Probabilistic inverse design for self-assembling materials

One emerging approach for the fabrication of complex architectures on the nanoscale is to utilize particles customized to intrinsically self-assemble into a desired structure. Inverse methods of statistical mechanics have proven particularly effective for the discovery of interparticle interactions suitable for this aim. Here we evaluate the generality and robustness of a recently introduced inverse design strategy [B. A. Lindquist et al., J. Chem. Phys. 145, 111101 (2016)] by applying this simulation-based machine learning method to optimize for interparticle interactions that self-assemble particles into a variety of complex microstructures as follows: cluster fluids, porous mesophases, and crystalline lattices. Using the method, we discover isotropic pair interactions that lead to the self-assembly of each of the desired morphologies, including several types of potentials that were not previously understood to be capable of stabilizing such systems. One such pair potential led to the assembly of the hi...

[1]  C B Muratov Theory of domain patterns in systems with long-range interactions of Coulomb type. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  T. Sluckin,et al.  Macrocrystal Phases in Charged Colloidal Suspensions , 1988 .

[3]  Thomas M Truskett,et al.  Origin and detection of microstructural clustering in fluids with spatial-range competitive interactions. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  A. Archer,et al.  Phase behavior of a fluid with competing attractive and repulsive interactions. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  M Scott Shell,et al.  Coarse-graining errors and numerical optimization using a relative entropy framework. , 2011, The Journal of chemical physics.

[6]  Heinrich M. Jaeger,et al.  Turning statistical physics models into materials design engines , 2015, Proceedings of the National Academy of Sciences.

[7]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[8]  S Torquato,et al.  Probing the limitations of isotropic pair potentials to produce ground-state structural extremes via inverse statistical mechanics. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A. Baumketner,et al.  Equilibrium clusters in suspensions of colloids interacting via potentials with a local minimum , 2016, 1603.02176.

[10]  N. Wagner,et al.  Generalized phase behavior of cluster formation in colloidal dispersions with competing interactions. , 2014, Soft matter.

[11]  Qian Chen,et al.  Directed self-assembly of a colloidal kagome lattice , 2014 .

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

[13]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[14]  C. Ross,et al.  Optimizing topographical templates for directed self-assembly of block copolymers via inverse design simulations. , 2014, Nano letters.

[15]  Angelo Cacciuto,et al.  Exploiting classical nucleation theory for reverse self-assembly. , 2010, The Journal of chemical physics.

[16]  Thomas M Truskett,et al.  Designing pairwise interactions that stabilize open crystals: Truncated square and truncated hexagonal lattices. , 2017, The Journal of chemical physics.

[17]  Patrick Charbonneau,et al.  Equilibrium Phase Behavior of the Square-Well Linear Microphase-Forming Model. , 2016, The journal of physical chemistry. B.

[18]  J. Earnshaw,et al.  Formation of meso-structures in colloidal monolayers , 1997 .

[19]  Gerrit Groenhof,et al.  GROMACS: Fast, flexible, and free , 2005, J. Comput. Chem..

[20]  F. Sciortino,et al.  Colloidal systems with competing interactions: from an arrested repulsive cluster phase to a gel , 2009, 0903.2929.

[21]  David Andelman,et al.  Phase transitions in Langmuir monolayers of polar molecules , 1987 .

[22]  P. Bolhuis,et al.  Equilibrium and non-equilibrium cluster phases in colloids with competing interactions. , 2014, Soft matter.

[23]  B. A. Lindquist,et al.  Interactions and design rules for assembly of porous colloidal mesophases. , 2016, Soft matter.

[24]  M. Seul,et al.  Domain Shapes and Patterns: The Phenomenology of Modulated Phases , 1995, Science.

[25]  Kris T. Delaney,et al.  Swarm Intelligence Platform for Multiblock Polymer Inverse Formulation Design. , 2016, ACS macro letters.

[26]  L. Reatto,et al.  Theory for the phase behaviour of a colloidal fluid with competing interactions , 2008, 0808.4036.

[27]  J. Israelachvili,et al.  General hydrophobic interaction potential for surfactant/lipid bilayers from direct force measurements between light-modulated bilayers , 2011, Proceedings of the National Academy of Sciences.

[28]  Avni Jain,et al.  Inverse methods for material design , 2014, 1405.4060.

[29]  Sharon C. Glotzer,et al.  Screening and designing patchy particles for optimized self-assembly propensity through assembly pathway engineering , 2012 .

[30]  C. Santangelo,et al.  Mesophases of soft-sphere aggregates , 2009, 0902.4643.

[31]  L. G. Leal,et al.  A test of systematic coarse-graining of molecular dynamics simulations: thermodynamic properties. , 2012, The Journal of chemical physics.

[32]  Salvatore Torquato,et al.  Inverse optimization techniques for targeted self-assembly , 2008, 0811.0040.

[33]  D. Frenkel,et al.  Continuous freezing in three dimensions. , 2003, Physical review letters.

