Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes

Details Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes

2010-07-28

arxiv.org/abs/1007.4930v2

Published in J. Stat. Mech. P02010 (2011)

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 1 table, 6 figures. The new version include a new table and new references, one figure was modified

Scientific paper

It is well known that the increase of the spatial dimensionality enhances the fluid-fluid demixing of a binary mixture of hard hyperspheres, i.e. the demixing occurs for lower mixture size asymmetry as compared to the three-dimensional case. However, according to simulations, in the latter dimension the fluid-fluid demixing is metastable with respect to the fluid-solid transition. According to the results obtained from approximations to the equation of state of hard hyperspheres in higher dimensions, the fluid-fluid demixing might becomes stable for high enough dimension. However, this conclusion is rather speculative since none of the above works have taken into account the stability of the crystalline phase (nor by a minimization of a given density functional, neither spinodal calculations or MC simulations). Of course, the lack of results is justified by the difficulty for performing density functional calculations or simulations in high dimensions and, in particular, for highly asymmetric binary mixtures. In the present work, we will take advantage of a well tested theoretical tool, namely the fundamental measure density functional theory for parallel hard hypercubes (in the continuum and in the hypercubic lattice). With this, we have calculated the fluid-fluid and fluid-solid spinodals for different spatial dimensions. We have obtained, no matter of the dimensionality, the mixture size asymmetry nor the polydispersity (included as a bimodal distribution function centered around the asymmetric edge-lengths), that the fluid-fluid critical point is always located above the fluid-solid spinodal. In conclusion, these results point to the existence of demixing between at least one solid phase rich in large particles and one fluid phase rich in small ones, preempting a fluid-fluid demixing, independently of the spatial dimension or the polydispersity.

Affiliated with

Also associated with

No associations

Rating

Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluid-fluid versus fluid-solid demixing in mixtures of parallel hard hypercubes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-73944