1997/02/21 by K. Oerding, Stephen J. Cornell, S. J. Cornell +2 · 3 citations
Physics and Astronomy · #Complex Network Analysis Techniques #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.56.r25
published as Phys. Rev. E 56 (1997) R25 · 4 pages, Revtex, no figures, requires multicol.sty
arxiv created 1997/02/21 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The persistence exponent \ensuremathθ 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∼t^\ensuremath-\ensuremathθ, that M(t) does not change sign in the time interval t following the quench. We calculate \ensuremathθ to O(\ensuremathε2) for model A of Hohenberg and Halperin [Rev. Mod. Phys. 49, 435 (1977)] (and to order \ensuremathε for model C) and show that at this order M(t) is a non-Markov process. Consequently, to our knowledge, \ensuremathθ 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)].