# Shape-free theory for the self-assembly kinetics in macromolecular systems

Source: [Shape-free theory for the self-assembly kinetics in macromolecular systems](<https://www.sota2.com/research/paper/68fa421a1e209131ce8ffb5c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T03:37:08.074Z

Authors: L. F. Trugilho, L. G. Rizzi

Published: 2021-08-31T11:58:24.000Z

## Abstract

Self-assembly kinetics is usually described by approaches which assume that the shape of the aggregates has a definite form (e.g., spherical, cylindrical, cubic, etc), however that is unlikely to be the case in many finite-sized macromolecular and colloidal systems. Here we consider a simple aggregation model which displays a first-order phase transition in order to illustrate a rate theory based on microcanonical analysis that allows one to obtain a shape-free description of its self-assembly kinetics. Stochastic simulations are performed to validate our approach and demonstrate how the equilibrium thermostatistical properties of the system can be related to the temperature-dependent rate constants. As a model-independent kinetic approach, it may provide experimentalists a reliable method to reconstruct free-energy profiles and microcanonical entropies from kinetic data.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2108.13773>)

[PDF](<https://arxiv.org/pdf/2108.13773.pdf>)