scholarly journals One-loop Kubo estimations of the shear and bulk viscous coefficients for hot and magnetized bosonic and fermionic systems

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Snigdha Ghosh ◽  
Sabyasachi Ghosh
Keyword(s):  
Fermionic Systems ◽  
Bulk Viscous

scholarly journals Combined Mean-Field and Semiclassical Limits of Large Fermionic Systems

2021 ◽  
Vol 182 (2) ◽  
Author(s):  
Li Chen ◽  
Jinyeop Lee ◽  
Matthew Liew
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Mean Field ◽  
Weak Limit ◽  
Weak Compactness ◽  
Three Dimensions ◽  
Uniform Estimates ◽  
Fermionic Systems ◽  
Semiclassical Limits ◽  
Semiclassical Regime

AbstractWe study the time dependent Schrödinger equation for large spinless fermions with the semiclassical scale $$\hbar = N^{-1/3}$$ ħ = N - 1 / 3 in three dimensions. By using the Husimi measure defined by coherent states, we rewrite the Schrödinger equation into a BBGKY type of hierarchy for the k particle Husimi measure. Further estimates are derived to obtain the weak compactness of the Husimi measure, and in addition uniform estimates for the remainder terms in the hierarchy are derived in order to show that in the semiclassical regime the weak limit of the Husimi measure is exactly the solution of the Vlasov equation.

scholarly journals Cosmic Evolution of Viscous QCD Epoch in Causal Eckart Frame

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 112
Author(s):  
Eman Abdel Hakk ◽  
Abdel Nasser Tawfik ◽  
Afaf Nada ◽  
Hayam Yassin
Keyword(s):  
Energy Density ◽  
Energy Flow ◽  
Equations Of State ◽  
Temporal Evolution ◽  
Particle Diffusion ◽  
Cosmic Evolution ◽  
Bulk Viscous ◽  
Viscous Pressure ◽  
Bulk Viscous Pressure ◽  
Particle Current

It is conjectured that in cosmological applications the particle current is not modified but finite heat or energy flow. Therefore, comoving Eckart frame is a suitable choice, as it merely ceases the charge and particle diffusion and conserves charges and particles. The cosmic evolution of viscous hadron and parton epochs in casual and non-casual Eckart frame is analyzed. By proposing equations of state deduced from recent lattice QCD simulations including pressure p, energy density ρ, and temperature T, the Friedmann equations are solved. We introduce expressions for the temporal evolution of the Hubble parameter H˙, the cosmic energy density ρ˙, and the share η˙ and the bulk viscous coefficient ζ˙. We also suggest how the bulk viscous pressure Π could be related to H. We conclude that the relativistic theory of fluids, the Eckart frame, and the finite viscous coefficients play essential roles in the cosmic evolution, especially in the hadron and parton epochs.

A micro canonical method for fermionic systems

1984 ◽  
Vol 418 ◽  
pp. 491-498 ◽  
Author(s):  
J. Polonyi ◽  
H.W. Wyld
Keyword(s):  
Fermionic Systems

scholarly journals Fermionic systems with charge correlations on the Bethe lattice

2007 ◽  
Vol 460-462 ◽  
pp. 1053-1054
Author(s):  
Ferdinando Mancini ◽  
Adele Naddeo
Keyword(s):  
Bethe Lattice ◽  
Charge Correlations ◽  
Fermionic Systems

scholarly journals Generalized invariants and quantum evolution of open fermionic systems

2000 ◽  
Vol 272 (1-2) ◽  
pp. 46-52 ◽  
Author(s):  
S.P Kim ◽  
A.E Santana ◽  
F.C Khanna
Keyword(s):  
Quantum Evolution ◽  
Fermionic Systems

scholarly journals Exact and asymptotic local virial theorems for finite fermionic systems

2010 ◽  
Vol 43 (25) ◽  
pp. 255204 ◽  
Author(s):  
M Brack ◽  
A Koch ◽  
M V N Murthy ◽  
J Roccia
Keyword(s):  
Fermionic Systems

scholarly journals Initial stage of quasiparticle decay in fermionic systems

2013 ◽  
Vol 87 (12) ◽  
Author(s):  
Y. Pavlyukh ◽  
J. Berakdar ◽  
A. Rubio
Keyword(s):  
Initial Stage ◽  
Fermionic Systems

CAUSAL BULK VISCOUS COSMOLOGIES IN CONFORMALLY FLAT SPACETIME

2000 ◽  
Vol 09 (04) ◽  
pp. 475-493 ◽  
Author(s):  
M. K. MAK ◽  
T. HARKO
Keyword(s):  
Large Time ◽  
Viscosity Coefficient ◽  
Approximate Solutions ◽  
Conformally Flat ◽  
First Order ◽  
Flat Spacetime ◽  
Bulk Viscous ◽  
Type Differential Equation ◽  
Bulk Viscosity Coefficient ◽  
Large Time Limit

The evolution of a causal bulk viscous cosmological fluid filled open conformally flat spacetime is considered. By means of appropriate transformations the equation describing the dynamics and evolution of the very early Universe can be reduced to a first order Abel type differential equation. In the case of a bulk viscosity coefficient proportional to the square root of the density, ξ~ρ1/2, an exact and two particular approximate solutions are obtained. The resulting cosmologies start from a singular state and generally have a noninflationary behavior, the deceleration parameter tending, in the large time limit, to zero. The thermodynamic consistency of the results is also checked.

scholarly journals Entanglement in fermionic systems

2007 ◽  
Vol 76 (2) ◽  
Author(s):  
Mari-Carmen Bañuls ◽  
J. Ignacio Cirac ◽  
Michael M. Wolf
Keyword(s):  
Fermionic Systems
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