Nonanalytic dispersion relations in classical fluids: I. The hard-sphere gas
作者： M.H. Ernst , J.R. Dorfman
DOI: 10.1016/0031-8914(72)90065-1
关键词: Classical fluids 、 Dispersion relation 、 Quantum mechanics 、 Mathematics
摘要: Abstract It is shown that the hydrodynamic frequencies z(k) for sound, shear and heat modes in a classical hard-sphere gas have nonanalytic dependence on wave number k of form Ak + Bk2 Ck 5 2 …. The presence terms an application kinetic theory which predicts asymptotic time behavior ≃ t 3 current-current correlation functions. coefficients various powers are determined, correct to their lowest order density, implications derivations linear equations such as Burnett equation discussed.
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