  A diffusive trajectory drawn by the generalized Langevin equation (GLE) for a
colloidal particle evokes a random fractal of a static polymer configuration.
This article proposes a static GLE-like description that enables the generation
of a single configuration of a polymer chain with the noise formulated to
satisfy the static fluctuation-response relation (FRR) along a one-dimensional
chain structure but not along a temporal coordinate. A remarkable point is
qualitative differences and similarities in the FRR formulation between the
static and the dynamical GLEs. Guided by the static FRR, we further make
analogous arguments in the light of stochastic energetics and the steady-state
fluctuation theorem.
