1
|
Ryu BK, Fenton SM, Nguyen TTD, Helgeson M, Zia RN. Modeling colloidal interactions that predict equilibrium and non-equilibrium states. J Chem Phys 2022; 156:224101. [DOI: 10.1063/5.0086650] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Modulating the interaction potential between colloids suspended in a fluid can trigger equilibrium phase transitions as well as formation of non-equilibrium 'arrested states' such as gels and glasses. Faithful representation of such interactions are essential for using simulation to interrogate the microscopic details of non-equilibrium behavior, and for extrapolating observations to new regions of phase space that are difficult to explore in experiment. Although the extended law of corresponding states predicts equilibrium phases for systems with short-ranged interactions, it proves inadequate for equilibrium predictions of systems with longer-ranged interactions, and for predicting non-equilibrium phenomena in systems with either short-ranged or long-ranged interactions. These shortcomings highlight the need for new approaches to represent and disambiguate interaction potentials that replicate both equilibrium and non-equilibrium phase behavior. In this work, we use experiments and simulations to study a system with long-ranged thermoresponsive colloidal interactions and explore whether a resolution to this challenge can be found in regions of the phase diagram where temporal effects influence material state. We demonstrate that the conditions for non-equilibrium arrest by colloidal gelation are sensitive to both the shape of the interaction potential and the thermal quench rate. We exploit this sensitivity to propose a kinetics-based algorithm to extract distinct arrest conditions for candidate potentials that accurately selects between potentials that differ in shape but share the same predicted equilibrium structure. The method reveals that each potential has a quantitatively distinct arrest line, providing insight into how the shape of longer-ranged potentials influences the conditions for colloidal gelation.
Collapse
Affiliation(s)
- Brian K Ryu
- Stanford University, United States of America
| | - Scott M Fenton
- University of California Santa Barbara, United States of America
| | | | - Matthew Helgeson
- University of California Santa Barbara, United States of America
| | - Roseanna N. Zia
- Chemical Engineering, Stanford University, United States of America
| |
Collapse
|
2
|
Munguía-Valadez J, Chávez-Rojo MA, Sambriski EJ, Moreno-Razo JA. The generalized continuous multiple step (GCMS) potential: model systems and benchmarks. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:184002. [PMID: 35090143 DOI: 10.1088/1361-648x/ac4fe8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/05/2021] [Accepted: 01/28/2022] [Indexed: 06/14/2023]
Abstract
The generalized continuous multiple step (GCMS) potential is presented in this work. Its flexible form allows forrepulsiveand/orattractivecontributions to be encoded through adjustable energy and length scales. The GCMS interaction provides a continuous representation of square-well, square-shoulder potentials and their variants for implementation in computer simulations. A continuous and differentiable energy representation is required to derive forces in conventional simulation algorithms. Molecular dynamics simulations are of particular interest when considering the dynamic properties of a system. The GCMS potential can mimic other interactions with a judicious choice of parameters due to the versatile sigmoid form. In this study, our benchmarks for the GCMS representation include triangular, Yukawa, Franzese, and Lennard-Jones potentials. Comparisons made with published data on volumetric phase diagrams, liquid structure, and diffusivity from model systems are in excellent agreement.
Collapse
Affiliation(s)
- Jorge Munguía-Valadez
- Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Avenida San Rafael Atlixco No. 186, Colonia Vicentina, Delegación Iztapalapa, Mexico City 09340 Mexico
| | - Marco Antonio Chávez-Rojo
- Facultad de Ciencias Químicas, Universidad Autónoma de Chihuahua, Circuito Universitario s/n, Campus II, Chihuahua, Chihuahua 31125, Mexico
| | - Edward John Sambriski
- Department of Chemistry, Delaware Valley University, 700 East Butler Avenue, Doylestown, PA 18901 United States of America
| | - José Antonio Moreno-Razo
- Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Avenida San Rafael Atlixco No. 186, Colonia Vicentina, Delegación Iztapalapa, Mexico City 09340 Mexico
| |
Collapse
|
3
|
Vericat F, Carlevaro CM, Stoico CO, Renzi DG. Clustering and percolation theory for continuum systems: Clusters with nonspecific bonds and a residence time in their definition. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2017.11.046] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
4
|
Helgeson ME. Colloidal behavior of nanoemulsions: Interactions, structure, and rheology. Curr Opin Colloid Interface Sci 2016. [DOI: 10.1016/j.cocis.2016.06.006] [Citation(s) in RCA: 56] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
|
5
|
Gao Y, Kim J, Helgeson ME. Microdynamics and arrest of coarsening during spinodal decomposition in thermoreversible colloidal gels. SOFT MATTER 2015; 11:6360-6370. [PMID: 26100757 DOI: 10.1039/c5sm00851d] [Citation(s) in RCA: 57] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Coarsening and kinetic arrest of colloidal systems undergoing spinodal decomposition (SD) is a conserved motif for forming hierarchical, bicontinuous structures. Although the thermodynamic origins of SD in colloids are widely known, the microstructural processes responsible for its coarsening and associated dynamics en route to arrest remain elusive. To better elucidate the underlying large-scale microdynamical processes, we study a colloidal system with moderate-range attractions which displays characteristic features of arrested SD, and study its dynamics during coarsening through a combination of differential dynamic microscopy and real-space tracking. Using these recently developed imaging techniques, we reveal directly that the coarsening arises from collective dynamics of dense domains, which undergo slow, intermittent, and ballistic motion. These collective motions indicate interfacial effects to be the driving force of coarsening. The nature of the gelation enables control of the arrested length scale of coarsening by the depths of quenching into the spinodal regime, which we demonstrate to provide an effective means to control the elasticity of colloidal gels.
