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Onsager-molecule approach to screening potentials in strongly coupled plasmas

  • Yaakov Rosenfeld (a1)

Abstract

The solution of the exact integral equation for the liquid pair-structure in the asymptotic strong coupling limit for the plasma, as mapped on the Onsager charge-smearing optimization for the energy lower bound, features “Onsager atoms” and “Onsager molecules”. The universal properties of this asymptotic limit make it a natural reference starting point for an asymptotic strong coupling expansion for the fluid structure and thermodynamics, playing the role of an “ideal liquid” state. In particular, the leading strong coupling terms for the potential energy, direct correlation functions, and screening potentials for the Coulomb and Yukawa mixtures (corresponding to classical plasmas and electron screened classical plasmas), with full thermodynamic consistency, are presented. These are in complete agreement with the Alastuey-Jancovici analysis of early simulations data by Hansen in strong coupling, and with recent highly accurate simulations data of Ogata, Iyetomi, and Ichimaru. Data analysis errors lead Ogata, Iyetomi, and Ichimaru to incorrect results for the short range screening potentials in strong coupling. Their calculations for the short range screening potentials, bridge functions, and enhancement factors for nuclear reaction rates in strongly coupled plasmas, should be revised.

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References

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Aers, G.C. and Dharma- wardana, M.W.C., Phys.Rev. A29, 2734, (1984)
Alastuey, A. and Jancovici, B., Ap. J. 226, 1034, (1978)
Brami, B., Hansen, J.P., and Joly, F., Physica 905A, 505, (1979)
Chabrier, G. and Ashcroft, N.W., Phys.Rev. A42, 2284, (1990)
Dandrea, R.G., Ashcroft, N.W., and Carlsson, A.E., Phys.Rev.B 34, 2097, (1986)
Dharma-wardana, M.W.C., and Taylor, R., J.Phys.C l4, 629, (1981)
DeWitt, H.E., Graboske, H.C., and Cooper, M.S., Ap. J. 181, 439, (1973)
DeWitt, H.E., Phys. Rev. A 14, L290, (1976)
DeWitt, H.E., Slattery, W.L., and Stringfellow, G.S., in “Strongly Coupled Plasma Physics”, edited by Ichimaru, S., North-Holland/Yamada Science Foundation, Amsterdam, 1990, page 635.
DeWitt, H.E. and Slattery, W.L., privat communication, (1993)
Firey, B. and Ashcroft, N.W., Phys.Rev.A l5, 2072, (1977)
Hansen, J.P., J.Physique. 36, L133, (1975)
Hansen, J.P., Torrie, G.M., and Vieillefosse, P., Phys.Rev.A l6, 2153, (1977)
Hansen, J.P. and Baus, M., Phys.Rep. 59, 1, (1980)
Hoover, W.G. and Poirer, J.C., J.Chem.Phys. 37, 1041, (1962)
Hubbard, W.B. and DeWitt, H.E., Astrophys.J. 290, 388, (1985)
Jancovici, B., J.Stai.Phys., 17, 357, (1977)
Ichimaru, S., Rev.Mod.Phys. 54, 1017, (1982)
Ichimaru, S., Iyetomi, H., and Tanaka, S., Phys.Rep. 149, 91, (1987)
Ichimaru, S., Ed., Strongly Coupled Plasma Physics”, North- Holland/Yamada Science Foundation, Amsterdam, 1990
Ichimaru, S. and Ogata, S., in “Strongly Coupled Plasma Physics”, edited by Ichimaru, S., North-Holland/Yamada Science Foundation, Amsterdam, 1990, page 101.
Ichimaru, S. and Ogata, S., Ap.J., 374 647, (1991)
Ichimaru, S., Rev.Mod.Phys., 65 255, (1993)
Itoh, N., Totsuji, H., Ichimaru, S., Ap. J., 218 477, (1978)
Itoh, N., Totsuji, H., Ichimaru, S., and DeWitt, H.E., Ap.J. 234, 1079, (1979)
Iyetomi, H., Ogata, S., and Ichimaru, S., Ap.J. 334, L17, (1988)
