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Martínez-Rivera J, Villada-Balbuena A, Sandoval-Puentes MA, Egelhaaf SU, Méndez-Alcaraz JM, Castañeda-Priego R, Escobedo-Sánchez MA. Modeling the structure and thermodynamics of multicomponent and polydisperse hard-sphere dispersions with continuous potentials. J Chem Phys 2023; 159:194110. [PMID: 37982478 DOI: 10.1063/5.0168098] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2023] [Accepted: 10/25/2023] [Indexed: 11/21/2023] Open
Abstract
A model system of identical particles interacting via a hard-sphere potential is essential in condensed matter physics; it helps to understand in and out of equilibrium phenomena in complex fluids, such as colloidal dispersions. Yet, most of the fixed time-step algorithms to study the transport properties of those systems have drawbacks due to the mathematical nature of the interparticle potential. Because of this, mapping a hard-sphere potential onto a soft potential has been recently proposed [Báez et al., J. Chem. Phys. 149, 164907 (2018)]. More specifically, using the second virial coefficient criterion, one can set a route to estimate the parameters of the soft potential that accurately reproduces the thermodynamic properties of a monocomponent hard-sphere system. However, real colloidal dispersions are multicomponent or polydisperse, making it important to find an efficient way to extend the potential model for dealing with such kind of many-body systems. In this paper, we report on the extension and applicability of the second virial coefficient criterion to build a description that correctly captures the phenomenology of both multicomponent and polydisperse hard-sphere dispersions. To assess the accuracy of the continuous potentials, we compare the structure of soft polydisperse systems with their hard-core counterpart. We also contrast the structural and thermodynamic properties of soft binary mixtures with those obtained through mean-field approximations and the Ornstein-Zernike equation for the two-component hard-sphere dispersion.
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Affiliation(s)
- Jaime Martínez-Rivera
- División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque 103, Colonia Lomas del Campestre, 37150 León, Guanjuato, Mexico
| | | | - Miguel A Sandoval-Puentes
- División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque 103, Colonia Lomas del Campestre, 37150 León, Guanjuato, Mexico
| | - Stefan U Egelhaaf
- Condensed Matter Physics Laboratory, Heinrich Heine University, 40225 Düsseldorf, Germany
| | - José M Méndez-Alcaraz
- Departamento de Física, Cinvestav, Avenida Instituto Politécnico Nacional 2508, Colonia San Pedro Zacatenco, 07360 Ciudad de México, Mexico
| | - Ramón Castañeda-Priego
- Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque 103, Colonia Lomas del Campestre, 37150 León, Guanajuato, Mexico
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Singh A, Singh Y. Structure ordering and glass transition in size-asymmetric ternary mixtures of hard spheres: Variation from fragile to strong glasses. Phys Rev E 2023; 107:014119. [PMID: 36797956 DOI: 10.1103/physreve.107.014119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2022] [Accepted: 12/21/2022] [Indexed: 01/15/2023]
Abstract
We investigate the structure and activated dynamics of a binary mixture of colloidal particles dispersed in a solvent of much smaller-sized particles. The solvent degrees of freedom are traced out from the grand partition function of the colloid-solvent mixture which reduces the system from ternary to effective binary mixture of colloidal particles. In the effective binary mixture colloidal particles interact via effective potential that consists of bare potential plus the solvent-induced interaction. Expressions for the effective potentials and pair correlation functions are derived. We used the result of pair correlation functions to determine the number of particles in a cooperatively reorganizing cluster (CRC) in which localized particles form "long-lived" nonchemical bonds with the central particle. For an event of relaxation to take place these bonds have to reorganize irreversibly, the energy involved in the processes is the effective activation energy of relaxation. Results are reported for hard sphere colloidal particles dispersed in a solvent of hard sphere particles. Our results show that the concentration of solvent can be used as a control parameter to fine-tune the microscopic structural ordering and the size of CRC that governs the glassy dynamics. We show that a small variation in the concentration of solvent creates a bigger change in the kinetic fragility which highlights a wide variation in behavior, ranging from fragile to strong glasses. We conclude that the CRC which is determined from the static pair correlation function and the fluctuations embedded in the system is probably the sole player in the physics of glass transition.
