Investigations into the characteristics and influences of nonequilibrium evolution
arXiv:2107.11382 · doi:10.1103/PhysRevC.105.064904
Abstract
In order to estimate qualitatively the influence of nonequilibrium evolution in relativistic heavy ion collisions, we use the three dimensional Ising model with Metropolis algorithm to study the evolution from nonequilibrium to equilibrium on the phase boundary. The evolution of order parameter approaches its equilibrium value exponentially, the same as that given by Langevin equation. The average relaxation time is defined which is demonstrated to well represent the relaxation time in dynamical equations. It is shown that the average relaxation time at critical temperature diverges as the zth power of system size. The third and the fourth cumulants of order parameter during the nonequilibrium evolution could be either positive or negative, depending on the observation time, consistent with dynamical models at T > Tc. It is found that the nonequilibrium evolution at T > Tc lasts very short, and the influence is weaker than that at T < Tc. Those qualitative features are instructive to determine experimentally the critical point and the phase boundary of QCD.
arXiv comment8 pages, 5 figures; add fig.3 and up date the eq.(9-10), and contents
References in corpus (24)
- Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
- The order of the quantum chromodynamics transition predicted by the standard model of particle physics
- Signatures of the Tricritical Point in QCD
- Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
- Non-Gaussian fluctuations near the QCD critical point
- 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
- Non-monotonic energy dependence of net-proton number fluctuations
- The Magnetization of the 3D Ising Model
- Dynamic universality class of the QCD critical point
- Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
- Real time evolution of non-Gaussian cumulants in the QCD critical regime
- The Chiral Critical Point in 3-Flavour QCD
- Diffusive dynamics of critical fluctuations near the QCD critical point
- Nonequilibrium Phase Transition in the Kinetic Ising model: Critical Slowing Down and Specific-heat Singularity
- Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
- Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model
- Hydro+ in Action: Understanding the Out-of-Equilibrium Dynamics Near a Critical Point in the QCD Phase Diagram
- The dynamic critical exponent of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model
- Universal scaling of the sigma field and net-protons from Langevin dynamics of model A