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Mandal S, Schrack L, Löwen H, Sperl M, Franosch T. Persistent Anti-Correlations in Brownian Dynamics Simulations of Dense Colloidal Suspensions Revealed by Noise Suppression. PHYSICAL REVIEW LETTERS 2019; 123:168001. [PMID: 31702351 DOI: 10.1103/physrevlett.123.168001] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/24/2019] [Revised: 08/28/2019] [Indexed: 06/10/2023]
Abstract
Transport properties of a hard-sphere colloidal fluid are investigated by Brownian dynamics simulations. We implement a novel algorithm for the time-dependent velocity-autocorrelation function (VACF) essentially eliminating the noise of the bare random motion. The measured VACF reveals persistent anti-correlations manifested by a negative algebraic power-law tail t^{-5/2} at all densities. At small packing fractions the simulations fully agree with the analytic low-density prediction, yet the amplitude of the tail becomes dramatically suppressed as the packing fraction is increased. The mode-coupling theory of the glass transition provides a qualitative explanation for the strong variation in terms of the static compressibility as well as the slowing down of the structural relaxation.
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Affiliation(s)
- Suvendu Mandal
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany
| | - Lukas Schrack
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
| | - Hartmut Löwen
- Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225 Düsseldorf, Germany
| | - Matthias Sperl
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, 51170 Köln, Germany
- Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany
| | - Thomas Franosch
- Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria
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Singh J, Unlu Z, Ranganathan R, Griffiths P. Aggregate Properties of Sodium Deoxycholate and Dimyristoylphosphatidylcholine Mixed Micelles. J Phys Chem B 2008; 112:3997-4008. [DOI: 10.1021/jp077380w] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- Jasmeet Singh
- Department of Physics and Center for Supramolecular Studies, California State University, Northridge, California 91330-8268
| | - Zuleyha Unlu
- Department of Physics and Center for Supramolecular Studies, California State University, Northridge, California 91330-8268
| | - Radha Ranganathan
- Department of Physics and Center for Supramolecular Studies, California State University, Northridge, California 91330-8268
| | - Peter Griffiths
- School of Chemistry, Cardiff University, Main Building, Park Place, Cardiff, CF10 3AT U.K
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Giannopoulou A, Aletras AJ, Pharmakakis N, Papatheodorou GN, Yannopoulos SN. Dynamics of proteins: Light scattering study of dilute and dense colloidal suspensions of eye lens homogenates. J Chem Phys 2007; 127:205101. [DOI: 10.1063/1.2798758] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Affiliation(s)
- M. Fuchs
- a Physik-Department , Technische Universität München , 85747 , Garching , Germany
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Tegrotenhuis WE, Radke CJ, Denn MM. Self-Diffusion in Electrostatically Stabilized Colloidal Suspensions Using Brownian Dynamics. MOLECULAR SIMULATION 2006. [DOI: 10.1080/08927028908032780] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- W. E. Tegrotenhuis
- a Center for Advanced Materials, Lawrence Berkeley Laboratory and Department of Chemical Engineering , University of California , Berkeley , California , 94720 , USA
| | - C. J. Radke
- a Center for Advanced Materials, Lawrence Berkeley Laboratory and Department of Chemical Engineering , University of California , Berkeley , California , 94720 , USA
| | - M. M. Denn
- a Center for Advanced Materials, Lawrence Berkeley Laboratory and Department of Chemical Engineering , University of California , Berkeley , California , 94720 , USA
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Affiliation(s)
- R.J.A. Tough
- a Royal Signals and Radar Establishment , Malvern , Worcestershire , WR14 3PS , England
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Kanematsu T, Sato T, Imai Y, Ute K, Kitayama T. Mutual- and Self-Diffusion Coefficients of a Semiflexible Polymer in Solution. Polym J 2005. [DOI: 10.1295/polymj.37.65] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Dean DS, Lefèvre A. Self-diffusion in a system of interacting Langevin particles. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004; 69:061111. [PMID: 15244544 DOI: 10.1103/physreve.69.061111] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/15/2004] [Indexed: 05/24/2023]
Abstract
The behavior of the self-diffusion constant of Langevin particles interacting via a pairwise interaction is considered. The diffusion constant is calculated approximately within a perturbation theory in the potential strength about the bare diffusion constant. It is shown how this expansion leads to a systematic double expansion in the inverse temperature beta and the particle density rho. The one-loop diagrams in this expansion can be summed exactly and we show that this result is exact in the limit of small beta and rhobeta constants. The one-loop result can also be resummed using a semiphenomenological renormalization group method which has proved useful in the study of diffusion in random media. In certain cases the renormalization group calculation predicts the existence of a diverging relaxation time signaled by the vanishing of the diffusion constant, possible forms of divergence coming from this approximation are discussed. Finally, at a more quantitative level, the results are compared with numerical simulations, in two dimensions, of particles interacting via a soft potential recently used to model the interaction between coiled polymers.
