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4.2 Critical sound attenuation

Figure 4.1: Critical part in the frequency-normalized attenuation coefficient for the n- pentanol-nitromethane mixture: at Tc plotted as function of f −1.06 [76].

the amplitude of the Bhattacharjee-Ferrell dynamic scaling model:

of the dynamic scaling model. Parameter g in Eq.(4.17) is the adiabatic coupling constant defined by Eq.(4.3). According to the thermodynamic relation:

it can be obtained from the slope dTc/dp in the pressure dependence of the critical tem- perature along the critical line and to the thermal expansion coefficient αp at constant pressure. The latter can be expressed with the aid of density ρ likewise at constant pres- sure: αp = ρ[dρ−1/dT]p (4.19)

In Eq.(4.17) ∆Cp as well as Cpb are the amplitudes of the critical part and the background part, respectively, of the heat capacity at constant pressure:

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