Bistability and time crystals in long-ranged directed percolation.

ABSTRACT: Stochastic processes govern the time evolution of a huge variety of realistic systems throughout the sciences. A minimal description of noisy many-particle systems within a Markovian picture and with a notion of spatial dimension is given by probabilistic cellular automata, which typically feature time-independent and short-ranged update rules. Here, we propose a simple cellular automaton with power-law interactions that gives rise to a bistable phase of long-ranged directed percolation whose long-time behaviour is not only dictated by the system dynamics, but also by the initial conditions. In the presence of a periodic modulation of the update rules, we find that the system responds with a period larger than that of the modulation for an exponentially (in system size) long time. This bre

SUBMITTER: Pizzi A 

PROVIDER: S-EPMC7886908 | biostudies-literature | 2021 Feb

REPOSITORIES: biostudies-literature