Design principles for non-equilibrium self-assembly

Abstract

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 set of structures that can be obtained under non-equilibrium conditions. Our central result provides intuition for how equilibrium self-assembly landscapes are modified under finite non-equilibrium drive.

7 pages, 4 figures

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Cited by in corpus (46)

• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Finite-time generalization of the thermodynamic uncertainty relation
• Discrete-time thermodynamic uncertainty relation
• Equilibrium mechanisms of self-limiting assembly
• Theory of nonequilibrium free energy transduction by molecular machines
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Bounds on current fluctuations in periodically driven systems
• Topological localization in out-of-equilibrium dissipative systems
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Learning to grow: control of material self-assembly using evolutionary reinforcement learning
• How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
• Importance sampling large deviations in nonequilibrium steady states. I
• Minimum energetic cost to maintain a target nonequilibrium state
• An energy-speed-accuracy relation in complex networks for biological discrimination
• Mapping of uncertainty relations between continuous and discrete time
• Universal minimal cost of coherent biochemical oscillations
• Learning nonequilibrium control forces to characterize dynamical phase transitions
• Variational control forces for enhanced sampling of nonequilibrium molecular dynamics simulations
• Fundamental limitations on photoisomerization from thermodynamic resource theories
• A unifying picture of generalized thermodynamic uncertainty relations
• Differentiable Molecular Simulations for Control and Learning
• Limits of Predictions in Thermodynamic Systems: A Review
• Temperature Protocols to Guide Selective Self-Assembly of Competing Structures
• Process interpretation of current entropic bounds
• Non-equilibrium correlations in minimal dynamical models of polymer copying
• Variational design principles for nonequilibrium colloidal assembly
• Escaping kinetic traps using non-reciprocal interactions
• Field-Theoretic Thermodynamic Uncertainty Relation -- General formulation exemplified with the Kardar-Parisi-Zhang equation
• Probing the Theoretical and Computational Limits of Dissipative Design
• Assembly of Complex Colloidal Systems Using DNA
• Neuroevolutionary learning of particles and protocols for self-assembly
• Skewness and Kurtosis in Stochastic Thermodynamics
• Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
• Optimization of Non-Equilibrium Self-Assembly Protocols Using Markov State Models
• Pulling cargo increases the precision of molecular motor progress
• An ordered set of power-efficiency trade-offs
• Thermodynamics of structure-forming systems
• Continuous-time multifarious systems -- Part I: equilibrium multifarious self-assembly
• Mean-field theory for the structure of strongly interacting active liquids
• Active regeneration unites high- and low-temperature features in cooperative self-assembly
• Self-assembly of a dimer system
• Stochastic paths controlling speed and dissipation
• A strong non-equilibrium bound for sorting of crosslinkers on growing biopolymers
• Dynamical phase transition in the growth of programmable polymorphic materials
• Renormalized mechanics and stochastic thermodynamics of growing vesicles
• Refined Thermodynamic Uncertainty Relation for Chemical Reactions