Long‐range interacting systems and dynamical phase transitions Available to Purchase

We briefly review the derivation of the Vlasov equation, which is a convenient approximation for the description of the transport properties of long‐range interacting systems. We then point out that the presence of an external source of noise, like for instance a heat bath, induces dynamical phase transitions from ordered non‐equilibrium Vlasov‐stable states to disordered ones.