Abstract
Equilibrium nonlinear susceptibilities of an overdamped three-dimensional rotator in a uniaxial anisotropy potential }cos u ~u is the angle between the rotator axis and the potential symmetry axis!, which apply to independent magnetic particles and other rotationally bistable entities, are derived. In the crossover range from free-rotator to either two-state or plane-rotator regime induced by that potential, the dependences of the nonlinear susceptibilities on T can be steeper than those of the limit inverse-temperature power laws. The nonlinear susceptibilities can then resemble the high-temperature ranges of quantities diverging at low temperature, misleadingly suggesting interparticle interactions. @S0163-1829~97!04002-2#
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