Dynamics of non-Gaussian fluctuations in model A

Abstract

Motivated by the experimental search for the QCD critical point we perform simulations of a stochastic field theory with purely relaxational dynamics (model A). We verify the expected dynamic scaling of correlation functions. Using a finite size scaling analysis we obtain the dynamic critical exponent $z=2.026(56)$. We investigate time dependent correlation functions of higher moments $M^n(t)$ of the order parameter $M(t)$ for $n=1,2,3,4$. We obtain dynamic scaling with the same critical exponent $z$ for all $n$, but the relaxation constant depends on $n$. We also study the relaxation of $M^n(t)$ after a quench, where the simulation is initialized in the high temperature phase, and the dynamics is studied at the critical temperature $T_c$. We find that the evolution does not follow simple scaling with the dynamic exponent $z$, and that it involves an early time rise followed by late stage relaxation.

13 pages, 7 figures. Minor error corrected; shifts normalization of m^2

References in corpus (4)

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• Dynamic universality class of the QCD critical point
• Dynamics of the $O(4)$ critical point in QCD
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• Enhancement of photon emission rate near QCD critical point
• Nonconserved critical dynamics of the two-dimensional Ising model as a surface kinetic roughening process