# Accession Number:

## AD0263190

# Title:

## EQUATION OF STATE OF GASEOUS METALLIC PLASMAS

# Descriptive Note:

# Corporate Author:

## NAVAL ORDNANCE TEST STATION CHINA LAKE CALIF

# Personal Author(s):

# Report Date:

## 1961-08-03

# Pagination or Media Count:

## 1.0

# Abstract:

Effort was made to implement a theory which applies modern statistical mechanics to the interactions prevailing between different types of charged particles in an ionized system to calculate the equation of state of gaseous metallic plasmas. Contributions to the pressure from these interactions are given by formulas in terms of correlation functions which relate the probability of finding a charged particle of type j in the immediate neighborhood of a point x sub j when a charged particle of type i is at the point x sub i. The latter are to be estimated by successive iteration of an exponential involving the product of the pair of charges and a double integral. The procedure was programmed on the IBM 7097090 Electronic Data Processing System with the aid of FORTRAN language. Results are obtainable for temperatures of 10 to the 7th power and 10 to the 6th power K, but the computations diverge for temperature 100,000 K and charge density 0.001 atomic units, this despite the fact that the order of integration and summation in the formula was interchanged in the hope of getting cancellation of divergent factors. A mathematical study shows that the equation is essentially convergent. It is concluded that it may be possible to introduce adjustments into the program to obviate the practical difficulties. Author