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.

arXiv comment13 pages, 7 figures. Minor error corrected; shifts normalization of m^2

References in corpus (25)

• Signatures of the Tricritical Point in QCD
• Non-Gaussian fluctuations near the QCD critical point
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• On the sign of kurtosis near the QCD critical point
• Slowing Out of Equilibrium Near the QCD Critical Point
• Hadronic fluctuations at the QCD phase transition
• Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
• Third moments of conserved charges as probes of QCD phase structure
• Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
• Dynamic universality class of the QCD critical point
• Real time evolution of non-Gaussian cumulants in the QCD critical regime
• Diffusive dynamics of critical fluctuations near the QCD critical point
• Conformal Bootstrap With Slightly Broken Higher Spin Symmetry
• Transits of the QCD Critical Point
• The Sphaleron Rate: Bodeker's Leading Log
• Evolution of Non-Gaussian Hydrodynamic Fluctuations
• The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model
• Critical aging of Ising ferromagnets relaxing from an ordered state
• Spectral functions and dynamic critical behavior of relativistic $Z_2$ theories
• Dynamics of the $O(4)$ critical point in QCD
• Long-time traces of the initial condition in relaxation phenomena near criticality
• Transport coefficients of O(N) scalar field theories close to the critical point
• Off-equilibrium non-Gaussian fluctuations near the QCD critical point: an effective field theory perspective

Cited by in corpus (7)

• Simulations of stochastic fluid dynamics near a critical point in the phase diagram
• Dissipation dynamics of a scalar field
• Dynamical critical fluctuations near the QCD critical point with hydrodynamic cooling rate
• N-particle irreducible actions for stochastic fluids
• Charge symmetry breaking in hypernuclei within RMF model
• Enhancement of photon emission rate near QCD critical point
• Nonconserved critical dynamics of the two-dimensional Ising model as a surface kinetic roughening process