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.
Write the free energy as
When , and the global minimum on is , corresponding to an unbound stack. When , , and minimization gives
Using yields
Since ,
so the continuous membrane unbinding transition has exponent