Dynamical scaling in close-to-equilibrium adsorption
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Scaling of the hysteresis loop in a close-to-equilibrium adsorption-desorption (CEAD) process is explored. We consider the response of the CEAD process to a chemical potential which varies harmonically with time, = av + 0 sin(2t/). av corresponds to the coverage = 1/2 at equilibrium. The cycle time is assumed to be sufficiently large so that the system is in thermal equilibrium at all times. The area A of the adsorption-desorption cycle loop scales as A 0 -. We show that for growth-controlled hysteresis (GCH), i.e. in the limit of a small nucleation time n , = 1/2 and = 1/2 for GCH, and confirm this prediction by numerical simulation of a simple model. Possible experimental checks of these predictions are discussed.
