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Selectivity in binary fluid mixtures: Static and dynamical properties

Roland Roth^1,2,*, Markus Rauscher^1,2,†, and Andrew J. Archer^3,‡

¹Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, 70569 Stuttgart, Germany
²Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
³Department of Mathematical Sciences, Loughborough University, Leicestershire LE11 3TU, United Kingdom

^*roland.roth@mf.mpg.de
^†rauscher@mf.mpg.de
^‡a.j.archer@lboro.ac.uk

Phys. Rev. E 80, 021409 – Published 28 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.021409

Abstract

Selectivity of particles in a region of space can be achieved by applying external potentials to influence the particles in that region. We investigate static and dynamical properties of size selectivity in binary fluid mixtures of two particles sizes. We find that by applying an external potential that is attractive to both kinds of particles, due to crowding effects, this can lead to one species of particles being expelled from that region, while the other species is attracted into the region where the potential is applied. This selectivity of one species of particle over the other in a localized region of space depends on the density and composition of the fluid mixture. Applying an external potential that repels both kinds of particles leads to selectivity of the opposite species of particles to the selectivity with attractive potentials. We use equilibrium and dynamical density-functional theory to describe and understand the static and dynamical properties of this striking phenomenon. Selectivity by some ion channels is believed to be due to this effect.

Article Text

References (29)

B. Hille, Ion Channels of Excitable Membranes (Sinauer Asc., Sunderland, 2001).
R. Roth and D. Gillespie, Phys. Rev. Lett. 95, 247801 (2005).
W. Nonner, L. Catacuzzeno, and B. Eisenberg, Biophys. J. 79, 1976 (2000).
W. Nonner, D. Gillespie, D. Henderson, and B. Eisenberg, J. Phys. Chem. B 105, 6427 (2001).
D. Gillespie, W. Nonner, D. Henderson, and R. S. Eisenberg, Phys. Chem. Chem. Phys. 4, 4763 (2002).
A. J. Archer, J. Phys.: Condens. Matter 18, 5617 (2006).
A. J. Archer, J. Chem. Phys. 130, 014509 (2009).
J. G. Anero and P. Español, Europhys. Lett. 78, 50005 (2007).
S. Melchionna and U. M. B. Marconi, Europhys. Lett. 81, 34001 (2008).
U. M. B. Marconi and S. Melchionna, e-print arXiv:0902.3694.
U. M. B. Marconi and P. Tarazona, J. Chem. Phys. 110, 8032 (1999).
U. M. B. Marconi and P. Tarazona, J. Phys.: Condens. Matter 12, A413 (2000).
A. J. Archer and M. Rauscher, J. Phys. A 37, 9325 (2004).
A. J. Archer, J. Phys.: Condens. Matter 17, 1405 (2005).
A. J. Archer and R. Evans, J. Chem. Phys. 121, 4246 (2004).
M. Rauscher, M. Krüger, A. Dominguez, and F. Penna, J. Chem. Phys. 127, 244906 (2007).
C. Gutsche, F. Kremer, M. Krüger, M. Rauscher, R. Weeber, and J. Harting, J. Chem. Phys. 129, 084902 (2008).
J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, New York, 2006).
R. Evans, in Fundamentals of Inhomogeneous Fluids, edited by D. Henderson (Marcel Dekker, New York, 1992), Chap. 3, pp. 85–173.
R. Evans, Adv. Phys. 28, 143 (1979).
Y. Rosenfeld, Phys. Rev. Lett. 63, 980 (1989).
R. Roth, R. Evans, A. Lang, and G. Kahl, J. Phys.: Condens. Matter 14, 12063 (2002); Y.-X. Yu and J. Wu, J. Chem. Phys. 117, 10156 (2002).
H. Hansen-Goos and R. Roth, J. Phys.: Condens. Matter 18, 8413 (2006).
E. Runge and E. K. U. Gross, Phys. Rev. Lett. 52, 997 (1984).
Garnet Kin-Lic Chan and R. Finken, Phys. Rev. Lett. 94, 183001 (2005).
A. J. Archer, P. Hopkins, and M. Schmidt, Phys. Rev. E 75, 040501(R) (2007).
J. R. Henderson, Mol. Phys. 74, 1125 (1991).
C. P. Royall, J. Dzubiella, M. Schmidt, and A. van Blaaderen, Phys. Rev. Lett. 98, 188304 (2007).
M. Rex and H. Löwen, Eur. Phys. J. E 28, 139 (2009).