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We study the non-equilibrium dynamics of lipid membranes with proteins thatactively pump ions across the membrane. We find that the activity leads to afluctuating force distribution due to electrostatic interactions arising fromvariation in dielectric constant across the membrane. By applying a multipoleexpansion we find effects on both the tension and bending rigidity dominatedparts of the membranes fluctuation spectrum. We discuss how our model compareswith previous studies of force-multipole models.

Ion pump activity generates fluctuating electrostatic forces in biomembranes