SciELO - Scientific Electronic Library Online

 
vol.53 issue6The binding energy of donor impurities in GaAs quantum dots under the pressure effectCondiciones para la existencia de una bifurcación Hopf en la estructura de control con modelo interno author indexsubject indexsearch form
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

  • Have no similar articlesSimilars in SciELO

Share


Revista mexicana de física

Print version ISSN 0035-001X

Rev. mex. fis. vol.53 n.6 México Dec. 2007

 

Investigación

 

Hard–colloidal particles in contact with fluctuating membranes

 

F. Córdoba–Valdés a, C. Fleck b, and R. Castañeda–Priego a

 

ª Instituto de Física, Universidad de Guanajuato, Loma del Bosque 103, Col. Lomas del Campestre, 37150 León, Guanajuato, México.

b Department of Mathematics and Physics, University of Freiburg, D–79104, Freiburg, Germany.

 

Recibido el 9 de agosto de 2007
Aceptado el 11 de septiembre de 2007

 

Abstract

A model to study the structural and thermodynamic properties of hard–colloidal particles in contact with fluctuating membranes by means of Monte Carlo simulation is proposed. To test the accuracy of our model, we compare the density profile of a system composed of non–interacting point–like particles with the analytical expression derived by Bickel et al. [Phys. Rev. E 70 (2004) 051404]. This model is applicable to colloids with finite size and it can easily be extended to binary systems or systems with long–range (Coulomb–like) interactions.

Keywords: Colloids; membranes; Monte Carlo simulation.

 

Resumen

Se propone un modelo que utiliza simulación de Monte Carlo para estudiar las propiedades estructurales y termodinámicas de esferas duras coloidales en contacto con membranas fluctuantes. Para verificar la precisión de nuestro modelo, comparamos el perfil de densidad de un sistema compuesto por partículas puntuales no interactuantes con la expresión analítica derivada por Bickel et al. [Phys. Rev. E 70 (2004) 051404]. Este modelo es aplicable al caso de coloides con tamaño finito y puede ser fácilmente extendido a sistemas binarios o sistemas con interacciones de largo alcance (tipo Coulomb).

Descriptores: Coloides; membranas; simulación de Monte Carlo.

 

PACS: 05.10.Ln; 82.70.Dd; 87.16.Ac; 87.16.Dg

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

Acknowledgments

This work was supported by PROMEP and CONACyT (grant 46373/A–1 and scholarship 206738).

 

References

1. B.S. Brown. Biological Membranes. Notes for Advanced Biology. University of Manchester, Oxford Road, Manchester M1 3 9PT, U.K.        [ Links ]

2. B. Alberts et. al., Molecular Biology of the Cell (Garland Publishing, Inc. New York and London, 1994).        [ Links ]

3. A.D. Dinsmore, A.G. Yodh, and D.J. Pine, Nature (London) 383 (1996) 239.        [ Links ]

4. R. Castañeda–Priego, A. Rodríguez–López, and J.M. Méndez–Alacaraz, Phys. Rev. E 73 (2006) 051404, and references therein.        [ Links ]

5. W. Helfrich, Z. Naturforsch 22 (1973) 693.        [ Links ]

6. T. Bickel, M. Benhamou and H. Käidi, Phys. Rev. E 70 (2004) 051404.        [ Links ]

7. E. Sackman and R. Lipowsky, Editors. Structure and dynamics of membranes (North Holland, Amsterdam, 1995).        [ Links ]

8. Udo Seifert, Advances in Physics 46 (1997) 13.        [ Links ]

9. J. Rädler, T.J. Feder, H.H. Strey, and E. Sackmann, Phys. Rev. E 51(1995) 4526.        [ Links ]

10. Fidel Córdoba Valdés. Colloidal suspensions in contact with fluctuating membranes: the role of the entropic interactions. Master Thesis. Instituto de Física de la Universidad de Guanajuato, October (2006).        [ Links ]

11. D. Frenkel and B. Smit, Understanding the molecular simulation (Academic Press, 1996).        [ Links ]

12. W.H. Press, W.T. Vetterling, S.A. Teukolsky, and B.P. Flannery, Numerical Recipes in Fortran, The Art of Scientific Computing, Second Edition (Cambridge University Press, 1992).        [ Links ]

13. F. Córdoba Valdés, C. Fleck, and R. Castañeda–Priego, in preparation (2007).        [ Links ]

Creative Commons License All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License