Universality versus nonuniversality of critical transport properties in liquid mixtures

Folk, R.; Moser, G.

doi:10.1007/bf02083546

Cited by 16 publications

(7 citation statements)

References 32 publications

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“…The transport properties are reported [21] to exhibit different features at the consolute and the plait points. For example, for τ → 0 the thermal conductivity remains finite at consolute points, but diverges at plait points of a binary liquid mixture [21,22]. Moreover, also the corresponding behaviors in the non-asymptotic regime are quite different.…”

Section: Introductionmentioning

confidence: 96%

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Structure and dynamics of binary liquid mixtures near their continuous demixing transitions

Roy

Dietrich

Höfling

2016

The Journal of Chemical Physics

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The dynamic and static critical behavior of a family of binary Lennard-Jones liquid mixtures, close to their continuous demixing points (belonging to the so-called model H' dynamic universality class), are studied computationally by combining semi-grand canonical Monte Carlo simulations and large-scale molecular dynamics (MD) simulations, accelerated by graphic processing units (GPU). The symmetric binary liquid mixtures considered cover a variety of densities, a wide range of compressibilities, and various interactions between the unlike particles. The static quantities studied here encompass the bulk phase diagram (including both the binodal and the λ-line), the correlation length, and the concentration susceptibility, of the finite-sized systems above the bulk critical temperature T, the compressibility and the pressure at T. Concerning the collective transport properties, we focus on the Onsager coefficient and the shear viscosity. The critical power-law singularities of these quantities are analyzed in the mixed phase (above T) and non-universal critical amplitudes are extracted. Two universal amplitude ratios are calculated. The first one involves static amplitudes only and agrees well with the expectations for the three-dimensional Ising universality class. The second ratio includes also dynamic critical amplitudes and is related to the Einstein-Kawasaki relation for the interdiffusion constant. Precise estimates of this amplitude ratio are difficult to obtain from MD simulations, but within the error bars our results are compatible with theoretical predictions and experimental values for model H'. Evidence is reported for an inverse proportionality of the pressure and the isothermal compressibility at the demixing transition, upon varying either the number density or the repulsion strength between unlike particles.

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Section: Introductionmentioning

confidence: 96%

“…Critical dynamics in binary liquid mixtures are described by model H ′ [6]. The transport properties are reported [21] to exhibit different features at the consolute and the plait points. For example, for τ → 0 the thermal conductivity remains finite at consolute points, but diverges at plait points of a binary liquid mixture [21,22].…”

Section: Introductionmentioning

confidence: 99%

Structure and dynamics of binary liquid mixtures near their continuous demixing transitions

Roy

Dietrich

Höfling

2016

The Journal of Chemical Physics

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“…Mode-coupling theories [11][12][13], on the other hand, originated from the idea of Fixman [14] that the critical enhancements of the transport coefficients are the result of non-linear coupling between the hydrodynamic modes of the system. Dynamic renormalization-group and mode-coupling theories, as well as the related decoupled-mode theory of Perl and Ferrell [15,16], have recently been extended to describe the crossover behavior of transport properties of fluids and their mixtures [17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Thermodiffusion in the Critical Region

Luettmer-Strathmann

2002

Thermal Nonequilibrium Phenomena in Fluid Mixtures

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Abstract. Long range fluctuations of the order parameter affect thermodynamic as well as transport properties in the critical region. The values of transport coefficients near a critical point are typically enhanced compared to the values in the classical region far away from a critical point. Asymptotically close to a critical point, the critical enhancements obey power laws with universal critical exponents. The asymptotic critical region is surrounded by a large crossover region, where the enhancements are no longer asymptotic but still significant compared to the background values. In binary mixtures, this is also the region where differences are observed in the critical behavior of transport coefficients near liquid-liquid (consolute) and liquid-vapor (plait) critical points. In this contribution, we review the critical dynamics of binary fluid mixtures with a focus on thermodiffusion.

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“…The question of criticality in ionic systems, where the (screened) Coulomb interactions might lead to effectively algebraically decaying interactions, appears still open to debate. [48][49][50] It has also been claimed that exponents in the long-range universality class have been observed experimentally in a ferromagnetic phase transition. 51 Recently, it has been derived that critical fluctuations may give rise to long-range Casimir forces (decaying much more slowly than van der Waals interactions) between uncharged particles immersed in a critical fluid.…”

Section: Introductionmentioning

confidence: 99%

Classical critical behavior of spin models with long-range interactions

1997

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We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for the exponents predicted by renormalization theory for systems in one, two, and three dimensions and accurately observe the predicted logarithmic corrections at the upper critical dimension. We give both theoretical and numerical evidence that above the upper critical dimension the decay of the critical spin-spin correlation function in finite systems consists of two different regimes. For one-dimensional systems our estimates for the critical couplings are more than two orders of magnitude more accurate than existing estimates. In two and three dimensions we are unaware of any other results for the critical couplings.

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Universality versus nonuniversality of critical transport properties in liquid mixtures

Cited by 16 publications

References 32 publications

Structure and dynamics of binary liquid mixtures near their continuous demixing transitions

Structure and dynamics of binary liquid mixtures near their continuous demixing transitions

Thermodiffusion in the Critical Region

Classical critical behavior of spin models with long-range interactions

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