Iyetomi, H., Ogata, S., and Ichimaru, S., in US-Japan Workshop on Nuclear Fusion in Dense Plasmas, Institute for Fusion Studies, The University of Texas, Austin. Preliminary Abstracts, Edited by Ichimaru, S. and Tajima, T., Oct. 1991
Iyetomi, H., Ogata, S., and Ichimaru, S., Phys.Rev.A 46, 1051, (1992)
Lieb, E.L. and Narnhofer, H., J.Stat.Phys., 12 291, (1975)
More, R.M., Warren, K.H., Young, D.A., and Zimmerman, G.B., Phys.Fluids 31, 3059,(1988)
Ogata, S., Iyetomi, H., and Ichimaru, S., in “Strongly Coupled Plasma Physics”, edited by Ichimaru, S., North-Holland/Yamada Science Foundation, Amsterdam, 1990, page 59
Ogata, S., Iyetomi, H., and Ichimaru, S., Ap.J., 372 259, (1991)
Ogata, S., Ichimaru, S., and Van Horn, H.M., in US-Japan Workshop on Nuclear Fusion in Dense Plasmas, Institute for Fusion Studies, The University of Texas, Austin. Preliminary Abstracts, Edited by Ichimaru, S. and Tajima, T., Oct. 1991
Ogata, S., Iyetomi, H., Ichimaru, S., and Van Horn, H.M., in proceedings of the International Conference on the Physics of Strongly Coupled Plasmas, Rochester, New-York, USA, August 17 - 21, 1992 (University of Rochester Press, in print, edited by Van Horn, H. and Ichimaru, S.);
Ogata, S., Ichimaru, S., and Van Horn, H.M., preprint, 1993
Onsager, L., J.Phys.Chem. 43, 189, (1939)
Poll, P.D., Ashcroft, N.W., and DeWitt, H.E., Phys.Rev.A 37, 1672, (1988)
Rogers, F.J.and DeWitt, H.E., Eds., Strongly Coupled Plasma Physics”, Plenum, New York, 1987
Rosenfeld, Y. and Ashcroft, N.W., Phys.Rev.A 20, 1208, (1979)
Rosenfeld, Y., Phys. Rev. Letters, 44, 146, (1980a)
Rosenfeld, Y., J. Physique. 41, C277, (1980b)
Rosenfeld, Y., Phys.Rev.A 25, 1206 (1982a)
Rosenfeld, Y., Phys.Rev.A 26, 3622, (1982b)
Rosenfeld, Y. and Gelbart, W.M., J. Chem. Phys., 81, 4574, (1984)
Rosenfeld, Y., Phys.Rev.A 32, 1834 (1985)
Rosenfeld, Y., J. Stat. Phys. 42, 437, (1986a)
Rosenfeld, Y., Phys.Rev.A 33, 2025, (1986b)
Rosenfeld, Y. and Blum, L., J. Chem.Phys. 85, 1556, (1986)
Rosenfeld, Y., Phys.Rev.A, 35 938, (1987a)
Rosenfeld, Y., in “Strongly Coupled Plasma Physics”, edited by Rogers, F.J. and DeWitt, H.E., Plenum, New York, 1987b.
Rosenfeld, Y., Phys.Rev.A 37, 3403, (1988)
Rosenfeld, Y., Levesque, D., and Weis, J.J., Phys.Rev.A 39, 3079, (1989)
Rosenfeld, Y., Phys.Rev.A 40, U37, (1989)
Rosenfeld, Y., J.Chem.Phys. 93, 4305, (1990)
Rosenfeld, Y., in High-Pressure Equations of State: Theory and Applications, edited by Eliezer, S. and Rici, R., Italian Physical Society International School of Physics Enrico Fermi, Course CXIII, 1989, North- Holland, Amsterdam, (1991a)
Rosenfeld, Y., Phys.Rev.A 43, 6526, (1991b)
Rosenfeld, Y., Phys.Rev.A 46, 1059, (1992a)
Rosenfeld, Y., A46, 4922, (1992b)
Rosenfeld, Y., J. Chem. Phys. 98, 8126, (1993a)
Rosenfeld, Y., Phys.Rev.E 47, 2676, (1993b)
Rowlinson, J.S. and Widom, B., Molecular Theory of Capilarity (Clarendon, Oxford, 1982)
Rowlinson, J.S., Physica A, 156 15, (1989)
Salpeter, E.E., Aust.J.Phys., 7 373, (1954)
Salpeter, E.E. and Van Horn, H.M., Ap.J. 155, 183, (1969)
Stein, J., Shalitin, D., and Rosenfeld, Y., Phys.Rev.A 37, 4854, (1988)
Widom, B., J.Chem.Phys. 39, 2808, (1963)
Young, D.A., Corey, E.M., and DeWitt, H.E., Phys.Rev.A 44, 6508, (1991)

Onsager-molecule approach to screening potentials in strongly coupled plasmas

  • Yaakov Rosenfeld (a1)

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