Abstract
The persistence exponent for the global order parameter of a system quenched from the disordered phase to its critical point describes the probability, , that does not change sign in the time interval following the quench. We calculate to for model of Hohenberg and Halperin [Rev. Mod. Phys. 49, 435 (1977)] (and to order for model ) and show that at this order is a non-Markov process. Consequently, to our knowledge, is a new exponent. The calculation is performed by expanding around a Markov process, using a simplified version of the perturbation theory recently introduced by Majumdar and Sire [Phys. Rev. Lett. 77, 1420 (1996)].
- Received 13 February 1997
DOI:https://doi.org/10.1103/PhysRevE.56.R25
©1997 American Physical Society