Collapse
Affiliation(s)
- Yongxiang Gao
- Department of Chemical Engineering, University of California Santa Barbara, Santa Barbara, CA 93105-5080, USA.
| | | | | |
Collapse
|
6
|
Valadez-Pérez NE, Castañeda-Priego R, Liu Y. Percolation in colloidal systems with competing interactions: the role of long-range repulsion. RSC Adv 2013. [DOI: 10.1039/c3ra44588g] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
|
7
|
Babu S, Gimel JC, Nicolai T. Self-diffusion of reversibly aggregating spheres. J Chem Phys 2007; 127:054503. [PMID: 17688345 DOI: 10.1063/1.2756838] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Reversible diffusion limited cluster aggregation of hard spheres with rigid bonds was simulated and the self-diffusion coefficient was determined for equilibrated systems. The effect of increasing attraction strength was determined for systems at different volume fractions and different interaction ranges. It was found that the slowing down of the diffusion coefficient due to crowding is decoupled from that due to cluster formation. The diffusion coefficient could be calculated from the cluster size distribution and became zero only at infinite attraction strength when permanent gels are formed. It is concluded that so-called attractive glasses are not formed at finite interaction strength.
Collapse
Affiliation(s)
- Sujin Babu
- Polymères Colloïdes Interfaces, CNRS UMR6120, Université du Maine, F-72085 Le Mans cedex 9, France
| | | | | |
Collapse
|
8
|
Babu S, Gimel JC, Nicolai T. Phase separation and percolation of reversibly aggregating spheres with a square-well attraction potential. J Chem Phys 2006; 125:184512. [PMID: 17115770 DOI: 10.1063/1.2378832] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Reversible aggregation of spheres is simulated using a novel method in which clusters of bound spheres diffuse collectively with a diffusion coefficient proportional to their radius. It is shown that the equilibrium state is the same as with other simulation techniques, but with the present method more realistic kinetics are obtained. The behavior as a function of volume fraction and interaction strength was tested for two different attraction ranges. The binodal and the percolation threshold were determined. The cluster structure and size distribution close to the percolation threshold were found to be consistent with the percolation model. Close to the binodal phase separation occurred through the growth of spherical dense domains, while for deep quenches a system spanning network is formed that coarsens with a rate that decreases with increasing attraction. We found no indication for arrest of the coarsening.
Collapse
Affiliation(s)
- Sujin Babu
- Polymères Colloïdes Interfaces, CNRS UMR 6120, Université du Maine, F-72085 Le Mans Cedex 9, France
| | | | | |
Collapse
|
9
|
Heyes D. Cluster analysis and continuum percolation of 3D square-well phases MC and PY solutions. Mol Phys 2006. [DOI: 10.1080/00268979000100401] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- D.M. Heyes
- a Department of Chemistry , Royal Holloway and Bedford New College, University of London , Egham , Surrey , TW20 0EX , England
| |
Collapse
|
10
|
Bergenholtz J, Wu P, Wagner N, D'Aguanno B. HMSA integral equation theory for the square-well fluid. Mol Phys 2006. [DOI: 10.1080/00268979600100221] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- J. Bergenholtz
- a Colburn Laboratory, Department of Chemical Engineering , University of Delaware , Newark , Delaware , 19716 , USA
| | - P. Wu
- a Colburn Laboratory, Department of Chemical Engineering , University of Delaware , Newark , Delaware , 19716 , USA
| | - N.J. Wagner
- a Colburn Laboratory, Department of Chemical Engineering , University of Delaware , Newark , Delaware , 19716 , USA
| | - B. D'Aguanno
- b CRS4, Centro Di Ricerca, Sviluppo E Studi Superiori in Sardegna , 09100 , Cagliari , Italy
| |
Collapse
|
11
|
Danwanichakul P, Glandt ED. Particle connectedness and cluster formation in sequential depositions of particles: Integral-equation theory. J Chem Phys 2004; 121:9684-92. [PMID: 15538892 DOI: 10.1063/1.1806816] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We applied the integral-equation theory to the connectedness problem. The method originally applied to the study of continuum percolation in various equilibrium systems was modified for our sequential quenching model, a particular limit of an irreversible adsorption. The development of the theory based on the (quenched-annealed) binary-mixture approximation includes the Ornstein-Zernike equation, the Percus-Yevick closure, and an additional term involving the three-body connectedness function. This function is simplified by introducing a Kirkwood-like superposition approximation. We studied the three-dimensional (3D) system of randomly placed spheres and 2D systems of square-well particles, both with a narrow and with a wide well. The results from our integral-equation theory are in good accordance with simulation results within a certain range of densities.
