1996/06/17 by S. N. Majumdar, A. J. Bray, S. J. Cornell +1 · 1 citation
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevlett.77.3704
published as Phys. Rev. Lett. 77 (1996) 3704 · 4 pages, revtex, one figure
arxiv created 1996/06/17 · arxiv updated 2009/11/30
A `persistence exponent' θ is defined for nonequilibrium critical phenomena. It describes the probability, p(t) ∼ t-θ, that the global order parameter has not changed sign in the time interval t following a quench to the critical point from a disordered state. This exponent is calculated in mean-field theory, in the n=∞ limit of the O(n) model, to first order in ε= 4-d, and for the 1-d Ising model. Numerical results are obtained for the 2-d Ising model. We argue that θ is a new independent exponent.