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Affiliation(s)
- Ankit Singh
- Department of Physics, Banaras Hindu University, Varanasi 221 005, India
| | - Yashwant Singh
- Department of Physics, Banaras Hindu University, Varanasi 221 005, India
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3
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Vaibhav V, Horbach J, Chaudhuri P. Rheological response of a glass-forming liquid having large bidispersity. SOFT MATTER 2022; 18:4427-4436. [PMID: 35638914 DOI: 10.1039/d2sm00326k] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Using extensive numerical simulations, we investigate the flow behaviour of a model glass-forming binary mixture whose constituent particles have a large size ratio. The rheological response to applied shear is studied in the regime where the larger species are spatially predominant. We demonstrate that the macroscopic rigidity that emerges with increasing density occurs in the regime where the larger species undergo a glass transition while the smaller species continue to be highly diffusive. We analyse the interplay between the timescale imposed by the shear and the quiescent relaxation dynamics of the two species to provide a microscopic insight into the observed rheological response. Finally, by tuning the composition of the mixture, we illustrate that the systematic insertion of the smaller particles affects the rheology by lowering of viscosity of the system.
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Affiliation(s)
- Vinay Vaibhav
- The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India.
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
| | - Jürgen Horbach
- Institut für Theoretische Physik II, Heinrich-Heine-Universität Düsseldorf, Universitätsstraß e 1, 40225 Düsseldorf, Germany.
| | - Pinaki Chaudhuri
- The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India.
- Homi Bhabha National Institute, Anushaktinagar, Mumbai 400094, India
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Ikeda H, Miyazaki K, Yoshino H, Ikeda A. Multiple glass transitions and higher-order replica symmetry breaking of binary mixtures. Phys Rev E 2021; 103:022613. [PMID: 33736072 DOI: 10.1103/physreve.103.022613] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2017] [Accepted: 02/04/2021] [Indexed: 11/07/2022]
Abstract
We extend the replica liquid theory in order to describe the multiple glass transitions of binary mixtures with large size disparities, by taking into account the two-step replica symmetry breaking (2RSB). We determine the glass phase diagram of the mixture of large and small particles in the large-dimension limit where the mean-field theory becomes exact. When the size ratio of particles is beyond a critical value, the theory predicts three distinct glass phases; (i) the one-step replica symmetery breaking (1RSB) double glass where both components vitrify simultaneously, (ii) the 1RSB single glass where only large particles are frozen while small particles remain mobile, and (iii) a glass phase called the 2RSB double glass where both components vitrify simultaneously but with an energy landscape topography distinct from the 1RSB double glass.
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Affiliation(s)
- Harukuni Ikeda
- Graduate School of Arts and Sciences, The University of Tokyo 153-8902, Japan
| | | | - Hajime Yoshino
- Cybermedia Center, Osaka University, Toyonaka, Osaka 560-0043, Japan.,Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
| | - Atushi Ikeda
- Graduate School of Arts and Sciences, The University of Tokyo 153-8902, Japan
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Zirdehi EM, Dumlu H, Eggeler G, Varnik F. On the Size Effect of Additives in Amorphous Shape Memory Polymers. MATERIALS (BASEL, SWITZERLAND) 2021; 14:E327. [PMID: 33435200 PMCID: PMC7826723 DOI: 10.3390/ma14020327] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/13/2020] [Revised: 12/30/2020] [Accepted: 01/06/2021] [Indexed: 11/17/2022]
Abstract
Small additive molecules often enhance structural relaxation in polymers. We explore this effect in a thermoplastic shape memory polymer via molecular dynamics simulations. The additive-to-monomer size ratio is shown to play a key role here. While the effect of additive-concentration on the rate of shape recovery is found to be monotonic in the investigated range, a non-monotonic dependence on the size-ratio emerges at temperatures close to the glass transition. This work thus identifies the additives' size to be a qualitatively novel parameter for controlling the recovery process in polymer-based shape memory materials.
