1,667 research outputs found
Quasi-particle model of QGP - a revisit
The quasi-particle model of quark gluon plasma (QGP) is revisited here with
thermodynamically consistent formalism, different from earlier studies, without
the need of temperature dependent bag constant as well as other effects such as
confinement effects, effective degrees of freedom etc. Our model has only one
system dependent parameter and surpraisingly good fit to lattice results for
gluon plasma, 2-flavor and 3-flavor QGP are obtained. The basic idea is to
evaluate energy density first from grand partition function of
quasi-particle QGP and then derive all other thermodynamic functions from
. Quasi-particles are assumed to have temperature dependent mass
equal to plasma frequency. Energy density, pressure and speed of sound are
evaluated and compared with available lattice data. We further extend the model
to finite chemical potential, without any new parameters, to obtain quark
density, quark susceptibility etc. and fits very well with the lattice results
on 2-flavor QGP.Comment: 7 pages (LaTex), 6 figures, revised with correction and new result
Self-consistent quasi-particle model for relativistic plasma
Relativistic plasma with radiation at thermodynamic equilibrium is ageneral
system of interest in astrophysics and high energy physics. We develop a new
self-consistent quasi-particle model for such a system to take account of
collective behaviour of plasma andthermodynamic properties are derived. It is
applied to electrodynamic plasma and quark gluon plasma and compared with
existing results.Comment: 9 pages, 2 figure
Comments on "Stronger Uncertainty Relations for All Incompatible Observables"
Recently, Maccone and Pati \cite{pa.1} derived new uncertainty relations
which they claim to be stronger than Heisenberg-Robertson or Schrodinger
uncertainty relations. Here we comment that their work is a special case of a
more general uncertainty relation and we reexamine some of their conclusions.Comment: 2 pages, comments on paper appeared in Phys. Rev. Lett. recentl
Is QGP really a liquid ?
Here we address the question regarding the nature of quark gluon plasma
(QGP), whether it is a liquid or strongly coupled plasma (SCP), using two
different phenomenological models, namely quasi-particle model (qQGP) and
strongly coupled quark gluon plasma (SCQGP). First we compare these two models,
both of which explains the results of lattice simulation of quantum
chromodynamics, as a function of plasma parameter and conclude that the QGP is
largely () SCQGP and only for it may be a liquid.Comment: 9 pages, 3 figures, article (Revised based on comments
Generalized Cauchy-Schwarz inequality and Uncertainty Relation
A generalized Cauchy-Schwarz inequality is derived and applied to uncertainty
relation in quantum mechanics. We see a modification in the uncertainty
relation and minimum uncertainty wave packet.Comment: 7 pages, articl
General and Stronger Uncertainty Relation
Recently, Maccone and Pati [Phys. Rev. Lett. {\bf 113}, 260401 (2014)]
derived few inequalities among variances of incompatible operators which they
called stronger uncertainty relations, stronger than Heisenberg-Robertson or
Schrodinger uncertainty relations. Here we generalize their study to get
infinite number of such inequalities and propose that only one of them may be
the correct uncertainty relation between incompatible operators. We get back
well known uncertainty relations of Heisenberg-Robertson and Schrodinger under
certain limits. We also reexamine the conclusions of Maccone and Pati and
comment on their work.Comment: 6 pages, articl
Virial expansion and condensation with a new generating function
Mayer's convergence method for virial expansion and condensation is studied
using a new generating function for canonical partition function, which
directly depends on irreducible cluster integral, , unlike Mayer's
work where it depends on reducible cluster integral, . The virial
expansion, criteria for it's validity and criteria for condensation, etc. are
derived from our generating function. All earlier Mayer's results are obtained
from this new generating function.Comment: article, 9 pages, revise
Thermodynamic Behaviour of Magnetized QGP within the Self-Consistent Quasiparticle Model
The self-consistent quasiparticle model has been successful in studying QCD
thermodynamics. In this model, the medium effects are taken into account by
considering quarks and gluons as quasiparticles with temperature-dependent
masses which are proportional to the plasma frequency. The present work
involves the extension of this model in the presence of magnetic fields. We
have included the effect of the magnetic field by considering relativistic
Landau Levels. The quasiparticle masses are then found to be dependent on both
temperature and magnetic field. The thermomagnetic mass thus defined allows
obtaining the thermodynamics of magnetized quark matter within the
self-consistent quasiparticle model. The model then has been applied to the
case of 2-flavor Quark-Gluon Plasma and the equation of state obtained in the
presence of magnetic fields
Generalized Darboux transformation and N-th order rogue wave solution of a general coupled nonlinear Schr\"{o}dinger equations
We construct a generalized Darboux transformation (GDT) of a general coupled
nonlinear Schr\"{o}dinger (GCNLS) system. Using GDT method we derive a
recursive formula and present determinant representations for N-th order rogue
wave solution of this system. Using these representations we derive first,
second and third order rogue wave solutions with certain free parameters. By
varying these free parameters we demonstrate the formation of triplet, triangle
and hexagonal patterns of rogue waves.Comment: 27 pages, 7 figures and Accepted for Publication in Commun. Nonlinear
Sci. Numer. Simu
On the characterization of breather and rogue wave solutions and modulation instability of a coupled generalized nonlinear Schr\"odinger equations
We construct Darboux transformation of a coupled generalized nonlinear
Schr\"odinger (CGNLS) equations and obtain exact analytic expressions of
breather and rogue wave solutions. We also formulate the conditions for
isolating these solutions. We show that the rogue wave solution can be found
only when the four wave mixing parameter becomes real. We also investigate the
modulation instability of the steady state solution of CGNLS system and
demonstrate that it can occur only when the four wave mixing parameter becomes
real. Our results give an evidence for the connection between the occurrence of
rogue wave solution and the modulation instability.Comment: 14 pages, 3 figures, To appear in Wave Motio
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