Biomedical subjects

M Medina-Noyola

Publications and source records attributed to M Medina-Noyola.

14 recordsLinked to original sources

PubMed2001

Self-consistent generalized Langevin equation for colloid dynamics.

We present a general self-consistent theory of colloid dynamics which, for a system without hydrodynamic interactions, allows us to calculate F(k,t), and its self-diffusion counterpart F(S)(k,t), given the effective interaction pair potential u(r) between colloidal particles, and the corresponding equilibrium static structural properties. This theory is build upon the exact results for F(k,t) and F(S)(k,t) in terms of a hierarchy of memory functions, derived from the application of the generalized Langevin equation formalism, plus the proposal of Vineyard-like connections between F(k,t) and F(S)(k,t) through their respective memory functions, and a closure relation between these memory functions and the time-dependent friction function Delta zeta(t). As an illustrative application, we present and analyze a selection of numerical results of this theory in the short- and intermediate-time regimes, as applied to a two-dimensional repulsive Yukawa Brownian fluid. For this system, we find that our theory accurately describes the dynamic properties contained in F(k,t) in a wide range of conditions, including strongly correlated systems, at the longest times available from our computer simulations.

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PubMed2000

Long-time tracer diffusion of nonspherical brownian particles

The long-time tracer-diffusion properties of a nonspherical Brownian particle that interacts with a suspension of spherical particles are studied in terms of an idealized but nontrivial two-dimensional model system. For this system, the predictions of the generalized Langevin equation approach to tracer diffusion can be calculated, and compared with the (extrapolated) results of a computer simulation experiment. In the model, the nonspherical particle is represented by a rigid linear array of N(T) (=2 or 3) spherical particles with nearest-neighbor separation DeltaL. We calculate the long-time rotational and (transverse and longitudinal) translational diffusion coefficients. The theory is found to reproduce qualitatively and quantitatively the main features of the extrapolated results. Finally, we also present theoretical results that derive from still simpler approximate theoretical schemes.

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PubMed2000

Overdamped van hove function of colloidal suspensions

The generalized-hydrodynamic theory for collective diffusion of a monodisperse colloidal suspension is developed in the framework of the Onsager-Machlup theory of time-dependent fluctuations. The time evolution of the intermediate scattering function F(k,t) is derived as a contraction of the description involving the instantaneous particle number concentration, the particle current, and the stress tensor of the Brownian fluid as state variables. We show that the proper overdamped limit of this equation requires the explicit separation of the stress tensor in its mutually orthogonal kinetic and configurational contributions. Analogous results also follow for the self-intermediate scattering function F(s)(k,t). We show that neglecting the non-Markovian part of the configurational stress tensor memory, one recovers the single exponential memory approximation (based on sum rules derived from the Smoluchowski equation) for both F(s)(k,t) and F(k,t). We suggest simple approximate manners to relate the collective and the self-memory functions, leading to Vineyard-like approximate relations between F(s)(k,t) and F(k,t).

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PubMed2000

Vineyard-like approximations for colloid dynamics

In this paper we propose a hierarchy of higher-order Vineyard-like approximations for colloidal systems. These consist of approximate expressions for the intermediate scattering function F(k,t) in terms of the self-intermediate scattering function F(s)(k,t) (or some memory function associated with it), and of other static structural properties of the suspension. In order to assess the accuracy of the proposed approximations, we perform Brownian dynamics simulations in a simple model system (a two-dimensional Yukawa Brownian fluid), in which we determine F(k,t), F(s)(k,t), and the required static structural properties. We study proposals for "second-order" and "third-order" Vineyard-like approximations. We find that the detailed structure of the relationship between the corresponding collective and self-memory functions turns out to be most important, as quantified by our simulation results.

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PubMed2000

Axial and angular correlations between colloidal particles in narrow cylindrical pores

In this work we present a study of the local structure of a model colloidal suspension highly confined inside a cylindrical pore. Such a study is based in Monte Carlo computer simulations, using the repulsive part of the Derjaguin-Landau-Verwey-Overbeek potential as the pair interaction between particles. The structural properties calculated here are the concentration profile n(rho), the axial pair correlation function g(z), and the axial-angular pair correlation function g(z,straight phi). The behavior of these quantities is analyzed as a function of the density of colloidal particles in the restricted space, and as a function of the size of the pore.

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PubMed1996