Hyperuniformity in a exactly-solvable active-absorbing models
Lundi 08/11/2021, 14:00-15:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
It is known from simulations that in systems with an active-absorbing phase transition, the final absorbing states near the transition show suppressed density fluctuations, a phenomenon known as hyperuniformity. The configurational entropy of the final absorbing state also shows a cusp at the transition. In this talk I will focus on two 1D models of active-absorbing phase transition, the 1D fixed-energy Abelian Sandpile Model, and in Conserved Lattice Gases with range n in 1D. I will show that for these models, both the density fluctuations of the absorbing states and the formation of the cusp in the configurational entropy can be calculated exactly. I will conclude with discussion of dynamical properties, such as the relaxation to an absorbing state.