Chiral Fluid Dynamics and Collapse of Vacuum Bubbles

Mishustin, I. N.; Scavenius, O.

doi:10.1103/physrevlett.83.3134

Cited by 61 publications

(88 citation statements)

References 30 publications

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“…Mishustin and Scavenius [36] constructed a relativistic mean-field ideal fluid dynamical model based on the LSM, while Abada and Birse [37] used the Vlasov equation to describe the quarks coupled to the LSM. Both studies focused on the evolution of the chiral fields rather than on the influence of their dynamics on hadronic observables, which is the main focus here.…”

Section: Introductionmentioning

confidence: 99%

Dissipative hydrodynamics coupled to chiral fields

Peralta-Ramos

Krein

2011

Phys. Rev. C

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Using second-order dissipative hydrodynamics coupled self-consistently to the linear σ model we study the 2 + 1 dimensional evolution of the fireball created in Au+Au relativistic collisions. We analyze the influence of the dynamics of the chiral fields on the charged-hadron elliptic flow v 2 and on the ratio v 4 /(v 2 ) 2 for a temperature-independent as well as for a temperature-dependent viscosity-to-entropy ratio η/s calculated from the linearized Boltzmann equation in the relaxation time approximation. We find that v 2 is not very sensitive to the coupling of chiral sources to the hydrodynamic evolution, but the temperature dependence of η/s plays a much bigger role on this observable. On the other hand, the ratio v 4 /(v 2 ) 2 turns out to be much more sensitive than v 2 to both the coupling of the chiral sources and the temperature dependence of η/s.

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Section: Introductionmentioning

confidence: 99%

Dissipative hydrodynamics coupled to chiral fields

Peralta-Ramos

Krein

2011

Phys. Rev. C

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“…Results in this direction will be reported in a future publication [29]. It is also interesting to study the hydrodynamics of nuclear matter at chiral limit as a phenomenological description of the chiral transition in an expanding quark-gluon plasma [30][31][32][33]. In fact, the coupling between chiral and hydrodynamical modes seem to play a very non-trivial role in the dynamics of hadronization [33] E.S.F.…”

Section: ∼ O(10mentioning

confidence: 99%

Finite-size constraints on nucleation of hadrons in a quark-gluon plasma

Fraga

Venugopalan

2004

Braz. J. Phys.

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We discuss finite-size effects on homogeneous nucleation in first-order phase transitions. We study their implications for cosmological phase transitions and to the hadronization of a quark-gluon plasma generated in high-energy heavy ion collisions.Finite-size scaling has achieved an immense success in the study of equilibrium critical phenomena. On the other hand, systematic studies of finite size effects in the case of metastable decays and other nonequilibrium processes are rare [1,2]. In this paper, we discuss finite size effects on the dynamics of homogeneous nucleation in a first-order temperature-driven transition (For more details, see [3]). In particular, we consider the case of cosmological phase transitions in the early universe [4], and that of a quark-gluon plasma (QGP) decay into hadronic matter in a high-energy heavy ion collision [5,6]. The former might provide sensible mechanisms to explain the baryon number asymmetry in the universe and primordial nucleosynthesis [7,8], whereas the latter is expected to be observed [9] at BNL Relativistic Heavy Ion Collider (RHIC). The length and time scales involved in each of these cases differ by several orders of magnitude.In the usual description of homogeneous nucleation [1], there are two ways in which the finite size of the system can affect the formation and evolution of bubbles and, consequently, the dynamics of phase conversion. Firstly, one has to consider the effects on the nucleation rate and the early stage growth of the bubbles. As will be shown below, this correction comes about through an intrinsic uncertainty in the determination of the supercooling undergone by the system. For the cases considered here, it brings only minor modifications to a description which assumes an infinite system. The second and, in general, most important finite-size effect is its influence on the domain coarsening process, or late-stage growth of the bubbles. The relevant length scales here are the typical size of the system, the radius of the critical bubble and the correlation length.In a continuum description of a first-order phase transition, it is common to consider a coarse-grained free energy, F , of the Landau-Ginzburg form with temperaturedependent coefficients [1]. (In the case of QCD, such a free energy can be obtained, for instance, from the oneloop effective potential of a linear sigma model coupled to quarks [10,11].) The nucleation rate can be expressed as Γ = P e −F b /T , where F b is the free energy of a critical bubble, with radius R c , and the prefactor P measures statistical and dynamical fluctuations about the saddle point of the Euclidean action in functional space. It is convenient to write the prefactor P as a product of the bubble's growth rate and a factor proportional to the ratio of the determinant of the fluctuation operator around the bubble configuration relative to that around the homogeneous metastable state [12]. For the relativistic case, in the thin-wall limit, we have [13]:Here, η and ξ are respectively the shear viscosity and ...

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“…In refs. [11,12], the discussion was in the context of a second order chiral phase transition where the larger potential energy of the inside region slowly decreases as the chiral field relaxes towards the true vacuum. In contrast, our model is based on a first order confinement-deconfinement phase transition, where the vacuum energy of the inside region can only decrease by collapse of the interface, or via nucleation of true vacuum bubbles in this region, which we will argue to be very suppressed.…”

Section: Physical Picture Of the Modelmentioning

confidence: 99%

Formation and collapse of false vacuum bubbles in relativistic heavy-ion collisions

Ray¹,

Sanyal²,

Srivastava³

2002

Nuclear Physics A

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It is possible that under certain situations, in a relativistic heavy-ion collision, partons may expand out forming a shell like structure. We analyze the process of hadronization in such a picture for the case when the quark-hadron transition is of first order, and argue that the inside region of such a shell must correspond to a supercooled (to T = 0) deconfined vacuum. Hadrons from that region escape out, leaving a bubble of pure deconfined vacuum with large vacuum energy. This bubble undergoes relativistic collapse, with highly Lorentz contracted bubble walls, and may concentrate the entire energy into extremely small regions. Eventually different portions of bubble wall collide, with the energy being released in the form of particle production. Thermalization of this system can lead to very high temperatures. With a reasonably conservative set of parameters, at LHC, the temperature of the hot spot can reach as high as 3 GeV, and well above it with more optimistic parameters. Such a hot spot can leave signals like large P T partons, dileptons, and enhanced production of heavy quarks. We also briefly discuss a speculative possibility where the electroweak symmetry may get restored in the highly dense region resulting from the decay of the bubble wall via the phenomenon of non-thermal symmetry restoration (which is usually employed in models of pre-heating after inflation). If that could happen then the possibility may arise of observing sphaleron induced baryon number violation in relativistic heavy-ion collisions.PACS numbers: 12.38.Mh, 98.80.Cq

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Chiral Fluid Dynamics and Collapse of Vacuum Bubbles

Cited by 61 publications

References 30 publications

Dissipative hydrodynamics coupled to chiral fields

Dissipative hydrodynamics coupled to chiral fields

Finite-size constraints on nucleation of hadrons in a quark-gluon plasma

Formation and collapse of false vacuum bubbles in relativistic heavy-ion collisions

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