Aggregation dynamics, structure, and mechanical properties of bigels.

Recently we have introduced bigels, inter-penetrating gels made of two different colloidal species. Even if particles with simple short-range isotropic potential are employed, the selective interactions enable the tunability of the self-assembly, leading to the formation of complex structures. In the present paper, we explore the non-equilibrium dynamics and the phenomenology underlying the kinetic arrest under quench and the formation of bigels. We demonstrate that the peculiar bigel kinetics can be described through an arrested spinodal decomposition driven by demixing of the colloidal species. The role played by the presence of a second colloidal species on the phase diagram, as expanded to account for the increased number of parameters, is clarified both via extensive numerical simulations and experiments. We provide details on the realisation of bigels, by means of DNA-coated colloids (DNACCs), and the consequent imaging techniques. Moreover we evidence, by comparison with the usual one-component gel formation, the emergence of controllable timescales in the aggregation of the bigels, whose final stages are also experimentally studied to provide morphological details. Finally, we use numerical models to simulate the bigel response to mechanical strain, highlighting how such a new material can bear significantly higher stress compared to the usual one-component gel. We conclude by discussing possible technological uses and by providing insights on the viable research steps to undertake for more complex and yet tuneable multi-component colloidal systems.

[1]  Fook Chiong Cheong,et al.  Switchable self-protected attractions in DNA-functionalized colloids. , 2009, Nature Materials.

[2]  R. Ball,et al.  Continuum percolation and depletion flocculation , 1998 .

[3]  D. Weitz,et al.  Internal Dynamics and Elasticity of Fractal Colloidal Gels , 1998 .

[4]  Hui Cao,et al.  Self-assembly of amorphous biophotonic nanostructures by phase separation , 2009 .

[5]  Mason,et al.  Kinetically induced ordering in gelation of emulsions. , 1992, Physical review letters.

[6]  Tamás Vicsek,et al.  Dynamic Scaling for Aggregation of Clusters , 1984 .

[7]  Nadrian C Seeman,et al.  Aggregation-disaggregation transition of DNA-coated colloids: experiments and theory. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  David J. Pine,et al.  Towards self-replicating materials of DNA-functionalized colloids , 2009 .

[9]  T. Hashimoto Dynamics in spinodal decomposition of polymer mixtures , 1988 .

[10]  W. Briels,et al.  Domain formation and growth in spinodal decomposition of a binary fluid by molecular dynamics simulations. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  D. Frenkel,et al.  A general theory of DNA-mediated and other valence-limited colloidal interactions. , 2012, The Journal of chemical physics.

[12]  D. Frenkel,et al.  Out-of-equilibrium processes in suspensions of oppositely charged colloids: liquid-to-crystal nucleation and gel formation , 2008, 0907.2124.

[13]  Model for reversible colloidal gelation. , 2004, Physical review letters.

[14]  P. Schurtenberger,et al.  New routes to food gels and glasses. , 2012, Faraday discussions.

[15]  Arrested phase separation in a short-ranged attractive colloidal system: a numerical study. , 2005, The Journal of chemical physics.

[16]  E. Sanz,et al.  Crystallization and gelation in colloidal systems with short-ranged attractive interactions. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Amorphous systems in athermal, quasistatic shear. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  J. Crocker,et al.  Engineering DNA-mediated colloidal crystallization. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[19]  E. Zaccarelli Colloidal gels: equilibrium and non-equilibrium routes , 2007, 0705.3418.

[20]  Bicontinuous and mixed gels in binary mixtures of patchy colloidal particles , 2011, 1111.3741.

[21]  F. Sciortino,et al.  The vanishing limit of the square-well fluid: the adhesive hard-sphere model as a reference system. , 2007, The Journal of chemical physics.

[22]  G. Kahl,et al.  Self-consistent Ornstein–Zernike approximation for a binary symmetric fluid mixture , 2003 .

[23]  Hasmy,et al.  Small-angle neutron-scattering investigation of short-range correlations in fractal aerogels: Simulations and experiments. , 1993, Physical review. B, Condensed matter.

[24]  N. Seeman,et al.  Simple quantitative model for the reversible association of DNA coated colloids. , 2009, Physical review letters.

[25]  Jurij Kotar,et al.  Multistep kinetic self-assembly of DNA-coated colloids , 2013, Nature Communications.

[26]  P. Damasceno,et al.  Predictive Self-Assembly of Polyhedra into Complex Structures , 2012, Science.

[27]  L. Berthier,et al.  Influence of the glass transition on the liquid-gas spinodal decomposition. , 2011, Physical Review Letters.

[28]  K. Dawson,et al.  Mode-coupling theory of colloids with short-range attractions , 2001, cond-mat/0111033.

[29]  C De Michele,et al.  Scaling of dynamics with the range of interaction in short-range attractive colloids. , 2005, Physical review letters.

