Linear response theory lies at the foundation of transport phenomena, predicting that physical systems respond proportionally to weak external forces. Here, we show that this principle can break down in a minimal nonequilibrium setting due to state-dependent stochastic resetting. We consider a Langevin particle driven by a constant external force $F$ and subject to a velocity-dependent resetting rate $r\left(v\right)={\lambda \left|v\right|}^{\alpha }$, where $\alpha$ controls the velocity dependence of the resetting. We derive the exact steady-state velocity distribution and establish a moment balance relation that links external driving, viscous dissipation, and resetting-induced dissipation. This relation reveals that the response is controlled by a nonlinear coupling between the velocity and the resetting rate, leading to nonlinear transport. In the deterministic limit without friction and diffusion, the mean velocity obeys the exact power law $\langle v\rangle \propto F^{1/(\alpha +1)}$ at all force strengths. In the presence of friction or velocity diffusion with $\alpha >0$, linear response is recovered at weak driving, followed by a crossover to the same nonlinear scaling at strong driving. Our results provide a solvable example in which linear response fails at the level of the leading-order behavior and identify velocity-dependent resetting as a minimal dynamical mechanism for generating nonlinear transport in nonequilibrium steady states. More broadly, they suggest a framework for understanding transport in stochastic systems with feedback or environment-dependent dynamics.

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• Nonequilibrium fluctuations
• Nonequilibrium statistical mechanics
• Stochastic processes
• Stochastic resetting
• Transport phenomena
• Nonequilibrium systems
• Linear response theory
• Stochastic processes & statistics