Fluctuation Dissipation in Non-Equilibrium Systems

Since its first observation by John B. Johnson and formulation by Harry Nyquist, Fluctuation-Dissipation Theorem has provided a mechanism for peeking into the behavior of thermodynamic systems as they are perturbed from equilibrium. However, despite the theorem’s widespread usefulness, a great portion of the world around us cannot be reduced to systems which approximate equilibrium closely enough for Fluctuation-Dissipation Theorem to apply. We attempt to help bridge this gap by exploring the statistics of highly tunable non-equilibrium systems. Towards this goal, we return to the Johnson-Nyquist system of electrons scattering around a resistor lattice—by simulating the trajectories of electrons in rapidly fluctuating lattices, we hope to establish the status of Fluctuation-Dissipation Theorem in non-equilibrium systems.