Simplified self-consistent theory of colloid dynamics

R. Juárez-Maldonado, M. A. Chávez-Rojo, P. E. Ramírez-González, L. Yeomans-Reyna, and M. Medina-Noyola
Phys. Rev. E 76, 062502 – Published 19 December 2007

Abstract

One of the main elements of the self-consistent generalized Langevin equation (SCGLE) theory of colloid dynamics [Phys. Rev. E 62, 3382 (2000); 72, 031107 (2005)] is the introduction of exact short-time moment conditions in its formulation. The need to previously calculate these exact short-time properties constitutes a practical barrier for its application. In this Brief Report, we report that a simplified version of this theory, in which this short-time information is eliminated, leads to the same results in the intermediate and long-time regimes. Deviations are only observed at short times, and are not qualitatively or quantitatively important. This is illustrated by comparing the two versions of the theory for representative model systems.

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  • Received 28 September 2007

DOI:https://doi.org/10.1103/PhysRevE.76.062502

©2007 American Physical Society

Authors & Affiliations

R. Juárez-Maldonado1, M. A. Chávez-Rojo2, P. E. Ramírez-González1, L. Yeomans-Reyna3, and M. Medina-Noyola1

  • 1Instituto de Física “Manuel Sandoval Vallarta,” Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, SLP, Mexico
  • 2Facultad de Ciencias Químicas, Universidad Autónoma de Chihuahua, Venustiano Carranza S/N, 31000 Chihuahua, Chih., Mexico
  • 3Departamento de Física, Universidad de Sonora, Boulevard Luis, Encinas y Rosales, 83000, Hermosillo, Sonora, Mexico

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Vol. 76, Iss. 6 — December 2007

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