Abstract
We study the critical relaxation properties of Model A (purely dissipative relaxation) starting from a macroscopically prepared initial state characterised by non-equilibrium values for order parameter and correlations. Using a renormalisation group approach we observe that even (macroscopically)early stages of the relaxation process display universal behaviour governed by a new, independent “initial slip” exponent. For large times, the system crosses over to the well-known long-time relaxation behaviour.
The new exponent is calculated toO(ε2) in ε=4−d, whered is the spatial dimension of the system. The initial slip scaling form of general correlation and response functions as well as the order parameter is derived, exploiting a short-time operator expansion. The leading scaling behaviour is determined by initial states with sharp values of the order parameter. Non-vanishing correlations generate corrections to scaling.
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Janssen, H.K., Schaub, B. & Schmittmann, B. New universal short-time scaling behaviour of critical relaxation processes. Z. Physik B - Condensed Matter 73, 539–549 (1989). https://doi.org/10.1007/BF01319383
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DOI: https://doi.org/10.1007/BF01319383