Membrane unbinding transition Created 2026-09-24 Updated 2026-11-05
A membrane unbinding transition sends the equilibrium layer spacing to infinity. In a dilute lamellar stack, competition between a quadratic virial attraction and cubic Helfrich repulsion gives a continuous transition with spacing exponent one.
Past exam of the mathematics course of the University of Cambridge 2025 iii Paper 355 3 d Solution Created 2026-09-24 Updated 2026-09-25
Write the free energy asWhen , and the global minimum on is , corresponding to an unbound stack. When , , and minimization givesUsing yieldsSince ,so the continuous membrane unbinding transition has exponent