Dynamic equivalence between atomic and colloidal liquids

We show that the kinetic-theoretical self-diffusion coefficient of an atomic fluid plays the same role as the short-time self-diffusion coefficient D_S in a colloidal liquid, in the sense that the dynamic properties of the former, at times much longer than the mean free time, and properly scaled wit...

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Bibliographic Details
Published in:arXiv.org 2012-05
Main Authors: López-Flores, Leticia, Mendoza-Méndez, Patricia, Sánchez-Díaz, Luis E, Pérez-Ángel, Gabriel, Chávez-Páez, Martín, Vizcarra-Rendón, Alejandro, Medina-Noyola, Magdaleno
Format: Article
Language:English
Subjects:
Colloids
Computational fluid dynamics
Computer simulation
Diffusion coefficient
Equivalence
Freezing
Liquids
Particle interactions
Self diffusion
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Summary:We show that the kinetic-theoretical self-diffusion coefficient of an atomic fluid plays the same role as the short-time self-diffusion coefficient D_S in a colloidal liquid, in the sense that the dynamic properties of the former, at times much longer than the mean free time, and properly scaled with D_S, will indistinguishable from those of a colloidal liquid with the same interaction potential. One important consequence of such dynamic equivalence is that the ratio D_L/ D_S of the long-time to the short-time self-diffusion coefficients must then be the same for both, an atomic and a colloidal system characterized by the same inter-particle interactions. This naturally extends to atomic fluids a well-known dynamic criterion for freezing of colloidal liquids[Phys. Rev. Lett. 70, 1557 (1993)]. We corroborate these predictions by comparing molecular and Brownian dynamics simulations on (soft- and hard-sphere) model systems, representative of what we may refer to as the "hard-sphere" dynamic universality class.
ISSN:2331-8422
DOI:10.48550/arxiv.1106.2475