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Affiliation(s)
- Elias M. Zirdehi
- Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstr. 150, 44801 Bochum, Germany;
| | - Hakan Dumlu
- Institute for Materials (IFM), Ruhr-Universität Bochum, Universitätsstr. 150, 44801 Bochum, Germany; (H.D.); (G.E.)
| | - Gunther Eggeler
- Institute for Materials (IFM), Ruhr-Universität Bochum, Universitätsstr. 150, 44801 Bochum, Germany; (H.D.); (G.E.)
| | - Fathollah Varnik
- Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstr. 150, 44801 Bochum, Germany;
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Guevara-Pantoja FJ, Ruiz-Suárez JC. Nanovesicles drive a tunable dynamical arrest of microparticles. RSC Adv 2021; 11:24190-24195. [PMID: 35479007 PMCID: PMC9036661 DOI: 10.1039/d1ra04252a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/01/2021] [Accepted: 06/28/2021] [Indexed: 11/21/2022] Open
Abstract
Vitrification in a dilute colloidal system needs an asymmetric particle composition (a mixture of nano and micro colloids) to materialize. The volume fraction of the large particles increases (up to ≈0.58) driven by depletion forces produced by the smaller colloids. Such entropic forces are short-ranged and attractive. We found a different type of dynamical arrest in an extremely dilute asymmetric mixture of nanovesicles and polystyrene microparticles, where energy, instead of entropy, is the main protagonist to drive the arrest. Furthermore, when the vesicles go through the gel-fluid phase transition, the mean square displacements of the microparticles suffer a sudden splitting indicating a viscous jump. If the vesicles are doped with negatively charged lipids, particles and vesicles repel each other and the rheology of the mixture becomes athermal and Newtonian. Our findings are important to understand caging phenomena in biological systems, where diverse electrostatic distributions are present. A dynamical arrest in an extremely dilute asymmetric mixture of nanovesicles and polystyrene microparticles was discovered, where energy, instead of entropy, is the main mechanism to produce it.![]()
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Voigtmann T, Siebenbürger M, Amann CP, Egelhaaf SU, Fritschi S, Krüger M, Laurati M, Mutch KJ, Samwer KH. Rheology of colloidal and metallic glass formers. Colloid Polym Sci 2020. [DOI: 10.1007/s00396-020-04654-z] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
AbstractColloidal hard-sphere suspensions are convenient experimental models to understand soft matter, and also by analogy the structural-relaxation behavior of atomic or small-molecular fluids. We discuss this analogy for the flow and deformation behavior close to the glass transition. Based on a mapping of temperature to effective hard-sphere packing, the stress–strain curves of typical bulk metallic glass formers can be quantitatively compared with those of hard-sphere suspensions. Experiments on colloids give access to the microscopic structure under deformation on a single-particle level, providing insight into the yielding mechanisms that are likely also relevant for metallic glasses. We discuss the influence of higher-order angular signals in connection with non-affine particle rearrangements close to yielding. The results are qualitatively explained on the basis of the mode-coupling theory. We further illustrate the analogy of pre-strain dependence of the linear-elastic moduli using data on PS-PNiPAM suspensions.
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8
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Zirdehi EM, Voigtmann T, Varnik F. Multiple character of non-monotonic size-dependence for relaxation dynamics in polymer-particle and binary mixtures. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:275104. [PMID: 32287041 DOI: 10.1088/1361-648x/ab757c] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Adding plasticizers is a well-known procedure to reduce the glass transition temperature in polymers. It has been recently shown that this effect shows a non-monotonic dependence on the size of additive molecules (2019 J. Chem. Phys. 150 024903). In this work, we demonstrate that, as the size of the additive molecules is changed at fixed concentration, multiple extrema emerge in the dependence of the system's relaxation time on the size ratio. The effect occurs on all relevant length scales including single monomer dynamics, decay of Rouse modes and relaxation of the chain's end-to-end vector. A qualitatively similar trend is found within mode-coupling theoretical results for a binary hard-sphere mixture. An interpretation of the effect in terms of local packing efficiency and coupling between the dynamics of minority and majority species is provided.
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Affiliation(s)
- Elias M Zirdehi
- Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstraße 150, 44801 Bochum, Germany
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Majka M, Góra PF. Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics. Sci Rep 2019; 9:19661. [PMID: 31873077 PMCID: PMC6927984 DOI: 10.1038/s41598-019-54321-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2019] [Accepted: 11/11/2019] [Indexed: 11/09/2022] Open
Abstract
Spatially correlated noise (SCN), i.e. the thermal noise that affects neighbouring particles in a similar manner, is ubiquitous in soft matter systems. In this work, we apply the over-damped SCN-driven Langevin equations as an effective, one-component model of the dynamics in dense binary mixtures. We derive the thermodynamically consistent fluctuation-dissipation relation for SCN to show that it predicts the molecular arrest resembling the glass transition, i.e. the critical slow-down of dynamics in the disordered phases. We show that the mechanism of singular dissipation is embedded in the dissipation matrix, accompanying SCN. We are also able to identify the characteristic length of collective dissipation, which diverges at critical packing. This novel physical quantity conveniently describes the difference between the ergodic and non-ergodic dynamics. The model is fully analytically solvable, one-dimensional and admits arbitrary interactions between the particles. It qualitatively reproduces several different modes of arrested disorder encountered in binary mixtures, including e.g. the re-entrant arrest. The model can be effectively compared to the mode coupling theory.
