Nonuniform-temperature effects on the phase transition in an Ising-like model

Abstract

In this study, we investigate the spatially nonuniform-temperature effects on the QCD chiral phase transition in the heavy-ion collisions. Since the QCD effective theory and the Ising model belong to the same universality class, we start our discussion by mimicking the QCD effective potential with an Ising-like effective potential. In contrast to the dynamical slowing down effects which delays the phase transition from quark-gluon-plasma to hadron gas, the spatially nonuniform-temperature effects show a possibility to lift the phase transition temperature. Besides, both the fluctuations and the correlation length are enhanced in the phase transition region. Furthermore, the critical phenomena is strongly suppressed like as the critical slowing down effects. The underlying mechanism is the nonzero-momentum mode fluctuations of the order parameter induced by the nonuniform temperature. Our study provides a method to evaluate the nonuniform-temperature effects, and illustrate its potential influence on analyzing the QCD phase transition signals at RHIC.

arXiv comment8 pages, 9 figures (Published version)

References in corpus (47)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The chiral and deconfinement aspects of the QCD transition
• The phase diagram of dense QCD
• Radial and elliptic flow at RHIC: further predictions
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Decoding the phase structure of QCD via particle production at high energy
• Non-Gaussian fluctuations near the QCD critical point
• Centrality dependence of $\pi$, K, p production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Bulk Properties of the Medium Produced in Relativistic Heavy-Ion Collisions from the Beam Energy Scan Program
• Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• 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
• Chiral Phase Transition within Effective Models with Constituent Quarks
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• The Phase Diagram of the Quark-Meson Model
• Pion, kaon, and proton production in central Pb-Pb Collisions at $\sqrt{s_{NN}}=2.76$ TeV
• Non-monotonic energy dependence of net-proton number fluctuations
• Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
• Phase diagram and critical endpoint for strongly-interacting quarks
• Effective Action for the Quark-Meson Model
• Vacuum fluctuations and the thermodynamics of chiral models
• Hydrodynamical evolution near the QCD critical end point
• Real time evolution of non-Gaussian cumulants in the QCD critical regime
• Renormalization Group Approach towards the QCD Phase Diagram
• A collision geometry-based 3D initial condition for relativistic heavy-ion collisions
• Diffusive dynamics of critical fluctuations near the QCD critical point
• Hydrodynamics Near a Chiral Critical Point
• Universal off-equilibrium scaling of critical cumulants in the QCD phase diagram
• Dynamical net-proton fluctuations near a QCD critical point
• (3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density
• A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
• Hydro+ in Action: Understanding the Out-of-Equilibrium Dynamics Near a Critical Point in the QCD Phase Diagram
• Correlated fluctuations near the QCD critical point
• Fluctuation dynamics near the QCD critical point
• Little-Bang and Femto-Nova in Nucleus-Nucleus Collisions
• Baryon clustering at the critical line and near the hypothetical critical point in heavy-ion collisions
• Universality of the critical point mapping between Ising model and QCD at small quark mass
• Universal scaling of the sigma field and net-protons from Langevin dynamics of model A
• Dynamical fluctuations in critical regime and across the 1st order phase transition
• Multiplicity fluctuations of net protons on the hydrodynamic freeze-out surface

Cited by in corpus (4)

• Non-equilibrium cumulants within model A from crossover to first-order phase transition side
• The equilibrium and dynamical cumulants of QCD chiral order parameter with parametric Landau free energy
• Dynamical and finite-size effects on the criterion of first-order phase transition
• Split of the pseudo-critical temperatures of chiral and confine/deconfine transitions by temperature gradient