Collapse
Affiliation(s)
- Panu Danwanichakul
- Department of Chemical Engineering, Faculty of Engineering, Thammasat University, Klong-Luang, Pathumthani 12120, Thailand.
| | | |
Collapse
|
12
|
Pugnaloni LA, Vericat F. New criteria for cluster identification in continuum systems. J Chem Phys 2002. [DOI: 10.1063/1.1427723] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
13
|
Pugnaloni LA, Vericat F. Clustering and continuum percolation of hard spheres near a hard wall: Monte Carlo simulation and connectedness theory. J Chem Phys 1999. [DOI: 10.1063/1.478284] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
14
|
Chiew YC, Glandt ED. Continuum percolation and pair-connectedness function in binary mixtures of strongly interacting particles. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/22/18/030] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
|
15
|
Kaneko T. Percolation in fluid mixtures containing adhesive charged hard spheres. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:6134-6143. [PMID: 9964975 DOI: 10.1103/physreve.53.6134] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
16
|
Drory A, Balberg I, Berkowitz B. Application of the central-particle-potential approximation for percolation in interacting systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:4482-4494. [PMID: 9963921 DOI: 10.1103/physreve.52.4482] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
17
|
|
18
|
Drory A, Balberg I, Berkowitz B. Random-adding determination of percolation thresholds in interacting systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:R949-R952. [PMID: 9961405 DOI: 10.1103/physreve.49.r949] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
19
|
Peyrelasse J, Boned C, Saidi Z. Quantitative determination of the percolation threshold in waterless microemulsions. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 47:3412-3417. [PMID: 9960393 DOI: 10.1103/physreve.47.3412] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
20
|
Weist AO, Glandt ED. Thermodynamics and gelation of dimerizing adhesive spheres. J Chem Phys 1992. [DOI: 10.1063/1.463936] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
21
|
A simple percolating fluid model for the morphology of the passive layer formed on a lithium anode. J Electroanal Chem (Lausanne) 1992. [DOI: 10.1016/0022-0728(92)85001-j] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
|
22
|
Weist AO, Glandt ED. Clustering and percolation for dimerizing penetrable spheres. J Chem Phys 1991. [DOI: 10.1063/1.461264] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
23
|
Frith WJ, Buscall R. Percolation and critical exponents on randomly close‐packed mixtures of hard spheres. J Chem Phys 1991. [DOI: 10.1063/1.461619] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
24
|
|
25
|
Sevick EM, Monson PA. Cluster integrals for square well particles: Application to percolation. J Chem Phys 1991. [DOI: 10.1063/1.459830] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
26
|
Laría D, Vericat F. Clustering and percolation in dipolar hard-sphere fluids. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:1932-1939. [PMID: 9905233 DOI: 10.1103/physreva.43.1932] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
27
|
|
28
|
Heyes DM, Melrose JR. Continuum Percolation of2Dand 3DSimple Fluids. MOLECULAR SIMULATION 1990. [DOI: 10.1080/08927029008022418] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
29
|
Chiew YC, Stell G. Connectivity and percolation of randomly centered spheres: Correction to the Percus–Yevick approximation. J Chem Phys 1989. [DOI: 10.1063/1.456595] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
30
|
Wu G, Chiew YC. Selective particle clustering and percolation in binary mixtures of randomly centered spheres. J Chem Phys 1989. [DOI: 10.1063/1.456545] [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
|
31
|
Sevick EM, Monson PA, Ottino JM. Clustering and percolation in assemblies of anisotropic particles: Perturbation theory and Monte Carlo simulation. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:5376-5383. [PMID: 9900260 DOI: 10.1103/physreva.38.5376] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
|
32
|
Chiew YC, Wang YH. Percolation and connectivity of the attractive square‐well fluid: Monte Carlo simulation study. J Chem Phys 1988. [DOI: 10.1063/1.455406] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
33
|
|
34
|
Sen AK, Torquato S. Series expansions for clustering in continuum–percolation models with interactions. J Chem Phys 1988. [DOI: 10.1063/1.454904] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
35
|
Lupkowski M, Monson PA. An interaction site approach to clustering and percolation phenomena in systems of nonspherical particles. J Chem Phys 1988. [DOI: 10.1063/1.454936] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
36
|
|
37
|
Fanti LA, Glandt ED, Chiew YC. Cluster volume and surface area in dispersions of penetrable particles or pores. J Chem Phys 1988. [DOI: 10.1063/1.455257] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
|
38
|
Sevick EM, Monson PA, Ottino JM. Monte Carlo calculations of cluster statistics in continuum models of composite morphology. J Chem Phys 1988. [DOI: 10.1063/1.454720] [Citation(s) in RCA: 163] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
39
|
Berg RF, Moldover MR, Huang JS. Quantitative characterization of the viscosity of a microemulsion. J Chem Phys 1987. [DOI: 10.1063/1.453715] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
40
|
Seaton NA, Glandt ED. Aggregation and percolation in a system of adhesive spheres. J Chem Phys 1987. [DOI: 10.1063/1.452707] [Citation(s) in RCA: 113] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|