plasma physics in rostock with gerd röpke - 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
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
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
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
\vspa
BPLfunction partition atomic )(
1,2,3,4kknown exactly are ),(
...ln)(
)(ln)()()(
2
2
35
2/54
2/53
22
2/31
TC
eTC
nnTC
nTCnnTCnTCnTCnp
k
Exact thermodynamic results:4 virial coeffcients are exactly known
Higher orders=3 part b.s., 4 part b.s.,..
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.)
Excess chemical potential in Debye-Hueckel approximation
The two-phase region
Specific volume
Quantum Debye-Hückela --> a(T) = Lambda/8
The critical point of the PPT
~12000 - 18000 K
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!
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
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
........... ..the group
• Günter Kelbg,• Heinz Ulbricht,• Dietrich Kremp,• Wolf-D. Kremp,• Klaus Kilimann,• Hartmut Krienke,• Lutz Schimansky-Geier• Ahlbehrend, Malchow,• Engel-H, Meister
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
BSE:Closing the gap between H-levels and continuuum (ZKKKR)
The valley of bound states, transition to highly ionized states (Mott transition)
1028
1024
1020
1016
102 104 106
ne, cm-3
T, K
Metallic plasma
Strongly Ionized plasma
mo
lecu
lars
ato
ms
H2 = 0.5
= 0.5
rs = 1
nee3 = 1
= 1
rD = 0.84a0
Phase diagram
Calculations
New results in TD: advanced Pade appr. (Sändig, Zimdahl, Richert, Förster, Kahlbaum).
Example=electronic part of energy:
reasonableea
rea
rea
re
90-..: many calculations for H-plasma (BFJRR)pressure and PPT in Mbar region
Coexistence line /diss. /ioniz.
How to reach the PPT transition line?Hugoniots or (quasi-adiabatic) multishocks?
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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