String Theory Journal Club

Statistical physics is essential in understanding the macroscopic properties of many-particle systems. In this talk, I will discuss density and its fluctuations in the one-dimensional Reisz gas consisting of particles interacting with each other via power-law interactions and confined in a harmonic trap. In the first part of my talk, I will discuss average density profile, correlations among the particles and the fluctuations in the all-to-all coupled systems at thermal equilibrium. Often due to screening effects, particles cannot interact with every other particle, which restricts the interaction range to be finite. Next, I will discuss how the density of particles changes as the interaction range is modified. In the final part, I will move to a non-equilibrium setup in which I will consider a variation of the well-known Calogero-Moser system subjected to active noises. I will discuss the effect of activity on the density profiles and the fluctuations of the particles.