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Affiliation(s)
- M Majka
- Jagiellonian University, Marian Smoluchowski Institute of Physics, ul. prof. Stanisława Łojasiewicza 11, 30-348, Kraków, Poland.
| | - P F Góra
- Jagiellonian University, Marian Smoluchowski Institute of Physics, ul. prof. Stanisława Łojasiewicza 11, 30-348, Kraków, Poland
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Martinez-Sotelo E, Escobedo-Sánchez MA, Laurati M. Effect of size disparity on the structure and dynamics of the small component in concentrated binary colloidal mixtures. J Chem Phys 2019; 151:164504. [PMID: 31675880 DOI: 10.1063/1.5122306] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Abstract
We determined, using confocal microscopy, the structure and dynamics of the small component in concentrated binary colloidal mixtures with moderate and large size ratios and different compositions of Polymethyl methacrylate particles. We show that when increasing the content of small spheres at fixed total volume fraction, a transition in the local environment of the small particles is observed, from a mixed environment of other small and large particles to a local environment of only small particles. The transition is rather abrupt for moderate size ratios, while it becomes particularly broad for large size ratios. This can be associated with the improved ability of the small particles to pack in between the large particles for larger size ratios. The dynamics reflect the transition with an increase of the mobility observed at intermediate mixing. This increase becomes particularly pronounced for large size ratios, leading to diffusive dynamics of the small particles, in agreement with predictions of theories of the glass transition in binary hard-sphere mixtures. The composition at which the fastest dynamics are observed is apparently independent of the size ratio.
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Affiliation(s)
- E Martinez-Sotelo
- División de Ciencias e Ingenierás, Universidad de Guanajuato, Loma del Bosque 103, 37150 León, Mexico
| | - M A Escobedo-Sánchez
- Soft Matter Laboratory, Heinrich-Heine University, Universitätsstrasse 1, 42150 Düsseldorf, Germany
| | - M Laurati
- División de Ciencias e Ingenierás, Universidad de Guanajuato, Loma del Bosque 103, 37150 León, Mexico
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11
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Higler R, Frijns RAM, Sprakel J. Diffusion Decoupling in Binary Colloidal Systems Observed with Contrast Variation Multispeckle Diffusing Wave Spectroscopy. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:5793-5801. [PMID: 30955341 PMCID: PMC6495389 DOI: 10.1021/acs.langmuir.8b03745] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/06/2018] [Revised: 03/07/2019] [Indexed: 06/09/2023]
Abstract
In the study of colloidal glasses, crystallization is often suppressed by leveraging size polydispersity, ranging from systems where particle sizes exhibit a continuous distribution to systems composed of particles of two or more distinct sizes. The effects of the disparities in size of the particles on the colloidal glass transition are not yet completely understood. Especially, the question of the existence of a decoupled glass transition between the large and small population remains. In order to measure colloidal dynamics on very long time scales and to disentangle the dynamics of the two populations, we employ contrast variation multispeckle diffusing wave spectroscopy. With this method, we aim to analyze the effect of size ratio, a = rPS/ rpNIPAM, on particle dynamics near the glass transition of a binary colloidal system. We find that both for long-time (α-) and short-time (β-) relaxation, the dynamics of the small particles either completely decouple from the large ones ( a = 0.2), moving freely through a glassy matrix, or are identical to the dynamics of the larger-sized population ( a = 0.37 and 1.44). For a size ratio of 0.37, we find a single-glass transition for both particle populations. The postulated double-glass transition in simulations and theory is not observed.
