Nonlinear Concentration Dependence of Sound Velocity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow></mml:math>Solutions
B. Moses AbrahamArgonne National Laboratory, Argonne, IllinoisY. EcksteinArgonne National Laboratory, Argonne, IllinoisJ. B. KettersonArgonne National Laboratory, Argonne, Illinois
1968lv
ABI
Abstract
We present measurements of the change in the velocity of sound in liquid $^{4}\mathrm{He}$ on the addition of small quantities of $^{3}\mathrm{He}$ for three compositions and three frequencies. It is shown that the change is not strictly linear in $^{3}\mathrm{He}$ concentration and that the nonlinearity may be explained to a large extent if corrections to the $^{3}\mathrm{He}$ effective mass, which arise from the many-body interactions, are included.
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Cited by 40 references