Creasing of flexible membranes at vanishing tension

Area of Science:

• Soft matter physics
• Polymer physics
• Statistical mechanics

Background:

• Freestanding interfaces and membranes exhibit complex behavior at low bending rigidity due to fluctuations and self-avoidance.
• Standard perturbative analysis is insufficient for describing these regimes.

Purpose of the Study:

• To analyze the properties of membranes at low bending rigidity using a discretized, self-avoiding model.
• To identify distinct regimes and their characteristics in membrane behavior.

Main Methods:

• Monte Carlo simulations
• Dynamically triangulated surface techniques
• Analysis of a discretized, self-avoiding membrane model with periodic boundary conditions.

Main Results:

• Identified three regimes: branched polymer instability below κ_{BP}, power-law conformational correlations (2<α≤4) below κ_{c}, and linearized bending excitations (α=4) above κ_{c}.
• Observed pronounced peaks in specific heat and area compressibility near κ_{c}.
• Characterized membrane behavior outside standard perturbative analysis.

Conclusions:

• Low bending rigidity leads to distinct membrane phases, including instabilities and power-law correlations.
• The findings are relevant for soft interface systems like microemulsions and cooperative membrane phenomena.
• Simulation and theoretical approaches are vital for understanding complex membrane physics.