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Affiliation(s)
- Ruben Higler
- Physical Chemistry and Soft Matter, Wageningen University, 6708 WE Wageningen, The Netherlands
| | - Raoul A. M. Frijns
- Physical Chemistry and Soft Matter, Wageningen University, 6708 WE Wageningen, The Netherlands
| | - Joris Sprakel
- Physical Chemistry and Soft Matter, Wageningen University, 6708 WE Wageningen, The Netherlands
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12
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Lázaro-Lázaro E, Perera-Burgos JA, Laermann P, Sentjabrskaja T, Pérez-Ángel G, Laurati M, Egelhaaf SU, Medina-Noyola M, Voigtmann T, Castañeda-Priego R, Elizondo-Aguilera LF. Glassy dynamics in asymmetric binary mixtures of hard spheres. Phys Rev E 2019; 99:042603. [PMID: 31108620 DOI: 10.1103/physreve.99.042603] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2018] [Indexed: 06/09/2023]
Abstract
We perform a systematic and detailed study of the glass transition in highly asymmetric binary mixtures of colloidal hard spheres, combining differential dynamic microscopy experiments, event-driven molecular dynamics simulations, and theoretical calculations, exploring the whole state diagram and determining the self-dynamics and collective dynamics of both species. Two distinct glassy states involving different dynamical arrest transitions are consistently described, namely, a double glass with the simultaneous arrest of the self-dynamics and collective dynamics of both species, and a single glass of large particles in which the self-dynamics of the small species remains ergodic. In the single-glass scenario, spatial modulations in the collective dynamics of both species occur due to the structure of the large spheres, a feature not observed in the double-glass domain. The theoretical results, obtained within the self-consistent generalized Langevin equation formalism, are in agreement with both simulations and experimental data, thus providing a stringent validation of this theoretical framework in the description of dynamical arrest in highly asymmetric mixtures. Our findings are summarized in a state diagram that classifies the various amorphous states of highly asymmetric mixtures by their dynamical arrest mechanisms.
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Affiliation(s)
- Edilio Lázaro-Lázaro
- Instituto de Física Manuel Sandoval Vallarta, Universidad Autónoma de San Luis Potosí, Alvaro Obregón 64, 78000 San Luis Potosí, San Luis Potosí, Mexico
| | - Jorge Adrián Perera-Burgos
- CONACYT-Unidad de Ciencias del Agua, Centro de Investigación Científica de Yucatán A.C. (CICY), Calle 8, No. 39, Mz. 29, S.M. 64, 77524 Cancún, Quintana Roo, Mexico
| | - Patrick Laermann
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, 40225 Düsseldorf, Germany
| | - Tatjana Sentjabrskaja
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, 40225 Düsseldorf, Germany
| | - Gabriel Pérez-Ángel
- Departamento de Física Aplicada, Cinvestav, Unidad Mérida, Apartado Postal 73 Cordemex, 97310 Mérida, Yucatán, Mexico
| | - Marco Laurati
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, 40225 Düsseldorf, Germany
- Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Universidad de Guanajuato, Loma del Bosque 103, 37150 León, Mexico
| | - Stefan U Egelhaaf
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstraße 1, 40225 Düsseldorf, Germany
| | - Magdaleno Medina-Noyola
- Instituto de Física Manuel Sandoval Vallarta, Universidad Autónoma de San Luis Potosí, Alvaro Obregón 64, 78000 San Luis Potosí, San Luis Potosí, Mexico
- Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Universidad de Guanajuato, Loma del Bosque 103, 37150 León, Mexico
| | - Thomas Voigtmann
- Department of Physics, Heinrich Heine University, Universitätsstraße 1, 40225 Düsseldorf, Germany
- Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft-und Raumfahrt (DLR), Linder Höhe 51170, Köln, Germany
| | - Ramón Castañeda-Priego
- Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Universidad de Guanajuato, Loma del Bosque 103, 37150 León, Mexico
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13
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Sentjabrskaja T, Jacob AR, Egelhaaf SU, Petekidis G, Voigtmann T, Laurati M. Binary colloidal glasses: linear viscoelasticity and its link to the microscopic structure and dynamics. SOFT MATTER 2019; 15:2232-2244. [PMID: 30794267 DOI: 10.1039/c8sm01349g] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
We study the relation between the microscopic structure and dynamics and the macroscopic rheological response of glass-forming colloidal suspensions, namely binary colloidal hard-sphere mixtures with large size asymmetry (1 : 5) that span a large range of mixture compositions close to the glass transition. The dynamical shear moduli are measured by oscillatory rheology and the structure and dynamics on the single-particle level by confocal microscopy. The data are compared with Brownian Dynamics simulations and predictions from mode-coupling theory based on the Percus-Yevick approximation. Experiments, simulations and theory consistently observe a strong decrease of the intermediate-frequency mechanical moduli combined with faster dynamics at intermediate mixing ratios and hence a non-monotonic dependence of these parameters but a localization of the large particles which decreases monotonically as the fraction of small particles is increased. We find that the Generalized-Stokes Einstein relation applied to the mean square displacements of the two components leads to a reasonable estimate of the shear moduli of the mixtures and hence links the rheological response to the particle dynamics which in turn reflects the microscopic structure.
