Fluctuations in the Fourier Coefficient of Current in Periodically Driven Systems

Explore the intricacies of probability current fluctuations in nonequilibrium statistical mechanics through this 35-minute lecture by Oren Raz at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the study of all Fourier components of the time-dependent probability current in periodically driven stochastic systems, moving beyond the traditional focus on zero-frequency components. Discover methods for calculating current statistics, even when the current's Fourier frequency is incommensurate with the driving frequency. Examine the surprising composition of the cumulant generating function (CGF), including its continuous background and discontinuities at commensurate frequencies. Analyze how cumulants of increasing orders exhibit discontinuities at more locations but with decreasing amplitudes related to rational frequency ratios. Gain insights from this talk, which was part of the Thematic Programme on "Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems" held at ESI in 2022.