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Dynamic heterogeneities and non-Gaussian behavior in two-dimensional randomly confined colloidal fluids
Phys. Rev. E 95, 032602 – Published 6 March, 2017
DOI: https://doi.org/10.1103/PhysRevE.95.032602
Abstract
A binary mixture of superparamagnetic colloidal particles is confined between glass plates such that the large particles become fixed and provide a two-dimensional disordered matrix for the still mobile small particles, which form a fluid. By varying fluid and matrix area fractions and tuning the interactions between the superparamagnetic particles via an external magnetic field, different regions of the state diagram are explored. The mobile particles exhibit delocalized dynamics at small matrix area fractions and localized motion at high matrix area fractions, and the localization transition is rounded by the soft interactions [T. O. E. Skinner et al., Phys. Rev. Lett. 111, 128301 (2013)]. Expanding on previous work, we find the dynamics of the tracers to be strongly heterogeneous and show that molecular dynamics simulations of an ideal gas confined in a fixed matrix exhibit similar behavior. The simulations show how these soft interactions make the dynamics more heterogeneous compared to the disordered Lorentz gas and lead to strong non-Gaussian fluctuations.
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References (51)
- A. Cavagna, Phys. Rep. 476, 51 (2009).
- L. Berthier and G. Biroli, Rev. Mod. Phys. 83, 587 (2011).
- P. Hohenberg and B. Halperin, Rev. Mod. Phys. 49, 435 (1977).
- J. Hansen and I. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, London, 2006).
- D. Stauffer and A. Aharony, Introduction to Percolation Theory, rev. 2nd ed. (Taylor & Francis, London, 2003).
- D. Ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems, 1st ed. (Cambridge University Press, Cambridge, UK, 2000).
- F. Höfling and T. Franosch, Rep. Prog. Phys. 76, 046602 (2013).
- J. Kurzidim, D. Coslovich, and G. Kahl, Phys. Rev. Lett. 103, 138303 (2009).
- J. Kurzidim, D. Coslovich, and G. Kahl, Phys. Rev. E 82, 041505 (2010).
- J. Kurzidim, D. Coslovich, and G. Kahl, J. Phys.: Condens. Matter 23, 234122 (2011).
- K. Kim, K. Miyazaki, and S. Saito, Europhys. Lett. 88, 36002 (2009).
- K. Kim, K. Miyazaki, and S. Saito, Eur. Phys. J.-Spec. Top. 189, 135 (2010).
- K. Kim, K. Miyazaki, and S. Saito, J. Phys.: Condens. Matter 23, 234123 (2011).
- V. Krakoviack, Phys. Rev. Lett. 94, 065703 (2005).
- V. Krakoviack, Phys. Rev. E 75, 031503 (2007).
- V. Krakoviack, Phys. Rev. E 79, 061501 (2009).
- H. Lorentz, Proc. R. Acad. Sci. Amsterdam 7, 438 (1905).
- H. V. Beijeren, Rev. Mod. Phys. 54, 195 (1982).
- S. K. Schnyder, M. Spanner, F. Höfling, T. Franosch, and J. Horbach, Soft Matter 11, 701 (2015).
- B. Nijboer and A. Rahman, Physica 32, 415 (1966).
- J. Boon and S. Yip, Molecular Hydrodynamics (Dover Publications, Mineola, NY, 1991).
- W. K. Kegel and A. van Blaaderen, Science 287, 290 (2000).
- M. S. Shell, P. G. Debenedetti, and F. H. Stillinger, J. Phys.: Condens. Matter 17, S4035 (2005).
- F. Höfling, T. Franosch, and E. Frey, Phys. Rev. Lett. 96, 165901 (2006).
- F. Höfling and T. Franosch, Phys. Rev. Lett. 98, 140601 (2007).
- F. Höfling, T. Munk, E. Frey, and T. Franosch, J. Chem. Phys. 128, 164517 (2008).
- M. Spanner, F. Höfling, G. E. Schröder-Turk, K. Mecke, and T. Franosch, J. Phys.: Condens. Matter 23, 234120 (2011).
- T. O. E. Skinner, S. K. Schnyder, D. G. A. L. Aarts, J. Horbach, and R. P. A. Dullens, Phys. Rev. Lett. 111, 128301 (2013).
- A. Rahman, Phys. Rev. 136, A405 (1964).
- M. D. Carbajal-Tinoco, G. Cruz de León, and J. L. Arauz-Lara, Phys. Rev. E 56, 6962 (1997).
- G. Cruz de León, J. M. Saucedo-Solorio, and J. L. Arauz-Lara, Phys. Rev. Lett. 81, 1122 (1998).
- J. Santana-Solano and J. L. Arauz-Lara, Phys. Rev. Lett. 87, 038302 (2001).
- J. Santana-Solano, A. Ramírez-Saito, and J. L. Arauz-Lara, Phys. Rev. Lett. 95, 198301 (2005).
- N. Osterman, D. Babic, I. Poberaj, J. Dobnikar, and P. Ziherl, Phys. Rev. Lett. 99, 248301 (2007).
- J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996).
- J. A. Barker and D. Henderson, J. Chem. Phys. 47, 4714 (1967).
- D. Henderson, Mol. Phys. 34, 301 (1977).
- T. Bauer, F. Höfling, T. Munk, E. Frey, and T. Franosch, Eur. Phys. J.-Spec. Top. 189, 103 (2010).
- A. L. Thorneywork, R. E. Rozas, R. P. A. Dullens, and J. Horbach, Phys. Rev. Lett. 115, 268301 (2015).
- J. D. Weeks, D. Chandler, and H. C. Andersen, J. Chem. Phys. 54, 5237 (1971).
- H. C. Andersen, J. Chem. Phys. 72, 2384 (1980).
- K. Binder, J. Horbach, W. Kob, W. Paul, and F. Varnik, J. Phys.: Condens. Matter 16, S429 (2004).
- A. L. Thorneywork, R. Roth, D. G. A. L. Aarts, and R. P. A. Dullens, J. Chem. Phys. 140 161106 (2014).
- W. van Megen and S. M. Underwood, Phys. Rev. Lett. 70, 2766 (1993).
- W. Götze, Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory, International Series of Monographs on Physics Vol. 143 (Oxford University Press, Oxford, 2009).
- A. L. Thorneywork, D. G. A. L. Aarts, J. Horbach, and R. P. A. Dullens, Soft Matter 12, 4129 (2016).
- G. H. Vineyard, Phys. Rev. 110, 999 (1958).
- W. Kob, C. Donati, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. 79, 2827 (1997).
- R. Yamamoto and A. Onuki, Phys. Rev. Lett. 81, 4915 (1998).
- E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, Science 287, 627 (2000).
- C. Lowe, D. Frenkel, and M. van der Hoef, J. Stat. Phys. 87, 1229 (1997).