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14
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Welker A, Cronenberg T, Zöllner R, Meel C, Siewering K, Bender N, Hennes M, Oldewurtel ER, Maier B. Molecular Motors Govern Liquidlike Ordering and Fusion Dynamics of Bacterial Colonies. PHYSICAL REVIEW LETTERS 2018; 121:118102. [PMID: 30265121 DOI: 10.1103/physrevlett.121.118102] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2017] [Revised: 06/09/2018] [Indexed: 06/08/2023]
Abstract
Bacteria can adjust the structure of colonies and biofilms to enhance their survival rate under external stress. Here, we explore the link between bacterial interaction forces and colony structure. We show that the activity of extracellular pilus motors enhances local ordering and accelerates fusion dynamics of bacterial colonies. The radial distribution function of mature colonies shows local fluidlike order. The degree and dynamics of ordering are dependent on motor activity. At a larger scale, the fusion dynamics of two colonies shows liquidlike behavior whereby motor activity strongly affects surface tension and viscosity.
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Affiliation(s)
- Anton Welker
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Tom Cronenberg
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Robert Zöllner
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Claudia Meel
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Katja Siewering
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Niklas Bender
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Marc Hennes
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Enno R Oldewurtel
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
| | - Berenike Maier
- Institute for Biological Physics, University of Cologne, Zülpicher Straße 77, 50937 Köln, Germany
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15
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Liu X, Liu W, Carr AJ, Santiago Vazquez D, Nykypanchuk D, Majewski PW, Routh AF, Bhatia SR. Stratification during evaporative assembly of multicomponent nanoparticle films. J Colloid Interface Sci 2018; 515:70-77. [DOI: 10.1016/j.jcis.2018.01.005] [Citation(s) in RCA: 32] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2017] [Revised: 12/31/2017] [Accepted: 01/02/2018] [Indexed: 11/30/2022]
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16
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Capellmann RF, Khisameeva A, Platten F, Egelhaaf SU. Dense colloidal mixtures in an external sinusoidal potential. J Chem Phys 2018; 148:114903. [PMID: 29566498 DOI: 10.1063/1.5013007] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Concentrated binary colloidal mixtures containing particles with a size ratio 1:2.4 were exposed to a periodic potential that was realized using a light field, namely, two crossed laser beams creating a fringe pattern. The arrangement of the particles was recorded using optical microscopy and characterized in terms of the pair distribution function along the minima, the occupation probability perpendicular to the minima, the angular bond distribution, and the average potential energy per particle. The particle arrangement was investigated in dependence of the importance of particle-potential and particle-particle interactions by changing the potential amplitude and particle concentration, respectively. An increase in the potential amplitude leads to a stronger localization, especially of the large particles, but also results in an increasing fraction of small particles being located closer to the potential maxima, which also occurs upon increasing the particle density. Furthermore, increasing the potential amplitude induces a local demixing of the two particle species, whereas an increase in the total packing fraction favors a more homogeneous arrangement.
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Affiliation(s)
- R F Capellmann
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstr. 1, 40225 Düsseldorf, Germany
| | - A Khisameeva
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstr. 1, 40225 Düsseldorf, Germany
| | - F Platten
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstr. 1, 40225 Düsseldorf, Germany
| | - S U Egelhaaf
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstr. 1, 40225 Düsseldorf, Germany
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17
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Lázaro-Lázaro E, Moreno-Razo JA, Medina-Noyola M. Anomalous dynamic arrest of non-interacting spheres (“polymer”) diluted in a hard-sphere (“colloid”) liquid. J Chem Phys 2018; 148:104505. [DOI: 10.1063/1.5017733] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Affiliation(s)
- E. Lázaro-Lázaro
- Instituto de Física “Manuel Sandoval Vallarta,” Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, SLP, Mexico
| | - J. A. Moreno-Razo
- Departamento de Física, Universidad Autónoma Metropolitana, Iztapalapa, C.P.72000 Mexico, D.F., Mexico
| | - M. Medina-Noyola
- Instituto de Física “Manuel Sandoval Vallarta,” Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, SLP, Mexico
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18
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Laurati M, Sentjabrskaja T, Ruiz-Franco J, Egelhaaf SU, Zaccarelli E. Different scenarios of dynamic coupling in glassy colloidal mixtures. Phys Chem Chem Phys 2018; 20:18630-18638. [DOI: 10.1039/c8cp02559b] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
The composition of mixtures determines the mechanism of glass formation and dynamic coupling of different species.
