Current Fluctuations in Noninteracting Run-and-Tumble Particles in One Dimension

Explore current fluctuations in noninteracting run-and-tumble particles in one dimension through this 56-minute conference talk by Alberto Rosso. Delivered as part of the Thematic Programme on "Tensor Networks: Mathematical Structures and Novel Algorithms" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), the presentation delves into a collaborative study with T. Banerjee, S. Majumdar, and G. Schehr. Examine the distribution of flux through the origin up to time t in one-dimensional active run-tumble particles with a step initial condition. Discover how, while typical fluctuations of the flux at large times are indistinguishable from standard Brownian particles, the activity's fingerprints persist and give rise to an anomalous large-deviation form. Gain insights into this intriguing aspect of particle behavior and its implications for understanding complex systems.