Microscopic theory of intrinsic shear and bulk viscosities

A microscopic theory of intrinsic shear and bulk viscosities of solutions is given for a model of particles that interact with hard-sphere cores and weak longrange attraction. The approximation considered (the velocity chaos assumption of the Enskog theory) can be expected to yield quantitatively useful values for viscosities of the model solute-solvent system when the solute particles are not much larger than the solvent particles. Under solute-solvent mixing conditions of constant pressure and temperature we find that the intrinsic viscosities of a hard-sphere solute in a hard-sphere solvent can be positive or negative, depending upon size and mass ratios; for solute and solvent particles whose mass ratio equals their volume ratio, the intrinsic shear and bulk viscosities are always positive for solute particles larger than solvent particles: in the opposite case, the intrinsic shear viscosity is always negative while the intrinsic bulk viscosity is for the most part negative, becoming positive again when the solute particle is sufficiently small. For solute particles smaller than solvent particles, this result is sensitive to change in mass ratio. The addition of solvent-solvent attraction is found to lower the intrinsic viscosities substantially; the addition of solute-solvent attraction raises it. Detailed quantitative analysis of these effects is given.     

Shear and bulk viscosity of high-temperature gluon plasma

We calculate the shear viscosity(η) and bulk viscosity(ζ) to entropy density(s) ratios η/s and ζ/s of a gluon plasma system in kinetic theory, including both the elastic gg?gg forward scattering and the inelastic soft gluon bremsstrahlung gg?ggg processes. Due to the suppressed contribution to η and ζ in the gg?gg forward scattering and the effective g?gg gluon splitting, Arnold, Moore and Yaffe(AMY) and Arnold, Dogan and Moore(ADM) have got the leading order computations for η and ζ in high-temperature QCD matter. In this paper, we calculate the correction to η and ζ in the soft gluon bremsstrahlung gg?ggg process with an analytic method.We find that the contribution of the collision term from the gg?ggg soft gluon bremsstrahlung process is just a small perturbation to the gg?gg scattering process and that the correction is at～ 5% level. Then, we obtain the bulk viscosity of the gluon plasma for the number-changing process. Furthermore, our leading-order result for bulk viscosity is the formula ζ∝(α_s~2 T~3)/(lnα_s~(-1)) in high-temperature gluon plasma.     

Meanvalue picture and ‘equivalent potential’ for a stochastic gluon background field

The main results (energy spectrum and the wave function at the origin) of a model with a stochastic gluon background field — the model of Dosch and Marquard — are alternatively achieved by the so-called meanvalue picture. In this approach it is not necessary to know the details of the stochastic process, therefore the formulas in this meanvalue picture emerge very simply. A local ‘equivalent potential’ to the stochastic process is deduced which reproduces with high accuracy the results of Dosch and Marquard for all values of the gluon correlation time. At last we compare this ‘equivalent potential’ with the well-known linear potential of Eichten et al.     

Technicolor pseudo-Goldstone boson couplings to gluon fields

Using the formalism of effective, chiral and gauge covariant, lagrangians, we discuss some phenomenological implications of the couplings of technicolor pseudo-Goldstone bosons to gluons. The interest of associated production of color triplet states in $\text{p}\text{p}$ collisions is pointed out.     

Influence of the nuclear bulk properties and the MIT bag constant on the phase transition to the quark gluon plasma

We consider the influence of the bulk properties of nuclear matter, namely the ground state incompressibility and the effective nucleon mass, and of the MIT bag constant on the phase transition from hadron matter to quark gluon plasma. It is mainly the effective nucleon mass which determines the stiffness of the equation of state and therefore also the behaviour of the phase transition curves. The energy densities in the coexistence region are found to increase for finite chemical potentials and softer equations of state up to 10 GeV/fm³. For small bag constants and for softer nuclear equations of state the phase boundary exhibits unusual deformations, due to the fact that the phase transition sets in already at pressures not too far from the saturation value. Although this would increase the experimental possibility to create the QGP, it is more likely that one must regard bag constants in the range of the original MIT value as not producing a realistic behaviour of the quark-hadron matter phase transition in the context of an MIT bag equation of state for the quark side.     

Longitudinal and bulk viscosities of binary fluid mixtures

Expressions for zeroth, second and fourth sum rules of longitudinal and bulk stress auto correlation functions have been derived for binary fluid mixtures. Longitudinal and bulk viscosities of an Ar–Kr mixture have been calculated using Mori's memory function formalism coupled with the sum rules of longitudinal and bulk stress auto correlation functions. The results obtained are compared with the molecular dynamics simulation. Mass dependence of the longitudinal and bulk viscosities has been studied for different compositions of an isotopic mixture at different densities and temperatures. For very large mass ratio, the longitudinal and bulk viscosities of the isotopic mixture are more dependent on mole fraction than on mass.     

High temperature gluon matter in the background gauge

The polarisation tensor of gluons in high temperature QCD matter is discussed in the back-ground gauge and compared with that in the temporal axialA ₀=0 gauge. In both of these the gluon polarisation tensor alone is sufficient to give the asymptotically free sign of the QCD beta function. In the former the beta function and the imaginary part of the polarisation tensor are coupled in such a way that asymptotic freedom implies instability of plasma oscillations. In the latter, due to the non-covariance of the gauge condition, the beta function and the imaginary part are decoupled in such a way that the sign of the imaginary part corresponds to stable plasma oscillations.     