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Affiliation(s)
- Marco Laurati
- División de Ciencias e Ingenierías
- Campus León
- Universidad de Guanajuato
- Loma del Bosque 103
- Lomas del Campestre
| | | | - José Ruiz-Franco
- Dipartimento di Fisica
- Università di Roma La Sapienza
- Roma 00185
- Italy
| | - Stefan U. Egelhaaf
- Condensed Matter Physics Laboratory
- Heinrich Heine University
- 40225 Düsseldorf
- Germany
| | - Emanuela Zaccarelli
- Dipartimento di Fisica
- Università di Roma La Sapienza
- Roma 00185
- Italy
- CNR-ISC (Institute for Complex Systems of National Research Council)
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19
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Das R, Chakrabarty S, Karmakar S. Pinning susceptibility: a novel method to study growth of amorphous order in glass-forming liquids. SOFT MATTER 2017; 13:6929-6937. [PMID: 28837203 DOI: 10.1039/c7sm01202k] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The existence and growth of amorphous order in supercooled liquids approaching glass transition is a subject of intense research. Even after decades of work, there is still no clear consensus on the molecular mechanisms that lead to a rapid slowing down of liquid dynamics approaching this putative transition. The existence of a correlation length associated with amorphous order has recently been postulated and has also been estimated using multi-point correlation functions which cannot be calculated easily in experiments. Thus the study of growing amorphous order remains mostly restricted to systems like colloidal glasses and simulations of model glass-forming liquids. In this work, we propose an experimentally realizable yet simple susceptibility to study the growth of amorphous order. We then demonstrate the validity of this approach for a few well-studied model supercooled liquids and obtain results which are consistent with other conventional methods.
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Affiliation(s)
- Rajsekhar Das
- TIFR Center for Interdisciplinary Science, Tata Institute of Fundamental Research, Narsingi, Hyderabad 500075, India.
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20
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Heckendorf D, Mutch KJ, Egelhaaf SU, Laurati M. Size-Dependent Localization in Polydisperse Colloidal Glasses. PHYSICAL REVIEW LETTERS 2017; 119:048003. [PMID: 29341743 DOI: 10.1103/physrevlett.119.048003] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/13/2017] [Indexed: 06/07/2023]
Abstract
We have investigated concentrated suspensions of polydisperse hard spheres and have determined the dynamics and sizes of individual particles using confocal microscopy. With increasing concentration, the dynamics of the small and large particles start to differ. The large particles exhibit slower dynamics and stronger localization. Moreover, as the particle size increases, the local volume fraction ϕ_{loc} also increases. In the glass state, the localization length significantly decreases beyond ϕ_{loc}≈0.67. This suggests a link between local crowding and dynamical heterogeneities. However dynamical arrest of subpopulations seems not directly linked to a large value of ϕ_{loc}, indicating the importance of collective effects.
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Affiliation(s)
- D Heckendorf
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstrasse 1, 40225 Düsseldorf, Germany
| | - K J Mutch
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstrasse 1, 40225 Düsseldorf, Germany
| | - S U Egelhaaf
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstrasse 1, 40225 Düsseldorf, Germany
| | - M Laurati
- Condensed Matter Physics Laboratory, Heinrich Heine University, Universitätsstrasse 1, 40225 Düsseldorf, Germany
- División de Ciencias e Ingenierías, Universidad de Guanajuato, Loma del Bosque 103, 37150 León, Mexico
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21
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Park N, Conrad JC. Phase behavior of colloid-polymer depletion mixtures with unary or binary depletants. SOFT MATTER 2017; 13:2781-2792. [PMID: 28345105 DOI: 10.1039/c6sm02891h] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Adding depletants to a colloidal suspension induces an attractive interparticle interaction that can be tuned to obtain desired structures or to probe phase behavior. When the depletant is not uniform in size, however, both the range and strength of the attraction become difficult to predict and hence control. We investigated the effects of depletant bidispersity on the non-equilibrium phase behavior of colloid-polymer mixtures. We added unary or binary mixtures of polystyrene as the depletant to suspensions of charged poly(methyl methacrylate) particles. The structure and dynamics of the particles were compared over three sets of samples with various mixtures of two different polystyrenes whose size varied by an order of magnitude. The structure and dynamics were nearly independent of depletant dispersity if the polymer concentration was represented as a sum of normalized concentrations of each species. Near the transition region between a fluid of clusters and an interconnected gel at intermediate volume fractions, partitioning of polymers in a binary mixture into colloid-rich and polymer-rich phase leads to a slightly different gelation pathway.
