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Published on: January 6, 2023
Transition to coarsening for confined one-dimensional interfaces with bending rigidity
Thomas Le Goff1, Paolo Politi2,3, Olivier Pierre-Louis1
1Institut Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon 69622 Villeurbanne, France.
Frozen states in confined membranes disappear above critical thresholds of tension, potential asymmetry, or thermal noise, restoring perpetual coarsening. These factors influence the transition dynamics and the time scales for disordering.
Area of Science:
- Soft matter physics
- Interface dynamics
- Membrane physics
Background:
- Confined membranes exhibit complex dynamics due to bending rigidity and wall interactions.
- Previous work identified frozen states caused by kink interactions in a hydrodynamic model.
Purpose of the Study:
- Investigate the conditions under which frozen states in confined membranes transition to perpetual coarsening.
- Analyze the influence of tension, potential asymmetry, and thermal noise on interface dynamics.
Main Methods:
- Utilized a two-dimensional hydrodynamic model for one-dimensional membranes.
- Analyzed nonlinear dynamics and fluctuations of interfaces with bending rigidity.
- Examined the effects of tension, potential asymmetry, and thermal noise on kink interactions.
Main Results:
- Identified finite thresholds for tension, potential asymmetry, and noise that eliminate frozen states.
- Demonstrated different coarsening scenarios based on the driving force (tension, asymmetry, noise).
- Observed Arrhenius-type time dependence for coarsening appearance due to thermal noise.
Conclusions:
- Frozen states in confined membranes are not universally stable and can be overcome by external factors.
- Tension, potential asymmetry, and thermal noise provide distinct pathways to restore perpetual coarsening.
- Understanding these transitions is crucial for predicting the long-term behavior of confined membrane systems.
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