scholarly journals Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics

Particles ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 197-207 ◽  
Author(s):  
Francesco Becattini ◽  
Matteo Buzzegoli ◽  
Eduardo Grossi
Keyword(s):  
Local Thermodynamic Equilibrium ◽  
Quantum Statistical Mechanics ◽  
Gluon Plasma ◽  
Quantum Systems ◽  
Kubo Formula ◽  
Operator Approach ◽  
Nuclear Collisions ◽  
Quantum Statistical ◽  
Relativistic Nuclear Collisions ◽  
Nonequilibrium Quantum Statistical Mechanics

In this work, the nonequilibrium density operator approach introduced by Zubarev more than 50 years ago to describe quantum systems at a local thermodynamic equilibrium is revisited. This method, which was used to obtain the first “Kubo” formula of shear viscosity, is especially suitable to describe quantum effects in fluids. This feature makes it a viable tool to describe the physics of Quark–Gluon Plasma in relativistic nuclear collisions.

QUASI-MODULAR SYMMETRY AND QUASI-HYPERGEOMETRIC FUNCTIONS IN QUANTUM STATISTICAL MECHANICS OF FRACTIONAL EXCLUSION STATISTICS

1999 ◽  
Vol 13 (29n30) ◽  
pp. 1039-1046 ◽  
Author(s):  
KAZUMOTO IGUCHI ◽  
KAZUHIKO AOMOTO
Keyword(s):  
Statistical Mechanics ◽  
Modular Group ◽  
Hypergeometric Functions ◽  
Chemical Potential ◽  
Quantum Statistical Mechanics ◽  
Quantum Systems ◽  
Quantum Statistical ◽  
Physical Quantities

We investigate a novel symmetry in dualities of Wu's equation: wg(1+w)1-g=eβ(ε-μ) for a degenerate g-on gas with fractional exclusion statistics of g, where β=1/k B T, ∊ the energy, and μ the chemical potential of the system. We find that the particle–hole duality between g and 1/g and the supersymmetric duality between g and 1-g form a novel quasi-modular group of order six for Wu's equation. And we show that many physical quantities in quantum systems with the fractional exclusion statistics can be represented in terms of quasi-hypergeometric functions and that the quasi-modular symmetry acts on these functions.

scholarly journals ELECTROMAGNETIC RADIATION FROM BROKEN SYMMETRIES IN RELATIVISTIC NUCLEAR COLLISIONS

2007 ◽  
Vol 16 (07n08) ◽  
pp. 2350-2355 ◽  
Author(s):  
GUANG-YOU QIN ◽  
CHARLES GALE ◽  
ABHIJIT MAJUMDER
Keyword(s):  
Charge Asymmetry ◽  
Gluon Plasma ◽  
Baryon Density ◽  
Photon Production ◽  
Leading Order ◽  
Broken Symmetries ◽  
Nuclear Collisions ◽  
Direct Photon Production ◽  
Relativistic Nuclear Collisions ◽  
A Charge

A new channel of direct photon production from a quark gluon plasma (QGP) is explored in the framework of high-temperature QCD. This process appears at next-to-leading order, in the presence of a charge asymmetry in the excited matter. The photon production rate from this new mechanism is suppressed compared to the QCD annihilation and Compton scattering at low baryon density but assumes importance in baryon-rich matter.

scholarly journals PHOTON PRODUCTION IN RELATIVISTIC NUCLEAR COLLISIONS AT SPS AND RHIC ENERGIES

2004 ◽  
Vol 19 (31) ◽  
pp. 5351-5358 ◽  
Author(s):  
SIMON TURBIDE ◽  
RALF RAPP ◽  
CHARLES GALE
Keyword(s):  
Form Factors ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
Nucleon Nucleon ◽  
Proton Synchrotron ◽  
Relativistic Heavy Ion Collider ◽  
Super Proton Synchrotron ◽  
Strange Meson ◽  
Nuclear Collisions ◽  
Relativistic Nuclear Collisions

Chiral Lagrangians are used to compute the production rate of photons from the hadronic phase of relativistic nuclear collisions. Special attention to the role of the a1 pseudovector is paid. Calculations that include strange meson reactions, form factors, the use of consistent vector spectral densities, the emission from a quark-gluon plasma, and primordial nucleon-nucleon collisions reproduce the photon spectra measured at the Super Proton Synchrotron (SPS). Some predictions for the Relativistic Heavy Ion Collider (RHIC) are made.

scholarly journals Anisotropic flow and jet quenching in relativistic nuclear collisions

2015 ◽  
Vol 24 (02) ◽  
pp. 1530001 ◽  
Author(s):  
Guang-You Qin
Keyword(s):  
Dense Matter ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
High Energy ◽  
Jet Quenching ◽  
Relativistic Heavy Ion Collisions ◽  
Anisotropic Flow ◽  
Nuclear Collisions ◽  
Ion Collisions ◽  
Relativistic Nuclear Collisions

The exploration of the strong-interaction matter under extreme conditions is one of the main goals of relativistic heavy-ion collisions. We provide some of the main results on the novel properties of quark-gluon plasma, with particular focus given to the strong collectivity and the color opaqueness exhibited by such hot and dense matter produced in high-energy nuclear collisions at RHIC and the LHC.

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