Domain Growth in Chiral Phase Transitions

Abstract

We investigate the kinetics of chiral phase transitions in quark matter. We discuss the phase diagram of this system in both a microscopic framework (using the Nambu-Jona-Lasinio model) and a phenomenological framework (using a Landau free energy). Then, we study the far-from-equilibrium coarsening dynamics subsequent to a quench from the chirally-symmetric phase to the massive quark phase. Depending on the nature of the quench, the system evolves via either {\it spinodal decomposition} or {\it nucleation and growth}. The morphology of the ordering system is characterized using the order-parameter correlation function, structure factor, domain growth laws, etc.

arXiv comment40 pages with 14 figures, references added, introduction and discussions extended; version to appear in Nuclear Physics A

References in corpus (53)

• Theory of Phase Ordering Kinetics
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The QCD thermal phase transition in the presence of a small chemical potential
• The QCD Equation of State with almost Physical Quark Masses
• Finite density QCD via imaginary chemical potential
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• The Quark-Gluon Plasma in Equilibrium
• The Condensed Matter Physics of QCD
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The transition temperature in QCD
• Slowing Out of Equilibrium Near the QCD Critical Point
• Chiral Phase Transition within Effective Models with Constituent Quarks
• QCD at finite chemical potential with six time slices
• The Time-Delay Signature of Quark-Gluon-Plasma Formation in Relativistic Nuclear Collisions
• QCD phase diagram and the critical point
• Microphysical Approach to Nonequilibrium Dynamics of Quantum Fields
• The Status of Lattice QCD at Finite Temperature
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• High Density QCD and Instantons
• Chiral symmetry and density wave in quark matter
• Dynamic universality class of the QCD critical point
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Scalar density fluctuation at critical end point in NJL model
• QCD Phase Diagram: Phase Transition, Critical Point and Fluctuations
• Phase transition dynamics for baryon-dense matter
• Domain Coarsening in Systems Far from Equilibrium
• Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
• Chiral phase transition in the presence of spinodal decomposition
• First-Order Chiral Phase Transition in High-Energy Collisions: Can Nucleation Prevent Spinodal Decomposition?
• Pattern Dynamics of Rayleigh-Benard convective rolls and weakly segregated diblock copolymers
• Dynamic scaling and quasi-ordered states in the two dimensional Swift-Hohenberg equation
• Spinodal phase separation in relativistic nuclear collisions
• Forming Disoriented Chiral Condensates through Fluctuations
• Non-uniform chiral phase in effective chiral quark models
• Hydrodynamical description of first-order phase transitions: Analytical treatment and numerical modeling
• Effects of mesonic correlations in the QCD phase transition
• Phase conversion in a weakly first-order quark-hadron transition
• Meson Properties in the 1/N_c-corrected NJL model
• Can dissipation prevent explosive decomposition in high-energy heavy ion collisions?
• Out of Equilibrium Phase Transitions and a Toy Model for Disoriented Chiral Condensates
• The Quark Propagator in the NJL Model in a self-consistent 1/Nc Expansion
• Vacuum structure and effective potential at finite temperature: a variational approach
• Inhomogeneous freeze-out in relativistic heavy-ion collisions
• Enhancement of Critical Slowing Down in Chiral Phase Transition -- Langevin Dynamics Approach --
• Chiral Symmetry Breaking and Pion Wave Function
• Gluon Condensates, Chiral Symmetry Breaking and Pion Wave Function
• First order phase transition in the quark matter
• Phenomenological approach to the critical dynamics of the QCD phase transition revisited

Cited by in corpus (6)

• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Strong CP violation and chiral symmetry breaking in hot and dense quark matter
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu--Jona-Lasinio model
• Domain Growth in Chiral Phase Transitions: Inertial Dynamics
• Kinetics of Phase Transitions in Quark Matter
• Dynamical scaling for underdamped strain order parameters quenched below first-order phase transitions