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Plasma physics in Rostock with Gerd Röpke - from the work in the seventies to new developments

Humboldt Universität Berlin Institut für Physik. Plasma physics in Rostock with Gerd Röpke - from the work in the seventies to new developments. Werner Ebeling Humboldt University Berlin. Content. I. Quantum statistics in Rostock in the early seventies

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Plasma physics in Rostock with Gerd Röpke - from the work in the seventies to new developments

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  1. Humboldt Universität Berlin Institut für Physik Plasma physics in Rostock with Gerd Röpke - from the work in the seventies to new developments Werner Ebeling Humboldt University Berlin

  2. Content • I. Quantum statistics in Rostock in the early seventies • II. Some of the new developments with Gerd Röpke • III. A special problem: the relations between physical • and chemical picture • IV. Conclusions

  3. I. QS in Rostock before GR arrived. Plasma group in Rostock 1971 • First row: from r. Sändig, Krienke, Kelbg, guest, Ulbricht, Ebeling, guest, • the guests: Harold Friedman (USA) and Jan Stecki (Poland) • 2nd row: from l. Kraeft, Kremp, Kilimann

  4. In the center of interest was the bound state problem for plasmas and electrolytes, the divergence of the partition f. in plasmas • Coulombic phase transitions in class ionic solutions/plasmas with Grigo/Sändig/Richert, • Quantum statistics, virial coefficients, atomic partition function, density dependent minimum of ionization, energy levels with Kraeft/Kremp/Kilim. • <---- the RED BOOK

  5. Exact thermodynamic results:4 virial coeffcients are exactly known Higher orders=3 part b.s., 4 part b.s.,.. \vspa

  6. A special problem: First order Coulombic phase transitions in electrolytes and quantum plasmas • Simplest model of a first order phase transition is the van der Waals gas, • A model of similar simplicity exists for a phase transition in Coulomb systems (CPT or PPT) based on Debye-Hückel approximation and Bjerrum-Saha MAL (E./Sändig/Grigo/Fisher/Levin et al.)

  7. Excess chemical potential in Debye-Hueckel approximation

  8. The two-phase region Specific volume

  9. Quantum Debye-Hückel a --> a(T) = Lambda/8

  10. The critical point of the PPT ~12000 - 18000 K

  11. No data for plasmas were available in the 70ties, except Kormer-group (wrong?),Observed transitions in semiconductor plasmas, metal-amm. ? • Recently: • new observations in e-h plasmas, • new exp for ionic liquids (tetraalkylamm salts - Schröer) • New exp for high pressure plasmas (Trunin & Fortov groups) • Now: existence of PPT is rather sure!

  12. II. Quantum statistics in Rostock since 1977 with GR • GR started his career in Leipzig with Prof. Heber (dissertation on theory of magnetism), then he moved with Heber to Dresden and finally got 1977 a position at U Rostock • a large influence on Gerd had his russian teacher and friend Dmitri N. Zubarev • several longer stays Moscow e.g. in 1968, books with Zubarev and Morosov • later close collaboration with JINR Dubna

  13. Gerd in Rostock since 1977 • He was appointed for theoretical physics at Rostock University at 01.02.1977 • lectures in thermodynamics, quantum theory, statistical physics etc. • wrote several textbooks e.g. Quantum Theory, Nonequil. Statistics • In research he joined the group of G. Kelbg and worked with DK, WK, WE and others

  14. ........... ..the group • Günter Kelbg, • Heinz Ulbricht, • Dietrich Kremp, • Wolf-D. Kremp, • Klaus Kilimann, • Hartmut Krienke, • Lutz Schimansky-Geier • Ahlbehrend, Malchow, • Engel-H, Meister

  15. In collaboration with GR new tools were applied and developed, as Green functions, Zubarev formalism, transport theory • New results are summarized 1986 in the green book • Quantum theory of density-dependent energy levels, Bethe-Salpeter equation etc. Kilimann/Kraeft/ Kremp/Röpke/Rösler/ Zimmermann

  16. BSE:Closing the gap between H-levels and continuuum (ZKKKR)

  17. The valley of bound states, transition to highly ionized states (Mott transition)

  18. Phase diagram ne, cm-3 Metallic plasma 1028 nee3 = 1 rD = 0.84a0 H2 = 0.5 1024 rs = 1  = 1 Calculations 1020  = 0.5 Strongly Ionized plasma moleculars atoms 1016 T, K 102 104 106

  19. New results in TD: advanced Pade appr. (Sändig, Zimdahl, Richert, Förster, Kahlbaum). Example=electronic part of energy:

  20. reasonableea rea rea re

  21. 90-..: many calculations for H-plasma (BFJRR)pressure and PPT in Mbar region

  22. Coexistence line /diss. /ioniz.

  23. How to reach the PPT transition line?Hugoniots or (quasi-adiabatic) multishocks?

  24. Transport theory • D.N. Zubarev, G. Röpke, A.A. Morosov: Statistical mechanics of nonequilibrium processes. • Wiley, Vol. I 1996, Vol. II 1997 • Few words about him .... • Go to special problem ....

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