Ion-channel-like behavior in lipid bilayer membranes at the melting transition

It is well known that at the gel-liquid phase-transition temperature a lipid bilayer membrane exhibits an increased ion permeability. We analyze the quantized currents in which the increased permeability presents itself. The open time histogram shows a -3/2 power law which implies an open-closed transition rate that decreases like k(t) proportional to t(-1) as time evolves. We propose a pore freezing model to explain the observations. We discuss how this model also leads to the 1/f(alpha) noise that is commonly observed in currents across biological and artificial membranes.