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Affiliation(s)
- D S Dean
- DAMTP, CMS, University of Cambridge, Cambridge CB3 0WA, United Kingdom
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Banchio AJ, Nägele G, Bergenholtz J. Collective diffusion, self-diffusion and freezing criteria of colloidal suspensions. J Chem Phys 2000. [DOI: 10.1063/1.1286964] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pusey PN, Tough RJA. Langevin approach to the dynamics of interacting Brownian particles. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/15/4/030] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Wills PR. Wavevector dependence of the effective diffusion coefficient for solutions of macromolecules. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/14/11/030] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Rundquist PA, Kesavamoorthy R, Jagannathan S, Asher SA. Collective diffusion in colloidal crystals. J Chem Phys 1991. [DOI: 10.1063/1.461283] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Gallagher WH, Woodward CK. The concentration dependence of the diffusion coefficient for bovine pancreatic trypsin inhibitor: a dynamic light scattering study of a small protein. Biopolymers 1989; 28:2001-24. [PMID: 2480823 DOI: 10.1002/bip.360281115] [Citation(s) in RCA: 57] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
This paper reports the use of dynamic light scattering to investigate the concentration dependence of the diffusion coefficient for bovine pancreatic trypsin inhibitor (BPTI). BPTI is a small molecular weight protein (6511 Da) that has been the subject of numerous experimental studies. In addition to addressing questions that remain in the literature concerning the aggregation behavior of BPTI, we show that dynamic light scattering can be practically applied to proteins as small as BPTI, and that it can provide a useful means of parameterizing the solution behavior for proteins. We obtained values for the apparent diffusion coefficient of BPTI as a function of concentration over a range of pH values from 2.59 to 9.92 at an ionic strength of 0.3M, and over a range of ionic strength values from 0.1 to 0.5M at a pH of 7.0. The concentration dependence is linear for nearly all the conditions examined, even up to concentrations as high as 65 mg/mL. The average diffusion coefficient obtained at infinite dilution is 14.4 +/- 0.2 x 10(-7) cm2/s. This value agrees with that expected for a BPTI monomer hydrated with less than a monolayer of water. We used the theories of Felderhof, of Batchelor, and of Phillies, along with the DLVO theory to interpret the concentration dependence of the apparent diffusion coefficient. The variations observed with pH and ionic strength can be primarily attributed to screened coulombic interactions. In addition, there is an attractive interaction that is slightly stronger than the repulsive coulombic one, and that is essentially independent of pH and ionic strength. The attractive interactions appear to arise from nonspecific van der Waals interactions and do not lead to the formation of stable aggregates of BPTI.
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Haner RL, Schleich T. Measurement of translational motion by pulse-gradient spin-echo nuclear magnetic resonance. Methods Enzymol 1989; 176:418-46. [PMID: 2811696 DOI: 10.1016/0076-6879(89)76023-7] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023]
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HIRTZEL C, RAJAGOPALAN RAJ. SELF-DIFFUSION IN POTENTIALS OF MEAN FORCE IN WEAKLY- AND STRONGLY-INTERACTING DISPERSIONS. CHEM ENG COMMUN 1987. [DOI: 10.1080/00986448708911932] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- C.S. HIRTZEL
- a Department of Chemical Engineering and Materials Science , Syracuse University , Syracuse, NY, 13244
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Vizcarra‐Rendón A, Ruíz‐Estrada H, Medina‐Noyola M, Klein R. Electrolyte friction on charged spherical macroparticles: Beyond the Debye–Hückel limit. J Chem Phys 1987. [DOI: 10.1063/1.452051] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Yoshida N. Calculation of the self‐diffusion coefficient of interacting Brownian particles based on the time‐independent Smoluchowski equation. J Chem Phys 1985. [DOI: 10.1063/1.449003] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Venkatesan M, Hirtzel CS, Rajagopalan R. The effect of colloidal forces on the self‐diffusion coefficients in strongly interacting dispersions. J Chem Phys 1985. [DOI: 10.1063/1.448556] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Phillies GDJ, Ullmann GS, Ullmann K, Lin T. Phenomenological scaling laws for ‘‘semidilute’’ macromolecule solutions from light scattering by optical probe particles. J Chem Phys 1985. [DOI: 10.1063/1.448969] [Citation(s) in RCA: 86] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Phillies GDJ. Measurement of the (quasi)‐self‐diffusion coefficient of solutions of Brownian macroparticles. J Chem Phys 1984. [DOI: 10.1063/1.447785] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lekkerkerker HNW, Dhont JKG. On the calculation of the self‐diffusion coefficient of interacting Brownian particles. J Chem Phys 1984. [DOI: 10.1063/1.446602] [Citation(s) in RCA: 94] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Evans GT, James CP. A calculation of the self‐diffusion coefficient for a dilute solution of Brownian particles. J Chem Phys 1983. [DOI: 10.1063/1.445673] [Citation(s) in RCA: 33] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Yoshida N. Contribution of electrostatic interactions to the concentration dependence of the self-diffusion coefficient of brownian particles. Chem Phys Lett 1983. [DOI: 10.1016/0009-2614(83)80663-0] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Yoshida N. Concentration dependence of the self-diffusion coefficient of hard spheres in solution. Chem Phys Lett 1983. [DOI: 10.1016/0009-2614(83)87032-8] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Phillies GD. Non-hydrodynamic contribution to the concentration dependence of the self diffusion of interacting brownian macroparticles. Chem Phys 1983. [DOI: 10.1016/0301-0104(83)80022-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Phillies GDJ. The second order concentration corrections to the mutual diffusion coefficient of Brownian macroparticles. J Chem Phys 1982. [DOI: 10.1063/1.444136] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pusey P, Tough R. Dynamic light scattering, a probe of brownian particle dynamics. Adv Colloid Interface Sci 1982. [DOI: 10.1016/0001-8686(82)85014-8] [Citation(s) in RCA: 39] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Phillies GDJ, Wills PR. Light scattering spectrum of a suspension of interacting Brownian macromolecules. J Chem Phys 1981. [DOI: 10.1063/1.442058] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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