We characterize the possible moments of entropy production for overdamped stationary Markov processes. We find a general formulation of the problem, and derive a new necessary condition relating the second and third moments. We determine all possible first, second, and third moments of entropy production for a white noise process. As a consequence, we obtain a lower bound for the skewness of the current fluctuations in dissipative devices such as transistors, thereby demonstrating that the Gaussianity assumption widely used, e.g., in electronic engineering is thermodynamically inconsistent.
Delvenne, J.-C., & Van Brandt, L. (2025). Moments of Entropy Production in Dissipative Devices. Physical Review Letters, 134(23). https://doi.org/10.1103/jqsx-ycjv (Original work published 2025)