2003/08/31 by Malte Henkel, Gunter M. Schütz, Gunter M Schütz · 2 citations
Mathematics · Physics and Astronomy · #Opinion Dynamics and Social Influence #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/37/3/004
published as J.Phys.A37:591-604,2004
arxiv created 2003/09/26 · openalex publication_date 2004/01/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The two-time nonequilibrium correlation and response functions in 1D kinetic classical spin systems with non-conserved dynamics and quenched to their zero-temperature critical point are studied. The exact solution of the kinetic Ising model with Glauber dynamics for a wide class of initial states allows for an explicit test of the universality of the non-equilibrium limit fluctuation-dissipation ratio X∞. It is shown that the value of X∞ depends on whether the initial state has finitely many domain walls or not and thus two distinct dynamic universality classes can be identified in this model. Generic 1D kinetic spin systems with non-conserved dynamics fall into the same universality classes as the kinetic Glauber-Ising model provided the dynamics is invariant under the C-symmetry of simultaneous spin and magnetic-field reversal. While C-symmetry is satisfied for magnetic systems, it need not be for lattice gases which may therefore display hitherto unexplored types of non-universal kinetics.