The shape of cleaved tethered membranes

Area of Science:

• Physics
• Materials Science
• Polymer Physics

Background:

• Flexible self-avoiding elastic surfaces (membranes) exhibit flatness regardless of temperature or bending rigidity.
• Previous studies showed random bond removal does not alter the overall shape of membranes.

Purpose of the Study:

• To investigate the topological alteration of elastic surfaces by systematically cleaving internal bonds.
• To understand how controlled bond cleavage affects membrane morphology.

Main Methods:

• Numerical simulations of flexible self-avoiding elastic surfaces.
• Systematic cleaving of internal bonds using longitudinal parallel cuts.
• Analysis of resulting morphologies and radius of gyration.

Main Results:

• Cleaving elastic surfaces with longitudinal parallel cuts induces a systematic collapse into complex morphologies.
• The resulting shapes are controllable by varying the number and length of cuts.
• For membranes with bending rigidity (no self-avoidance), rescaled variables yield a universal master curve for the radius of gyration versus the number of cuts.

Conclusions:

• Controlled topological changes, specifically parallel cuts, can induce predictable shape transformations in flexible elastic surfaces.
• The study reveals a universal scaling behavior in simpler membrane models under topological modification.