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We consider an important class of self-assembly problems and using the formalism of stochastic thermodynamics, we derive a set of design principles for growing controlled assemblies far from equilibrium. The design principles constrain the…

Statistical Mechanics · Physics 2017-01-17 Michael Nguyen , Suriyanarayanan Vaikuntanathan

Self-assembly processes in biological and synthetic biomolecular systems are often governed by the spatial separation of biochemical processes. While previous work has focused on optimizing self-assembly through fine-tuned reaction…

Biological Physics · Physics 2026-02-17 Severin Angerpointner , Richard Swiderski , Erwin Frey

We apply a simple model system of patchy particles to study monodisperse self-assembly, using the Platonic solids as target structures. We find marked differences between the assembly behaviours of the different systems. Tetrahedra,…

Soft Condensed Matter · Physics 2010-01-21 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis

We investigate the evolutionary dynamics of an idealised model for the robust self-assembly of two-dimensional structures called polyominoes. The model includes rules that encode interactions between sets of square tiles that drive the…

Populations and Evolution · Quantitative Biology 2013-09-03 Iain G. Johnston , Sebastian A. Ahnert , Jonathan P. K. Doye , Ard A. Louis

We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motivated by advances that give experimentalists greater and…

Soft Condensed Matter · Physics 2007-05-23 Mikael C. Rechtsman , Salvatore Torquato , Frank H. Stillinger

We introduce allostery-mimetic building blocks model for self-assembly of 3D structures. We represent the building blocks as patchy particles, where each binding site (patch) can be irreversibly activated or deactivated by binding of the…

Computational Physics · Physics 2024-03-19 Joshua Evans , Petr Šulc

We use neuroevolutionary learning to identify time-dependent protocols for low-dissipation self-assembly in a model of generic active particles with interactions. When the time allotted for assembly is sufficiently long, low-dissipation…

Statistical Mechanics · Physics 2022-09-19 Stephen Whitelam , Jeremy D. Schmit

We devise an inverse statistical-mechanical methodology to find optimized interaction potentials that lead spontaneously to a target many-particle configuration. Target structures can possess varying degrees of disorder, thus extending the…

Soft Condensed Matter · Physics 2009-11-11 Mikael Rechtsman , Frank Stillinger , Salvatore Torquato

Electrostatic interactions play an important role in numerous self-assembly phenomena, including colloidal aggregation. Although colloids typically have a dielectric constant that differs from the surrounding solvent, the effective…

Soft Condensed Matter · Physics 2018-09-17 Kipton Barros , Erik Luijten

Self-assembly is a ubiquitous process in synthetic and biological systems, broadly defined as the spontaneous organization of multiple subunits (e.g. macromolecules, particles) into ordered multi-unit structures. The vast majority of…

Soft Condensed Matter · Physics 2023-08-08 Michael F. Hagan , Gregory M. Grason

We investigate how to enhance entanglement in the steady state of interacting two-level systems. The steady state is reached by spontaneous decay of the individual systems. When we additionally couple them to a dissipative two-level ancilla…

Quantum Physics · Physics 2015-12-09 Joachim Fischbach , Matthias Freyberger

We show that chiral symmetry can be broken spontaneously in one-component systems with isotropic interactions, i.e. many-particle systems having maximal a priori symmetry. This is achieved by designing isotropic potentials that lead to…

Materials Science · Physics 2012-05-16 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi

Protein aggregation in the form of amyloid fibrils has important biological and technological implications. Although the self-assembly process is highly efficient, aggregates not in the fibrillar form would also occur and it is important to…

Soft Condensed Matter · Physics 2010-01-20 Chiu Fan Lee

Biological systems exhibit large-scale self-organized dynamics and structures which enable organisms to perform the functions of life. The field of active matter strives to develop and understand microscopically-driven nonequilibrium…

Soft Condensed Matter · Physics 2016-02-11 Michael F. Hagan , Aparna Baskaran

Controlling the topology of structures self-assembled from a set of heterogeneous building blocks is highly desirable for many applications, but is poorly understood theoretically. Here we show that the thermodynamic theory of self-assembly…

Soft Condensed Matter · Physics 2021-03-04 Andrei A. Klishin , Michael P. Brenner

Designing components that can robustly self-assemble into structures with biological complexity is a grand challenge for material science. Proofreading and error correction is required to improve assembly yield beyond equilibrium limits,…

Soft Condensed Matter · Physics 2023-12-15 Qian-Ze Zhu , Chrisy Xiyu Du , Ella M. King , Michael P. Brenner

Designing heterogeneous, self-assembling systems is a central challenge in soft matter and biology. We present a framework that uses gradient-based optimization to invert an analytical yield calculation, tuning systems toward target…

Soft Condensed Matter · Physics 2025-10-21 Livia A. J. Guttieres , Ryan K. Krueger , Remi Drolet , Michael P. Brenner

In this article, we study the phenomenology of a two dimensional dilute suspension of active amphiphilic Janus particles. We analyze how the morphology of the aggregates emerging from their self-assembly depends on the strength and the…

Soft Condensed Matter · Physics 2021-03-03 S. A. Mallory , F. Alarcon , A. Cacciuto , C. Valeriani

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

Soft Condensed Matter · Physics 2008-02-03 O. Sommelius

We introduce a simple "patchy particle" model to study the thermodynamics and dynamics of self-assembly of homomeric protein complexes. Our calculations allow us to rationalize recent results for dihedral complexes. Namely, why evolution of…