Collective Non-Abelian Instabilities in a Melting Color Glass Condensate

Romatschke, Paul; Venugopalan, Raju

doi:10.1103/physrevlett.96.062302

Cited by 268 publications

(432 citation statements)

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“…[11] was previously interpreted as the Nielsen-Olesen instability of the longitudinally uniform color magnetic fields produced in between two sheets of the Color Glass Condensates [6,7]. Although the simulation in Ref.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…[13] was performed in the Cartesian coordinates, the adopted initial condition was extremely anisotropic in the momentum space, which is inherent to the collision dynamics, and we consider the primary instability observed there has the same origin as the one in Ref. [11].…”

Section: Summary and Discussionmentioning

confidence: 99%

“…The variance ∆ 2 for the transverse momentum p ⊥ = p 2 x + p 2 y may be identified with the saturation scale Q 2 s , while ∆ z for the longitudinal momentum p z is taken as small enough ∆ z ≪ ∆ to give a δ(p z )-like distribution practically. We emphasize here that the initial configuration thus generated will have a nontrivial correlation over the transverse distance ∼ 1/Q s while it will be very smooth in the z direction, which is quite similar to the longitudinal flux tubes with rapidity-dependent soft fluctuations in the glasma [11,7]. Therefore, what was done in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…These rapiditydependent effects may be treated as small fluctuations on top of the boostinvariant classical configurations. The first investigation on the consequences of rapidity-dependent fluctuations was attempted in a numerical simulation of the classical SU(2) Yang-Mills field in an expanding geometry (i.e., in the proper-time and rapidity τ -η coodinates) [11] and it was shown that the soft fluctuations indeed grow exponentially, contributing positively to the longitudinal pressure, although the adopted initial fluctuations seemed somewhat too small. This simulation strongly suggests that the boost-invariant system is unstable with respect to the rapidity-dependent soft fluctuations.…”

Section: Introductionmentioning

confidence: 99%

“…Especially, positive longitudinal pressure is never generated [10,11], and therefore no thermalization is expected to be achieved. In reality, however, boost-invariance of the system is naturally violated due to finite thickness of the colliding nuclei and quantum fluctuations [12] both of which are in general rapidity dependent.…”

Section: Introductionmentioning

confidence: 99%

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Instabilities in non-expanding glasma

2009

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A homogeneous color magnetic field is known to be unstable for the fluctuations perpendicular to the field in the color space (the Nielsen-Olesen instability). We argue that these unstable modes, exponentially growing, generate an azimuthal magnetic field with the original field being in the z-direction, which causes the Nielsen-Olesen instability for another type of fluctuations. The growth rate of the latter unstable mode increases with the momentum p z and can become larger than the former's growth rate which decreases with increasing p z . These features may explain the interplay between the primary and secondary instabilities observed in the real-time simulation of a non-expanding glasma, i.e., stochastically generated anisotropic Yang-Mills fields without expansion.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Instabilities in non-expanding glasma

2009

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Investigation of the particle spin properties on the velocity space instability in high‐density plasmas

Khanzadeh

Mahdavi

2017

Contrib. Plasma Phys

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The nonresonant electromagnetic instabilities of the anisotropic velocity space (Weibel-like) have always been one of the interesting subjects for researchers. These electromagnetic instabilities play an important role in generating strong magnetic fields in laboratory plasmas for applications such as inertial confinement fusion and space plasmas. In this paper, we investigate the quantum effects of the particle spin on the electromagnetic instabilities. In the case of the presence of a magnetic dipole force and an electron precession frequency like the Vlasov equation, we derive the full quantum equation. This study shows that, in the presence of the spin-polarized effects, the growth rate of the instabilities is reduced compared to the classical cases and will not arise for low fractions of the temperature anisotropy for different values of the magnetic field. Indeed, it is expected that the probability of electron capture in the background magnetic fields and the effective collision with the particle increase because of the spin effect, so that a high portion of the electron energy is transmitted to the background plasma, and the temperature anisotropy governing the electron distribution is reduced. KEYWORDS electron precession frequency, magnetic dipole force, nonresonant instability, temperature anisotropy INTRODUCTIONQuantum plasma physics has many applications, for example, in the fields of high-intensity laser-plasma interaction, [1,2] metal and semiconductor nanostructures, [3,4] and astrophysical plasmas. [5,6] The electron density in semiconductors is much smaller than that in metals but the de Broglie wavelength of the charge carriers is comparable to the spatial scale of the profile. Therefore, the quantum effects associated with quantum tunneling particle dispersive effects (delocalized wave functions) can become important. As is known, the spin motions of quantum systems and the magnetization related to the intrinsic spin can be important in semiconductors, in metal alloys, and, more generally, in magnetic nanostructures. [7][8][9][10] For example, it is known that magnetic moment motion allows the magnetoresistive read-heads to respond to the bits of hard disks for memory. In the field of laser plasmas, in particular inertial confinement fusion (ICF) plasmas, the spin-polarized fuel idea was proposed initially by More. [11] Investigations have shown that the thermonuclear cross-section can increase by 50% by using spin-polarized D-T fuel. Consequently, the ignition thresholds can be reduced and the fraction of the fuel burned can be increased before target disassembly. Also, the driver energy required can be reduced by the spin-polarized fuel. In addition, the use of spin-polarized fuel can lead to an anisotropic emission of -particles in the fusion reaction product. This anisotropy spatially concentrates the plasma self-heating and leads to the development of fuel ignition. [12][13][14] In ICF, a large portion of the driver energy must be converted to fusion energy of the nuclear fuel for reachin...

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New Forms of High Energy Density Matter

McLerran

2013

Exciting Interdisciplinary Physics

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In this talk, I discuss the scientific issues being addressed in ultrarelativistic heavy ion collisions. I also discuss some of the recent results from RHIC at Brookhaven National Laboratory which give some experimental insight into these issues.1 High Density Matter The Goals of RHICThe goal of nuclear physics has traditionally been to study matter at the highest possible densities. This has been done in the past by studying the atomic nucleus, where energy densities become of the order of High energy nuclear physics has extended this study to energy densities several orders of magnitude higher. This extension includes the study of matter inside ordinary strongly interacting particles, such as the proton and the neutron, and producing new forms of matter at much higher energy densities in high energy collisions of nuclei with nuclei, and various other probes.RHIC is a multi-purpose machine which can address at least two issues related to the properties of matter at very high energy density. These are: 0 The production of matter at energy densities one to two order of magnitude higher than that of nuclear matter and the study of its properties. This matter is at such high densities that it is only simply described in terms of quarks and gluons and is generically referred to as the Quark Gluon Plasma. The study of this matter may allow us to better understand the origin of the masses of ordinary particles such as nucleons, and of the confinement of quarks and gluons into hadrons. The Quark Gluon Plasma will be described below.

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Collective Non-Abelian Instabilities in a Melting Color Glass Condensate

Cited by 268 publications

References 46 publications

Instabilities in non-expanding glasma

Instabilities in non-expanding glasma

Investigation of the particle spin properties on the velocity space instability in high‐density plasmas

New Forms of High Energy Density Matter

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