Normalized instantaneous fluctuations of the potential energy (circles) and virial (squares) for the AMLJ model with at the indicated pressure and temperature. The ordinate of the upper curves has been shifted five units for clarity.
Fluctuations of the virial vs those of the potential energy in the AMLJ model with , 12, 24, and 36. For each , results for all pressures , 10, and 20 and all temperatures studied are shown. Colors in the online version indicate data sets corresponding to different state points. The corresponding ranges of densities are for , for , for , and for . The solid lines represent the least-squares linear fits with the correlation coefficient indicated.
Fluctuations of the virial vs those of the potential energy for the AMLJ model with at pressures and 50 and all studied (yielding ). These correspond to pressures (see Sec. II) comparable to the values for at and 20.
Least-squares slope calculated along individual isobars shown as a function of density . Results are shown for the AMLJ model with , 12 , 24 , and 36 . The horizontal dashed lines denote the corresponding values of the scaling exponent (from Ref. 20).
Summary of exponents from correlations and from thermodynamic scaling of diffusion for various LJ liquids. The correlation coefficient obtained from linear regression of data is also included. Statistical uncertainties on correspond to one standard deviation in the “mean” case, and to the error associated with linear regression in the “global” case.
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