Non-Markovian persistence and nonequilibrium critical dynamics
Non-Markovian persistence and nonequilibrium critical dynamics
The persistence exponent $\ensuremath{\theta}$ for the global order parameter $M(t)$ of a system quenched from the disordered phase to its critical point describes the probability, $p(t)\ensuremath{\sim}{t}^{\ensuremath{-}\ensuremath{\theta}}$, that $M(t)$ does not change sign in the time interval $t$ following the quench. We calculate $\ensuremath{\theta}$ to $O({\ensuremath{\epsilon}}^{2})$ for model $A$ of Hohenberg …