Self-tuning phase separation in a model with competing interactions inspired by biological cell polarization
T Ferraro1, A Coniglio, M Zannetti
1Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Complesso Universitario di Monte Sant'Angelo, via Cintia 80126 Napoli, Italy. ferraro@na.infn.it
Summary
This study reveals how competing magnetic interactions can lead to self-tuned phase coexistence, even under an external magnetic field. This phenomenon is modeled using a large N Ginzburg-Landau approach.
Area of Science:
- Theoretical Physics
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Systems with competing interactions exhibit complex behaviors.
- Understanding phase transitions and coexistence is crucial in various physical systems.
- The interplay of short-range attraction and long-range repulsion is a common theme in condensed matter.
Purpose of the Study:
- To theoretically investigate a system with competing ferromagnetic and antiferromagnetic interactions.
- To explore the phenomenon of self-tuned magnetization leading to phase coexistence.
- To analyze the influence of an external magnetic field on this system.
Main Methods:
- Utilized a Ginzburg-Landau functional in the large N limit (infinite order parameter components).
- Developed a theoretical model to capture the competing interactions.
- Analyzed the phase diagram as a function of external field and repulsion strength.
Main Results:
- Demonstrated self-tuning of magnetization to a value that triggers phase coexistence.
- Phase coexistence occurs even in the presence of a uniform external magnetic field.
- Obtained a phase diagram illustrating the system's behavior under varying conditions.
Conclusions:
- The model successfully describes phase separation phenomena, applicable to cell surface dynamics.
- The interplay of interactions dictates the emergence of phase coexistence.
- Further study of the time evolution provides insights into relaxation dynamics within different phase regions.
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