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Fluctuation-dissipation relation between shear stress relaxation modulus and shear stress autocorrelation function revisited
The shear stress relaxation modulus $G(t)$ may be determined from the shear stress $\tau(t)$ after switching on a tiny step strain $\gamma$ or by inverse Fourier transformation of the storage modulus $G^{\prime}(\omega)$ or the loss modulus $G^{\prime\prime}(\omega)$ obtained in a standard oscillatory shear experiment at angular frequency $\omega$. It is …