A b s t r a c tHigh temperature plasmas are investigated on the basis of quantum theory. A new method for the calculation of the thermodynamic properties is developed. According to the method of MORITA effective potentials are introduced. They permit the evaluation of the partition function with the well-known formalism of classical statistical mechanics. The first corrections added to DEBYE'S limiting law of the free energy are expressed by the two particle SLATER sum
S,(T).A BLOCH equation for S,(r) is derived and is solved in the FOURIER representation by a development according to the interaction parameter 6 = ez/kTI, I being the thermal wavelength. The effects of symmetry are taken into account:The free energy is calculated explicitely up to the order of Ea.I n the case of small concentrations our results agrees with that derived by TRUBNZROW and ELESZN. Effects of symmetry neglected, up to the order of t a the formula of DEWITT is obtained.
EinlcitungDie theoretische Berechnung der thermodynamischen Eigenschaften von Hochtemperaturplasmen ist von Interesse fur die Untersuchung irdischer thermonuklearer Plasmen und der kosmischen heiBen Plasmen in Sternen. Dies trifft um so mehr zu, als direkte Messungen der thermodynamischen GroBen zur Zeit noch auf fast unlosbare Schwierigkeiten fuhren. Man ist daher weitgehend auf theoretische Vorhersagen angewiesen. Wir wollen uns auf solche Plasmen beschranken, die sich zumindest naherungsweise im thermodynamischen Gleichgewicht bei einer Temperatur T befinden. Eine weitere Voraussetzung dieser Arbeit ist, daB die LaNDauLange im Plasma 1 = e2/kT kleiner als die thermische Wellenlange 1 = i//n ist. Diese Bedingung ist in bezug auf die Elektron-Elektron-Wechselwirkung sowie die Elektron-Kern-Wechselwirkung fur Temperaturen oberhalb einer Million Grad Kelvin erfullt. Fur die Kern-Kern-Wechselx4rkung kommen wir auf noch wesentlich hohere Temperaturen. Wir werden in einer spateren Arbeit Verfahren angeben, um die Kern-Kern-Wechselwirkung auch bei Temperaturen von der GroBenordnung von Millionen Grad Kelvin behandeln zu konnen. Eine brauchbare Naherung fur die Kern-Kern-Wechselwirkung bietet in diesem Bereich schon der klassische Ausdruck fur den zweiten Virialkoefiizienten.
Beneath the tilted fault blocks of the western Galicia rifted margin an unusually bright reflection, the S reflection, is observed. The waveform, polarity and amplitude of S indicate that it is a reflection from a seismic interface across which the acoustic impedance increases sharply. This result is consistent with its interpretation as a detachment fault juxtaposing a low velocity and density upper plate and a high velocity and density lower plate. The lower plate may represent partially serpentinized mantle material, brought into contact with pre-rift sediments and upper crustal basement by tectonic denudation.Pre-stack depth migration is applied to determine the true geometry of S, and its relationships with the overlying faults. It is found that S passes continuously beneath the upper crustal faults, which detach onto S. However, S does appear to be truncated westwards by east-dipping reflections associated with the peridotites exposed at the seafloor. We interpret these reflections as the continuation of the top-to-the-east extensional shear zone sampled within the peridotite, and suggest that S is either antithetic to a master mantle detachment, or that S is cut by a later mantle shear zone.
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