Related Experiment Video
Updated: Jan 13, 2026
08:50
The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
Published on: March 10, 2023
1.1K
Dynamics of phase separation in non-local elastic networks
Oliver W Paulin1, Yicheng Qiang1, David Zwicker1
1Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany. david.zwicker@ds.mpg.de.
Soft Matter
|January 7, 2026
Summary
Non-local elasticity in polymer gels prevents coarsening during phase separation, forming patterned domains. This dynamic theory links phase separation to large-deformation poroelasticity for experimental comparison.
Area of Science:
- Soft Matter Physics
- Materials Science
- Biophysics
Background:
- Phase separation in elastic networks is crucial for biological and industrial systems like biomolecular condensates and soft sediments.
- Previous theories suggested equilibrium and non-local elastic effects drive pattern formation when domain size matches network pore size.
- Experimental evidence in synthetic polymer gels shows patterned phases emerge under specific conditions.
Purpose of the Study:
- To develop a dynamic theory coupling phase separation with non-local elasticity using large-deformation poroelasticity.
- To investigate the parameter space for phase separation and the influence of different elasticity models.
- To provide a framework for quantitative comparison between theoretical models and experimental results.
Main Methods:
- Developed a dynamic theory based on large-deformation poroelasticity.
- Employed linear stability analysis to identify phase separation conditions.
- Utilized numerical simulations to study the impact of elasticity models and parameter variations.
Main Results:
- Local elasticity can hinder phase separation and alter domain numbers but does not prevent coarsening.
- Non-local elasticity effectively arrests coarsening, leading to the formation of patterned domains with a defined length scale.
- The characteristic length scale of patterned domains inversely correlates with network stiffness.
Conclusions:
- Non-local elasticity is key to forming stable, patterned phases in liquid mixtures within elastic networks.
- The developed dynamic theory accurately models pattern formation and offers insights into coarsening arrest.
- The framework facilitates direct comparison with experimental data, particularly for strain-stiffening networks.
Related Concept Videos
02:20Dynamic Equilibrium
61.6K
A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
61.6K
01:20Elastic Strain Energy for Shearing Stresses
479
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
479
01:18Residual Stresses in Bending
508
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
508
01:09Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
762
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
762
01:19Members Made of Elastoplastic Material
364
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
As the bending moment...
364
01:15Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
542
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
542