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Affiliation(s)
- Nayoung Park
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, TX 77204-4004, USA.
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22
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Ramírez-González PE, Sanchéz-Díaz LE, Medina-Noyola M, Wang Y. Communication: Probing the existence of partially arrested states in ionic liquids. J Chem Phys 2016; 145:191101. [DOI: 10.1063/1.4967518] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
Affiliation(s)
- Pedro E. Ramírez-González
- CONACYT - Instituto de Física “Manuel Sandoval Vallarta,” Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, SLP, Mexico
| | - Luis E. Sanchéz-Díaz
- Department of Materials Science and Engineering, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - Magdaleno Medina-Noyola
- Instituto de Física “Manuel Sandoval Vallarta,” Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000 San Luis Potosí, SLP, Mexico
| | - Yanting Wang
- State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 55 East Zhongguancun Road, P.O. Box 2735, Beijing 100190, China
- School of Physical Sciences, University of Chinese Academy of Sciences, 19A Yuquan Road, Beijing 100049, China
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Directed percolation identified as equilibrium pre-transition towards non-equilibrium arrested gel states. Nat Commun 2016; 7:11817. [PMID: 27279005 PMCID: PMC4906224 DOI: 10.1038/ncomms11817] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2015] [Accepted: 05/03/2016] [Indexed: 11/25/2022] Open
Abstract
The macroscopic properties of gels arise from their slow dynamics and load-bearing network structure, which are exploited by nature and in numerous industrial products. However, a link between these structural and dynamical properties has remained elusive. Here we present confocal microscopy experiments and simulations of gel-forming colloid–polymer mixtures. They reveal that gel formation is preceded by continuous and directed percolation. Both transitions lead to system-spanning networks, but only directed percolation results in extremely slow dynamics, ageing and a shrinking of the gel that resembles synaeresis. Therefore, dynamical arrest in gels is found to be linked to a structural transition, namely directed percolation, which is quantitatively associated with the mean number of bonded neighbours. Directed percolation denotes a universality class of transitions. Our study hence connects gel formation to a well-developed theoretical framework, which now can be exploited to achieve a detailed understanding of arrested gels. Gels exhibit very slow dynamics, for which a structural reason remains elusive. Here, Kohl et al. show the gel formation is accompanied by a succession of continuous and directed percolation, with only the latter found to lead to the arrested dynamics.
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24
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Pandey R, Conrad JC. Gelation in mixtures of polymers and bidisperse colloids. Phys Rev E 2016; 93:012610. [PMID: 26871125 DOI: 10.1103/physreve.93.012610] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/23/2015] [Indexed: 06/05/2023]
Abstract
We investigated the effects of varying the volume fraction of large particles (r) on the linear rheology and microstructure of mixtures of polymers and bidisperse colloids, in which the ratio of the small and large particle diameters was α=0.31 or α=0.45. Suspensions formulated at a total volume fraction of ϕ_{T}=0.15 and a constant concentration of polymer in the free volume c/c^{*}≈0.7 contained solid-like gels for small r and fluids or fluids of clusters at large r. The solid-like rheology and microstructure of these suspensions changed little with r when r was small, and fluidized only when r>0.8. By contrast, dense suspensions with ϕ_{T}=0.40 and α=0.31 contained solid-like gels at all concentrations of large particles and exhibited only modest rheological and microstructural changes upon varying the volume fraction of large particles. These results suggest that the effect of particle-size dispersity on the properties of colloid-polymer mixtures are asymmetric in particle size and are most pronounced near a gelation boundary.
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Affiliation(s)
- Rahul Pandey
- Department of Chemical & Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, USA
| | - Jacinta C Conrad
- Department of Chemical & Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, USA
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