[30]  D. Weitz,et al.  Fractal structures formed by kinetic aggregation of aqueous gold colloids , 1984 .

[31]  Aggregation of model gels with directional interactions , 2010 .

[32]  Thomas M Truskett,et al.  How short-range attractions impact the structural order, self-diffusivity, and viscosity of a fluid. , 2007, The Journal of chemical physics.

[33]  Eli Yablonovitch,et al.  Amorphous diamond-structured photonic crystal in the feather barbs of the scarlet macaw , 2012, Proceedings of the National Academy of Sciences.

[34]  P. Levitz,et al.  Off-lattice reconstruction of porous media: critical evaluation, geometrical confinement and molecular transport , 1998 .

[35]  T. Hashimoto,et al.  Late stage spinodal decomposition of a binary polymer mixture. I: Critical test of dynamical scaling on scattering function , 1986 .

[36]  J. Tinbergen,et al.  Kingfisher feathers – colouration by pigments, spongy nanostructures and thin films , 2011, Journal of Experimental Biology.

[37]  D A Weitz,et al.  Universal aging features in the restructuring of fractal colloidal gels. , 2000, Physical review letters.

[38]  Paul V Braun,et al.  High-power lithium ion microbatteries from interdigitated three-dimensional bicontinuous nanoporous electrodes , 2013, Nature Communications.

[39]  Fabio Ciulla,et al.  Gelation as arrested phase separation in short-ranged attractive colloid–polymer mixtures , 2008, 0810.4239.

[40]  Competition of percolation and phase separation in a fluid of adhesive hard spheres. , 2003, Physical review letters.

[41]  X. H. Liu,et al.  Optical response of a disordered bicontinuous macroporous structure in the longhorn beetle Sphingnotus mirabilis. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[43]  N. Dorsaz,et al.  Phase behaviour of the symmetric binary mixture from thermodynamic perturbation theory , 2010, Journal of physics. Condensed matter : an Institute of Physics journal.

[44]  D. Frenkel,et al.  Extended corresponding-states behavior for particles with variable range attractions , 2000, cond-mat/0004033.

[45]  H. Furukawa Multi-Time Scaling for Phase Separation , 1989 .

[46]  D. Frenkel,et al.  Re-entrant melting as a design principle for DNA-coated colloids. , 2012, Nature materials.

[47]  Phase equilibria and glass transition in colloidal systems with short-ranged attractive interactions: application to protein crystallization. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[48]  Steve Plimpton,et al.  Fast parallel algorithms for short-range molecular dynamics , 1993 .

[49]  D. Durand,et al.  Monte Carlo simulation of particle aggregation and gelation: II. Pair correlation function and structure factor , 2004, The European physical journal. E, Soft matter.

[50]  N. Dorsaz,et al.  Arrested demixing opens route to bigels , 2012, Proceedings of the National Academy of Sciences.

[51]  N. Seeman,et al.  Quantitative study of the association thermodynamics and kinetics of DNA-coated particles for different functionalization schemes. , 2010, Journal of the American Chemical Society.

[52]  Rémi Jullien,et al.  Scaling of Kinetically Growing Clusters , 1983 .

[53]  Giglio,et al.  Spinodal-type dynamics in fractal aggregation of colloidal clusters. , 1992, Physical review letters.

[54]  L. Di Michele,et al.  Developments in understanding and controlling self assembly of DNA-functionalized colloids. , 2013, Physical chemistry chemical physics : PCCP.

[55]  A. Sa’ar,et al.  Hybrid structures of porous silicon and conjugated polymers for photovoltaic applications , 2011 .

[56]  D. Durand,et al.  Monte Carlo simulation of particle aggregation and gelation: I. Growth, structure and size distribution of the clusters , 2004, The European physical journal. E, Soft matter.

[57]  J. Mergny,et al.  Analysis of thermal melting curves. , 2003, Oligonucleotides.

[58]  D. Weitz,et al.  Gelation of particles with short-range attraction , 2008, Nature.

[59]  H. Furukawa Dynamics-scaling theory for phase-separating unmixing mixtures: Growth rates of droplets and scaling properties of autocorrelation functions , 1984 .

[60]  Yu Wang,et al.  Colloids with valence and specific directional bonding , 2012, Nature.

[61]  O. Velev,et al.  Bicontinuous gels formed by self-assembly of dipolar colloid particles , 2010 .

[62]  Gi-Ra Yi,et al.  Shaping colloids for self-assembly , 2013, Nature Communications.

[63]  P. Meakin Formation of fractal clusters and networks by irreversible diffusion-limited aggregation , 1983 .

[64]  P. Levitz,et al.  Toolbox for 3D imaging and modeling of porous media: Relationship with transport properties , 2007 .