Thermodynamic constraints on the nonequilibrium response of one-dimensional diffusions

The utility of the fluctuation-dissipation theorem near equilibrium has led to significant interest in expanding its validity and developing generalizations to nonequilibrium situations. Such generalizations, while immensely informative, tend to be rather formal. In this poster session, I will suggest a new approach to the study of static response of nonequilibrium steady states that can be modeled as one-dimensional diffusions on the circle. I will demonstrate that an arbitrary perturbation can be broken up into a combination of three specific classes of perturbations that can be fruitfully addressed individually. For each class, there is a simple formula that quantitatively characterizes the response in terms of the strength of nonequilibrium driving valid arbitrarily far from equilibrium. As an application, I will discuss how these predictions allow us to bound the violation of the fluctuation-dissipation theorem in nonequilibrium steady states in terms of the degree of nonequilibrium.