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

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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

Werner Ebeling Humboldt University Berlin
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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

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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

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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.
  
• lt---- the RED BOOK

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Exact thermodynamic results4 virial coeffcients
are exactly known
Higher orders3 part b.s., 4 part b.s.,..
\vspa
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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.)

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Excess chemical potential in Debye-Hueckel
approximation
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The two-phase region
Specific volume
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Quantum Debye-Hückel a --gt a(T) Lambda/8
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The critical point of the PPT
12000 - 18000 K
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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!

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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

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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

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........... ..the group

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

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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

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BSEClosing the gap between H-levels and
continuuum (ZKKKR)
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The valley of bound states, transition to highly
ionized states (Mott transition)
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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
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New results in TD advanced Pade appr. (Sändig,
Zimdahl, Richert, Förster, Kahlbaum).
Exampleelectronic part of energy
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reasonableea
rea
rea
re
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90-.. many calculations for H-plasma
(BFJRR)pressure and PPT in Mbar region
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Coexistence line /diss. /ioniz.
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How to reach the PPT transition line?Hugoniots
or (quasi-adiabatic) multishocks?
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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 ....