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The problem of diffusive bond-dissociation in a double well potential underapplication of an external force is scrutinized. We compute the probabilitydistribution of rupture forces and present a detailed discussion of theinfluence of finite rebinding probabilities on the dynamic force spectrum. Inparticular, we focus on barrier crossing upon extension, i.e. under linearlyincreased load, and upon relaxation starting from completely separated bonds.For large loading rates the rupture force and the rejoining force depend on theloading rate in the expected manner determined by the shape of the potential.For small loading rates the mean forces obtained from pull and relax modesapproach each other as the system reaches equilibrium. We investigate thedependence of the rupture force distributions and mean rupture forces onexternal parameters like cantilever stiffness and influence of a soft linker.We find that depending on the implementation of a soft linker the equilibriumrupture force is either unaffected by the presence of the linker or changes ina predictable way with the linker-compliance. Additionally, we show that it ispossible to extract the equilibrium constant of the on- and off-rates from thedetermination of the equilibrium rupture forces.

Dynamic force spectroscopy: analysis of reversible bond-breaking dynamics