18,500 research outputs found
The QCD Critical End Point in the Context of the Polyakov--Nambu--Jona-Lasinio Model
We investigate the phase diagram of the so-called
Polyakov--Nambu--Jona-Lasinio model at finite temperature and nonzero chemical
potential with three quark flavors. Chiral and deconfinement phase transitions
are discussed, and the relevant order-like parameters are analyzed. A special
attention is payed to the critical end point (CEP): the influence of the
strangeness on the location of the CEP is studied; also the strength of the
flavor-mixing interaction alters the CEP location, once when it becomes weaker
the CEP moves to low temperatures and can even disappear.Comment: Prepared for Strangeness in Quark Matter 2011, Sept. 18--24, Cracow,
Polan
Exploring the role of model parameters and regularization procedures in the thermodynamics of the PNJL model
The equation of state and the critical behavior around the critical end point
are studied in the context of the Polyakov--Nambu--Jona--Lasinio model. We
prove that a convenient choice of the model parameters is crucial to get the
correct description of isentropic trajectories. The physical relevance of the
effects of the regularization procedure is insured by the agreement with
general thermodynamic requirements. The results are compared with simple
thermodynamic expectations and lattice data.Comment: Talk given at XIII International Conference on Hadron Spectroscopy
(Hadron 2009), Tallahassee, Florida, USA, 29 Nov - 4 Dec, 200
A new truncated -fractional derivative type unifying some fractional derivative types with classical properties
We introduce a truncated -fractional derivative type for
-differentiable functions that generalizes four other fractional
derivatives types recently introduced by Khalil et al., Katugampola and Sousa
et al., the so-called conformable fractional derivative, alternative fractional
derivative, generalized alternative fractional derivative and -fractional
derivative, respectively. We denote this new differential operator by
, where the parameter , associated
with the order of the derivative is such that and is the notation to designate that the function to be derived involves the
truncated Mittag-Leffler function with one parameter.
The definition of this truncated -fractional derivative type satisfies the
properties of the integer-order calculus. We also present, the respective
fractional integral from which emerges, as a natural consequence, the result,
which can be interpreted as an inverse property. Finally, we obtain the
analytical solution of the -fractional heat equation and present a graphical
analysis.Comment: 16 pages, 3 figure
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