Abstract
The theoretical phase velocity v=(Reω)/k of temporally damped waves in liquids with relaxing loss mechanisms is not in all circumstances a monotonically increasing function of wavenumber k. In CCl4, if the (longitudinal) viscosity does not relax, then v vanishes for k>1.24×107 cm−1; if the viscosity has a relaxation time of 10−13 sec, v vanishes only for 1.24×107<k<1.34×107 cm−1; if the viscous relaxation time is 10−12 sec, v is monotonic increasing [W. H. Nichols and E. F. Carome, J. Chem. Phys. 49, 1000 (1968)]. In benzene, if the viscous relaxation time is 10−13 sec, v may merely dip at k=1.27×107 cm−7. In argon, for either choice of viscous relaxation time, v is monotonic increasing. [This research was supported in part by the U. S. Office of Naval Research and by the Advanced Research Projects Agency.]
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