Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 48: Statistical Physics far from Thermal Equilibrium
DY 48.6: Talk
Thursday, March 19, 2020, 11:00–11:15, ZEU 147
Acceleration of non-equilibrium relaxations from long-range initial conditions — •Malte Henkel — MPIPKS, Noethnitzer Strasse 38, D - 01187 Dresden, Germany
Physical ageing is a widespread phenomenon which arises typically after a complex many-body system is quenched from some initial state to a more ordered state, where characteristically several equivalent equilibrium states compete in the control of the long-time evolution. Here we study those ageing processes which may arise in systems which undergo biased transport, in a preferred direction. Specific examples, notably the exact solution of the one-dimensional biased Glauber-Ising chain, show that the dynamical exponent z, defined through the relevant cluster size L(t)∼ t1/z at large times t, can depend on the chosen initial conditions. In particular, we shall show that sufficiently long-range initial correlations can lead to a cross-over from effectively diffusive transport, where z=2, to ballistic transport with z=1. This leads to a considerable acceleration of the dynamics, whose possible applications will be explored.
M. Henkel, S. Stoimenov, J. Stat. Mech. 084009 (2019) [arxiv:1810.09855].