Stability of quark gluon plasma to nielsen-olesen mode

Nielsen and Olesen showed that perturbative vacuum with uniform chromomagnetic field in one space and one color direction is unstable. This instability is called Nielsen-Olesen instability (NOI), and leads to formation of a ‘spaghetti of flux tubes’ as a model for non-perturbative vacuum and confinement. We re-examine this instability in presence of color sources, quarks and gluons, at a finite temperature and find that at sufficiently high temperature NOI is stabilized due to an ‘effective mass’ of gluons arising through plasma effects. This explains how a QGP with no confinement effects may exist at high temperature. As the temperature is lowered, NOI reappears at a valueT=T _c, which is very close to confinement-deconfinement transition from hadrons to QGP..     

Vanishing bulk viscosities and conformal invariance of the unitary fermi gas

By requiring general-coordinate and conformal invariance of the hydrodynamic equations, we show that the unitary Fermi gas has zero bulk viscosity, zeta=0, in the normal phase. In the superfluid phase, two of the bulk viscosities have to vanish, zeta1=zeta2=0, while the third one zeta3 is allowed to be nonzero.     

Status of the quark gluon plasma search

A selection of results are discussed that support the conclusion that strongly interacting quark gluon plasma is produced in heavy-ion collisions at the Relativistic Heavy Ion Collider at BNL.     

On the relaxation of volume and shear viscosities in vegetable oils

Longitudinal and shear ultrasonic measurements were performed on castor, tung, soyabean and cottonseed oils in the frequency ranges 50 kHz–30 MHz and 10–150 MHz using reverberation, pulse and impedance techniques respectively. In castor and tung oils relaxation spectra for both volume and shear viscosities are broad and identical in shape. In soyabean and cottonseed oils both volume and shear viscosities undergo single relaxation but the volume relaxation time is about 10 times larger than the shear. It is suggested that shear relaxation results from molecular orientation and volume relaxation from rearrangement of molecular packing.     

Classical gluon fields of relativistic color charges

The objective of the present study is to consider in more detail the exotic color-charge-glow effect discovered recently and to analyze its possible physical manifestations associated with the treatment of ensembles of color-charged particles at a classical level. The ways in which this effect may appear in arbitrary systems consisting of pointlike massive particles and admitting the partition into elementary configurations like color charges and color dipoles are studied. The possible influence of this effect on particle dynamics (in particular, on gluon distributions) is also examined. Particle collisions at a given impact parameters are considered for a natural regularization of emerging expressions. It is shown that, in the case of reasonable impact-parameter values, collisions may proceed in the electrodynamic mode, in which case the charge-glow contribution to field strengths is suppressed in relation to what we have in the electrodynamic picture. From an analysis of the color-echo situation, it follows that the above conclusion remains valid for more complicated particle configurations as well, since hard gluon fields may arise only owing to a direct collision rather than owing to any echo-like effects.     

Bulk and shear viscosities of a polydisperse hard-sphere fluid

The bulk and shear viscosity expressions for a multicomponent hard-sphere mixture in the Enskog transport theory are generalized to the polydisperse limit. The effect of polydispersity is expressed in terms of correction factors to the monodisperse fluid results. These correction factors have been evaluated for both a log-normal size distribution with the mass-size relation of a power-law form and a log-normal mass distribution with fixed particle size, which is the continuous limit of isotopes.     

Microscopic approach to shear viscosities of unitary Fermi gases above and below the superfluid transition

Recent experiments on the shear viscosity η in a unitary Fermi gas fail to see the theoretically predicted upturn in η at the lower T. In this Letter, we compute η in a fashion which is demonstrably consistent with conservation laws and, in the process, provide an understanding of recent experiments. We show that this disagreement with prior theories cannot be readily attributed to the trap, since (via edge effects) trap-averaged viscosities will be larger than their homogeneous counterparts. The small values of η we find can be simply understood; they reflect the fact that the Goldstone bosons (phonons) do not couple to transverse probes such as η, and fermionic excitations, which determine the viscosity, are necessarily absent in the ground state.     

Classical gluon fields and collective dynamics of color-charge systems

Physics of Atomic Nuclei - An investigation of color fields that arise in collisions of relativistic heavy ions reveals that, in the non-Abelian case, a change in the color charge leads to the...     

Electromagnetic signals of quark gluon plasma

Successive equilibration of quark degrees of freedom and its effects on electromagnetic signals of quark gluon plasma are discussed. The effects of the variation of vector meson masses and decay widths on photon production from hot strongly interacting matter formed after Pb + Pb and S + Au collisions at CERN SPS energies are considered. It has been shown that the present photon spectra measured by WA80 and WA98 Collaborations can not distinguish between the formation of quark matter and hadronic matter in the initial state.     

Transport coefficients of a gluon plasma

Transport coefficients of gluon plasma are calculated for an SU(3) pure gauge model by lattice QCD simulations on 16(3) x 8 and 24(3) x 8 lattices. Simulations are carried out at slightly above the deconfinement transition temperature T(c), where a new state of matter is currently being pursued in BNL RHIC experiments. Our results show that the ratio of the shear viscosity to the entropy is less than one and the bulk viscosity is consistent with zero in the region 1.4 < or = T/T(c) < or = 1.8.