Abstract:Drozdov and Tucker [J. Chem. Phys. 114, 4912 (2001)] have computed the self-diffusion coefficient along a near-critical isotherm showing anomalous slowing of molecular motion near the critical density and cite some experiments in support. A considered examination of the best literature data shows no such anomaly near neat liquid critical or mixture consolute points.
“…No anomalous critical behavior is detected and the linear behavior is consistent with previous simulation studies [6,15]. An MD calculation [16] has suggested a weak singularity in the self-diffusion near vapor-liquid criticality but no corresponding anomaly has yet been detected experimentally [17].…”
We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the mutual-diffusion coefficient are fully consistent with the asymptotic power laws and amplitudes predicted by renormalization-group and mode-coupling theories provided finite-size effects and the background contribution to the relevant Onsager coefficient are suitably accounted for. This resolves a controversy raised by recent molecular simulations.
“…No anomalous critical behavior is detected and the linear behavior is consistent with previous simulation studies [6,15]. An MD calculation [16] has suggested a weak singularity in the self-diffusion near vapor-liquid criticality but no corresponding anomaly has yet been detected experimentally [17].…”
We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the mutual-diffusion coefficient are fully consistent with the asymptotic power laws and amplitudes predicted by renormalization-group and mode-coupling theories provided finite-size effects and the background contribution to the relevant Onsager coefficient are suitably accounted for. This resolves a controversy raised by recent molecular simulations.
“…The key idea in finite-size scaling 78 is that the correlation length, , scales as the finite system's linear dimension, l, when grows beyond l, i.e., ϳ l when Ͼ Ͼ l. Ratios of the critical exponents can be obtained by computing the specific quantity at the critical point as a function of l. For example, at the critical point, ϳ ⑀ −␥ and ϳ ⑀ − , where ⑀ ϵ͉͑ − c ͒ / c ͉. 67,68 The shear viscosity and thermal conductivity increase as the density is increased and there is a critical enhancement. The ratio ␥ / can therefore be determined from the slope of a logarithmic plot of versus l. The static behavior of the model is consistent with what is expected from the Ising universality class.…”
Molecular-dynamics simulations are presented for the dynamic behavior of the Widom-Rowlinson mixture [B. Widom, and J. S. Rowlinson, J. Chem. Phys. 52, 1670 (1970)] at its critical point. This model consists of two components where like species do not interact and unlike species interact via a hard-core potential. Critical exponents are obtained from a finite-size scaling analysis. The self-diffusion coefficient shows no anomalous behavior near the critical point. The shear viscosity and thermal conductivity show no divergent behavior for the system sizes considered, although there is a significant critical enhancement. The mutual diffusion coefficient, D(AB), vanishes as D(AB) approximately xi(-1.26 +/- 0.08), where xi is the correlation length. This is different from the renormalization-group (D(AB) approximately xi(-1.065)) mode coupling theory (D(AB) approximately xi(-1)) predictions. The theories and simulations can be reconciled if we assume that logarithmic corrections to scaling are important.
“…2 the MCT results for *ϭ s 2 /ͱm s ⑀ s together with the MD data of Heyes 79 ͓the MD values at T*ϭ1.41 were obtained by interpolating between the published values of * at T*ϭ1. 35 and T* ϭ1.456; the collision integrals ⍀ (2,2) *(T) required to compute E have been tabulated for the LJ potential 74 ͔. The Enskog contribution to the solvent shear viscosity coefficient, E * , is plotted separately in the middle panel of Fig.…”
Section: A Neat Fluidmentioning
confidence: 99%
“…As such, molecular diffusion coefficients in supercritical media have been actively studied via experiment, [9][10][11][12][13][14][15][16][17][18][19][20][21] molecular dynamics ͑MD͒ simulation, [22][23][24][25][26][27][28][29][30][31] and statistical mechanical theory. 26 -28,32-34 Due to the difficulties associated with measurements of diffusion coefficients at supercritical conditions, some of the experimental findings remain controversial, 33,35,36 which underscores the need for advancing theoretical treatments of SCF transport properties.…”
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