Related Experiment Video
Updated: May 6, 2026

Origami Inspired Self-assembly of Patterned and Reconfigurable Particles
Published on: February 4, 2013
Self-assembly in chains, rings, and branches: a single component system with two critical points
Lorenzo Rovigatti1, José Maria Tavares, Francesco Sciortino
1Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy.
This study reveals unique phase behavior in particle systems, where ring self-assembly in vapor creates a lower critical point. Simulations confirm these unconventional findings on phase separation and self-assembly.
Area of Science:
- Physical Chemistry
- Soft Matter Physics
- Thermodynamics
Background:
- Phase separation and self-assembly are fundamental phenomena in soft matter.
- Understanding their interplay is crucial for designing materials with specific properties.
- Previous models often simplify particle interactions and structural possibilities.
Purpose of the Study:
- To investigate the combined effects of phase separation and self-assembly in a model system.
- To theoretically explore the thermodynamics of systems forming chains, rings, and branched structures.
- To analyze unconventional vapor-liquid coexistence and critical phenomena.
Main Methods:
- Extension of Wertheim's first-order perturbation theory to include ring formation.
- Theoretical investigation of the model's thermodynamics.
- Validation through Monte Carlo simulations.
Main Results:
- Observed peculiar vapor-liquid coexistence with reentrant behavior.
- Identified two critical points in a single-component system.
- Attributed the lower critical point to ring self-assembly in the vapor phase.
Conclusions:
- Ring self-assembly can lead to novel thermodynamic behavior, including lower critical points.
- The theoretical model accurately predicts unconventional phase diagrams.
- Simulations provide strong support for the theoretical framework and its predictions.
Related Concept Videos
Radical Chain-Growth Polymerization: Chain Branching
A Single-Component System
Protein Complex Assembly
Many viruses self-assemble into a fully functional unit using the infected host cell to...
Polymer Classification: Architecture
Radical Chain-Growth Polymerization: Mechanism
Assembly of Cytoskeletal Filaments

