, vol 1 (North-Holland, Amsterdam, 1988)
19. A.B. Mikhailovskii, V.S. Tsypin, Transport-equations of plasma in a curvilinear magnetic-field.
Beitrage Aus Der Plasmaphysik/Contrib. Plasma Phys 24, 335–354 (1984)
20. P.J. Catto, A.N. Simakov, A drift ordered short mean free path description for magnetized
plasma allowing strong spatial anisotropy. Phys. Plasmas 11, 90–102 (2004)
21. P.J. Catto, A.N. Simakov, A new, explicitly collisional contribution to the gyroviscosity and the
radial electric field in a collisional tokamak. Phys Plasmas 12, 114503 (2005)
22. H. Grad, On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2, 331–407 (1949)
23. A.B. Mikhailovskii, V.S. Tsypin, Plasma transport drift equations. Sov Phys. JETP 56, 75–79
(1982)
24. F.L. Hinton, C.W. Horton, Amplitude limitation of collisional drift wave instability. Phys.
Fluids 14, 116–123 (1971)
25. A.I. Smolyakov, Gyroviscous forces in a collisionless plasma with temperature gradients.
Can. J. Phys. 76, 321–331 (1998)
26. J.J. Ramos, General expression of the gyroviscous force. Phys Plasmas 12, 112301 (2005)
27. A.I. Smolyakov, X. Garbet, C. Bourdelle, On the parallel momentum balance in low pressure
plasmas with an inhomogeneous magnetic field. Nucl. Fusion 49, 125001 (2009)
28. D. Hilbert, Begründung der kinetischen Gastheorie. Math. Ann. 72, 562–577 (1912)
29. J.M. McLennan, Convergence of the Chapman-Enskog expansion for the linearized Boltzmann
equation. Phys. Fluids 8, 1580–1584 (1965)
30. L. Spitzer Jr., R. Härm, Transport phenomena in a completely ionized gas. Phys. Rev. 89,
977–981 (1953)
31. D.R. Gray, J.D. Kilkenny, M.S. White, P. Blyth, D. Hull, Observation of severe heat-flux
limitation and ion-acoustic turbulence in a laser-heated plasma. Phys. Rev. Lett. 39, 1270–1273
(1977)
32. D.R. Gray, J.D. Kilkenny, The measurement of ion acoustic turbulence and reduced thermal
conductivity caused by a large temperature gradient in a laser heated plasma. Phys. Plasma 22,
81–111 (1980)
33. J.F. Luciani, P. Mora, J. Virmont, Nonlocal heat transport due to steep temperature gradients.
Phys. Rev. Lett. 51, 1664–1667 (1983)
34. J.R. Albritton, E.A. Williams, I.B. Bernstein, K.P. Swartz, Nonlocal electron heat transport by
not quite Maxwell–Boltzmann distributions. Phys. Rev. Lett. 57, 1887–1890 (1986)
35. S.I. Krasheninnikov, On nonlocal electron heat conduction. Phys. Fluids B 5, 74–76 (1993)
36. W. Manheimer, D. Colombant, V. Goncharov, The development of a Krook model for nonlocal
transport in laser produced plasmas. I. Basic theory. Phys. Plasmas 15, 083103 (2008)
37. E.M. Epperlein, Kinetic theory of laser filamentation in plasmas. Phys. Rev. Lett. 65,
2145–2148 (1990)
38. N.A. Krall, A.W. Trivelpiece, Principles of Plasma Physics (McGraw-Hill, New York, 1973),
pp. 315–323
39. P.B. Snyder, G.W. Hammett, W. Dorland, Landau fluid models of collisionless magnetohydrodynamics. Phys. Plasmas 4, 3974–3985 (1997)
40. S.I. Krasheninnikov, Superthermal particles and electron thermal conductivity. Sov. Phys. JETP
67, 2483–2486 (1988)
41. A.V. Gurevich, On the theory of runaway electrons. Sov. Phys. JETP 12, 904–912 (1961)
136
6 Fluid Description of Edge Plasma Transport