[34]  A. Archer,et al.  Two-dimensional fluid with competing interactions exhibiting microphase separation: theory for bulk and interfacial properties. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  A. Ciach Universal sequence of ordered structures obtained from mesoscopic description of self-assembly. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  Thomas M Truskett,et al.  Fluids with competing interactions. I. Decoding the structure factor to detect and characterize self-limited clustering , 2016, The Journal of Chemical Physics.

[37]  Florian Müller-Plathe,et al.  Coarse-graining in polymer simulation: from the atomistic to the mesoscopic scale and back. , 2002, Chemphyschem : a European journal of chemical physics and physical chemistry.

[38]  N. Aluru,et al.  Relative Entropy and Optimization-Driven Coarse-Graining Methods in VOTCA , 2015, PloS one.

[39]  S. Glotzer,et al.  Self-Assembly of Patchy Particles. , 2004, Nano letters.

[40]  Michael Baldea,et al.  Breadth versus depth: Interactions that stabilize particle assemblies to changes in density or temperature. , 2016, The Journal of chemical physics.

[41]  Philip J Camp,et al.  Structure and phase behavior of a two-dimensional system with core-softened and long-range repulsive interactions. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  Rui P. S. Fartaria,et al.  Cluster formation in fluids with competing short-range and long-range interactions. , 2014, The Journal of chemical physics.

[43]  Christos N. Likos,et al.  Colloidal Stabilization by Adsorbed Gelatin , 2000 .

[44]  B. A. Lindquist,et al.  Equilibrium cluster fluids: pair interactions via inverse design. , 2015, Soft matter.

[45]  P. Charbonneau,et al.  Recent Advances in the Theory and Simulation of Model Colloidal Microphase Formers. , 2016, The journal of physical chemistry. B.

[46]  J. Ruíz-García,et al.  Formation of two-dimensional colloidal voids, soap froths, and clusters , 1998 .

[47]  Yiyong Mai,et al.  Self-assembly of block copolymers. , 2012, Chemical Society reviews.

[48]  J. Pȩkalski,et al.  Origin of similarity of phase diagrams in amphiphilic and colloidal systems with competing interactions , 2013, 1308.3104.

[49]  Huaiyu Zhu On Information and Sufficiency , 1997 .

[50]  William M. Gelbart,et al.  Microphase separation versus the vapor-liquid transition in systems of spherical particles , 1999 .

[51]  Gerhard Kahl,et al.  Formation of polymorphic cluster phases for a class of models of purely repulsive soft spheres. , 2006, Physical review letters.

[52]  J. Pȩkalski,et al.  Periodic ordering of clusters and stripes in a two-dimensional lattice model. II. Results of Monte Carlo simulation. , 2014, The Journal of chemical physics.

[53]  B. A. Lindquist,et al.  Inverse Design for Self Assembly via On-the-Fly Optimization , 2016, 1609.00851.

[54]  Alexander Lukyanov,et al.  Versatile Object-Oriented Toolkit for Coarse-Graining Applications. , 2009, Journal of chemical theory and computation.

[55]  Salvatore Torquato,et al.  Optimized monotonic convex pair potentials stabilize low-coordinated crystals , 2010, 1010.6293.

[56]  M Scott Shell,et al.  The relative entropy is fundamental to multiscale and inverse thermodynamic problems. , 2008, The Journal of chemical physics.

[57]  E. Bianchi,et al.  Patchy colloids: state of the art and perspectives. , 2011, Physical chemistry chemical physics : PCCP.

[58]  Joseph F Rudzinski,et al.  Coarse-graining entropy, forces, and structures. , 2011, The Journal of chemical physics.

[59]  W G Noid,et al.  Perspective: Coarse-grained models for biomolecular systems. , 2013, The Journal of chemical physics.

[60]  Thomas M. Truskett,et al.  Inverse design of simple pairwise interactions with low-coordinated 3D lattice ground states , 2013, 1303.1049.

[61]  Thomas M Truskett,et al.  Assembly of nothing: equilibrium fluids with designed structured porosity. , 2016, Soft matter.

[62]  Gregory A Voth,et al.  Multiscale coarse graining of liquid-state systems. , 2005, The Journal of chemical physics.

[63]  J. Pȩkalski,et al.  Periodic ordering of clusters and stripes in a two-dimensional lattice model. I. Ground state, mean-field phase diagram and structure of the disordered phases. , 2014, The Journal of chemical physics.

[64]  Thomas M Truskett,et al.  Fluids with competing interactions. II. Validating a free energy model for equilibrium cluster size , 2016, 1605.04815.

[65]  Frédéric Cardinaux,et al.  Equilibrium cluster formation in concentrated protein solutions and colloids , 2004, Nature.

[66]  P. Bolhuis,et al.  Self-assembly of microcapsules via colloidal bond hybridization and anisotropy , 2015, Nature.

[67]  Exotic fluids and crystals of soft polymeric colloids , 2002, cond-mat/0205109.