
Accession Number : AD0605024
Title : PROPERTIES OF THE SHOCK TRANSITION AT LOW TEMPERATURE,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Gilvarry,J. J.
Report Date : 12 APR 1956
Pagination or Media Count : 16
Abstract : Bethe's equation for the change of entropy in waves of finite amplitude is shown to be inapplicable for an initial state of temperature arbitrarily close to absolute zero for a substance possessing a zeropoint pressure (or energy). Thermodynamic functions for such a substance at low temperature are formulated in general terms applicable to the FermiDirac gas, the ThomasFermi atom, the Debye solid, and the MieGruneisen solid as special cases. The conditions under which the equation of state satisfies the BetheWeyl conditions are given. Of the usual four basic properties of the shock transition under the BetheWeyl conditions, two must be modified for the class of substances in question, for an initial state arbitrarily close to zero temperature. The argument follows from extension of Bethe's method, by Taylor expansion of the Hugoniot function about the initial state. The results are shown to be consistent with Weyl's procedure. (Author)
Descriptors : (*SHOCK WAVES, THERMODYNAMICS), ENTROPY, EQUATIONS OF STATE, TRANSFORMATIONS, GASES, SOLIDS, ATOMIC PROPERTIES, MATHEMATICAL MODELS
Distribution Statement : APPROVED FOR PUBLIC RELEASE